1,000,000,000

1000000000
List of numbers Integers ← 10 0 10 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9
Cardinal	One billion ( short scale ) One thousand million, or one milliard ( long scale )
Ordinal	One billionth (short scale)
Factorization	2 9 5 9
Greek numeral	${\displaystyle {\stackrel {\iota }{\mathrm {M} }}}$
Roman numeral	M
Binary	111011100110101100101000000000 2
Ternary	2120200200021010001 3
Senary	243121245344 6
Octal	7346545000 8
Duodecimal	23AA93854 12
Hexadecimal	3B9ACA00 16

1,000,000,000 (one billion , short scale ; one thousand million or one milliard, one yard, ^[1] long scale ) is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b , bil ^{[ citation needed ]} or bn . ^{[2] [3]}

In standard form, it is written as 1 × 10 ⁹ . The metric prefix giga indicates 1,000,000,000 times the base unit. Its symbol is G .

One billion years may be called an eon in astronomy or geology.

Previously in British English (but not in American English ), the word "billion" referred exclusively to a million millions (1,000,000,000,000). However, this is not common anymore, and the word has been used to mean one thousand million (1,000,000,000) for several decades. ^[4]

The term milliard could also be used to refer to 1,000,000,000; whereas "milliard" is rarely used in English, ^[5] variations on this name often appear in other languages .

In the Indian numbering system , it is known as 100 crore or 1 arab .

1,000,000,000 is also the cube of 1000 .

Sense of scale [ edit ]

The facts below give a sense of how large 1,000,000,000 (10 ⁹ ) is in the context of time according to current scientific evidence:

Time [ edit ]

• 10 ⁹ seconds (1 gigasecond) equal 11,574 days, 1 hour, 46 minutes and 40 seconds (approximately 31.7 years, or 31 years, 8 months, 8 days).
• About 10 ⁹ minutes ago, the Roman Empire was flourishing and Christianity was emerging. (10 ⁹ minutes is roughly 1,901 years.)
• About 10 ⁹ hours ago, modern human beings and their ancestors were living in the Stone Age (more precisely, the Middle Paleolithic ). (10 ⁹ hours is roughly 114,080 years.)
• About 10 ⁹ days ago, Australopithecus , an ape-like creature related to an ancestor of modern humans, roamed the African savannas . (10 ⁹ days is roughly 2.738 million years.)
• About 10 ⁹ months ago, dinosaurs walked the Earth during the late Cretaceous . (10 ⁹ months is roughly 83.3 million years.)
• About 10 ⁹ years?a gigaannus ?ago, the first multicellular eukaryotes appeared on Earth.
• About 10 ⁹ decades ago, the thin disk of the Milky Way started to form. (10 ⁹ decades is exactly 10 billion years.)
• The universe is thought to be about 13.8 × 10 ⁹ years old. ^[6]

Distance [ edit ]

• 10 ⁹ inches is 15,783 miles (25,400 km), more than halfway around the world and thus sufficient to reach any point on the globe from any other point.
• 10 ⁹ metres (called a gigametre ) is almost three times the distance from the Earth to the Moon .
• 10 ⁹ kilometres (called a terametre ) is over six times the distance from the Earth to the Sun .

Area [ edit ]

• A billion square inches could make a square about one half mile on a side.
• A bolt of finely woven 1000-TC bed sheet linen with a billion thread crossings would have an area of 40 square metres (48 sq yd), comparable to the floor area of a motel unit.

Volume [ edit ]

• There are one billion cubic millimetres in a cubic metre , and a billion cubic metres in a cubic kilometre .
• A billion grains of table salt or granulated sugar would occupy a volume of about 2.5 cubic feet (0.071 m ³ ).
• A billion cubic inches would be a volume comparable to a large commercial building slightly larger than a typical supermarket.

Weight [ edit ]

• Any object that weighs one billion kilograms (2.2 × 10 ⁹  lb) would weigh about as much as 5,525 empty Boeing 747-400s .
• A cube of iron that weighs one billion pounds (450,000,000 kg) would be 38.62 metres (126.7 ft) on each side.

Products [ edit ]

• As of July 2016, Apple has sold one billion iPhones . ^[7] This makes the iPhone one of the most successful product lines in history, surpassing the PlayStation and the Rubik's Cube .
• As of January 2023, Facebook has 2.963 billion users. ^[8]

Nature [ edit ]

• A small mountain, slightly larger than Stone Mountain in Georgia, United States, would weigh (have a mass of) a billion tons.
• There are billions of worker ants in the largest ant colony in the world, ^[9] which covers almost 4,000 miles (6,400 km) of the Mediterranean coast.
• In 1804, the world population was one billion.

Count [ edit ]

A is a cube; B consists of 1000 cubes the size of cube A , C consists of 1000 cubes the size of cube B ; and D consists of 1000 cubes the size of cube C . Thus there are 1 million A -sized cubes in C ; and 1,000,000,000 A -sized cubes in D .

Selected 10-digit numbers (1,000,000,001?9,999,999,999) [ edit ]

1,000,000,001 to 1,999,999,999 [ edit ]

• 1,000,000,007  : smallest prime number with 10 digits. ^[10]
• 1,000,006,281  : smallest triangular number with 10 digits and the 44,721st triangular number.
• 1,000,014,129 = 31623 ² , the smallest ten-digit square.
• 1,003,003,001 = 1001 ³ , palindromic cube
• 1,023,456,789  : smallest pandigital number in decimal. ^[11]
• 1,026,753,849 = 32043 ² , the smallest pandigital square in base 10.
• 1,069,863,695 = number of square (0,1)-matrices without zero rows and with exactly 9 entries equal to 1 ^[12]
• 1,073,741,824 = 32768 ² = 1024 ³ = 64 ⁵ = 32 ⁶ = 8 ¹⁰ = 4 ¹⁵ = 2 ³⁰
• 1,073,742,724  : Leyland number
• 1,073,792,449  : Leyland number
• 1,093,104,961 = number of (unordered, unlabeled) rooted trimmed trees with 28 nodes ^[13]
• 1,104,891,746 = number of partially ordered set with 12 unlabeled elements ^[14]
• 1,111,111,111  : repunit , also a special number relating to the passing of Unix time .
• 1,129,760,415 = 23rd Motzkin number . ^[15]
• 1,134,903,170 = 45th Fibonacci number .
• 1,139,733,677  : number k such that the sum of the squares of the first k primes is divisible by k. ^[16]
• 1,160,290,625 = 65 ⁵
• 1,162,261,467 = 3 ¹⁹
• 1,162,268,326  : Leyland number
• 1,166,732,814 = number of signed trees with 17 nodes ^[17]
• 1,173,741,824  : Leyland number
• 1,220,703,125 = 5 ¹³
• 1,221,074,418  : Leyland number
• 1,232,922,769  : Centered hexagonal number .
• 1,234,567,890  : pandigital number with the digits in order.
• 1,252,332,576 = 66 ⁵
• 1,280,000,000 = 20 ⁷
• 1,291,467,969 = 35937 ² = 1089 ³ = 33 ⁶
• 1,311,738,121  : 25th Pell number . ^[18]
• 1,350,125,107 = 67 ⁵
• 1,382,958,545  : 15th Bell number . ^[19]
• 1,392,251,012  : number of secondary structures of RNA molecules with 27 nucleotides ^[20]
• 1,405,695,061  : Markov prime
• 1,406,818,759  : 30th Wedderburn?Etherington number . ^[21]
• 1,421,542,641  : logarithmic number. ^[22]
• 1,425,893,465 = Population of the People's Republic of China in 2018. ^{[23] [24]}
• 1,453,933,568 = 68 ⁵
• 1,464,407,113  : number of series-reduced trees with 39 nodes ^[25]
• 1,466,439,680  : number of independent vertex sets and vertex covers in the 21- sunlet graph ^[26]
• 1,475,789,056 = 38416 ² = 196 ⁴ = 14 ⁸
• 1,528,823,808 = 1152 ³
• 1,533,776,805  : pentagonal triangular number
• 1,544,804,416 = 39304 ² = 1156 ³ = 34 ⁶
• 1,564,031,349 = 69 ⁵
• 1,606,879,040  : Dowling number ^[27]
• 1,631,432,881 = 40391 ² , square triangular number
• 1,661,392,258  : n such that n divides (3 ⁿ + 5) ^[28]
• 1,673,196,525  : Least common multiple of the odd integers from 1 to 25
• 1,677,922,740  : number of series-reduced planted trees with 36 nodes ^[29]
• 1,680,700,000 = 70 ⁵
• 1,755,206,648  : coefficient of a menage hit polynomial ^[30]
• 1,767,263,190 = ${\displaystyle C(19)={\frac {\binom {2\times 19}{19}}{19+1}}={\frac {(2\times 19)!}{19!\times (19+1)!}}}$^[31]
• 1,787,109,376  : 1- automorphic number ^[32]
• 1,801,088,541 = 21 ⁷
• 1,804,229,351 = 71 ⁵
• 1,808,141,741  : number of partitions of 280 into divisors of 280 ^[33]
• 1,808,676,326  : number of 38-bead necklaces (turning over is allowed) where complements are equivalent ^[34]
• 1,836,311,903  : 46th Fibonacci number.
• 1,838,265,625 = 42875 ² = 1225 ³ = 35 ⁶
• 1,848,549,332  : number of partitions of 270 into divisors of 270 ^[33]
• 1,857,283,156  : number of 37-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed ^[35]
• 1,882,341,361  : The smallest prime whose reversal is a square triangular number (triangular of 57121).
• 1,921,525,212  : number of partitions of 264 into divisors of 264 ^[33]
• 1,934,502,740  : number of parallelogram polyominoes with 27 cells. ^[36]
• 1,934,917,632 = 72 ⁵
• 1,977,326,743 = 7 ¹¹
• 1,979,339,339  : largest right-truncatable prime in decimal, if 1 is considered to be a prime ^[37]
• 1,996,813,914  : Leyland number

2,000,000,000 to 2,999,999,999 [ edit ]

• 2,023,443,032 = number of trees with 28 unlabeled nodes ^[38]
• 2,038,074,743 = 100,000,000th prime number
• 2,062,142,876 = number of centered hydrocarbons with 30 carbon atoms ^[39]
• 2,073,071,593 = 73 ⁵
• 2,082,061,899 = multiplicative inverse of 40,014 modulo 2,147,483,563
• 2,147,483,563 = prime number, used as the modulus for the combined linear congruential generator
• 2,147,483,647 = 8th Mersenne prime , 3rd double Mersenne prime , and the largest signed 32- bit integer.
• 2,147,483,648 = 2 ³¹
• 2,147,484,609 = Leyland number
• 2,176,782,336 = 46656 ² = 1296 ³ = 216 ⁴ = 36 ⁶ = 6 ¹²
• 2,179,768,320 = Leyland number
• 2,214,502,422 = 6th primary pseudoperfect number . ^[40]
• 2,219,006,624 = 74 ⁵
• 2,222,222,222 = repdigit
• 2,276,423,485 = number of ways to partition {1,2,...,12} and then partition each cell (block) into subcells. ^[41]
• 2,333,606,816 = ${\displaystyle \sum _{d|34}{\binom {34}{d}}}$^[42]
• 2,357,947,691 = 1331 ³ = 11 ⁹
• 2,373,046,875 = 75 ⁵
• 2,494,357,888 = 22 ⁷
• 2,521,008,887 = 4th Mills' prime
• 2,535,525,376 = 76 ⁵
• 2,562,890,625 = 50625 ² = 225 ⁴ = 15 ⁸
• 2,565,726,409 = 50653 ² = 1369 ³ = 37 ⁶
• 2,573,571,875 = 5 ⁵ ×7 ^{7 [43]}
• 2,695,730,992 = number of (unordered, unlabeled) rooted trimmed trees with 29 nodes ^[13]
• 2,706,784,157 = 77 ⁵
• 2,873,403,980 = number of uniform rooted trees with 27 nodes ^[44]
• 2,834,510,744 = number of nonequivalent dissections of an 22-gon into 19 polygons by nonintersecting diagonals up to rotation ^[45]
• 2,887,174,368 = 78 ⁵
• 2,971,215,073 = 11th Fibonacci prime (47th Fibonacci number) and a Markov prime.

3,000,000,000 to 3,999,999,999 [ edit ]

• 3,010,936,384 = 54872 ² = 1444 ³ = 38 ⁶
• 3,077,056,399 = 79 ⁵
• 3,166,815,962 = 26th Pell number. ^[18]
• 3,192,727,797 = 24th Motzkin number. ^[15]
• 3,276,800,000 = 80 ⁵
• 3,323,236,238 = 31st Wedderburn?Etherington number. ^[21]
• 3,333,333,333 = repdigit
• 3,404,825,447 = 23 ⁷
• 3,405,691,582 = hexadecimal CAFEBABE ; used as a placeholder in programming.
• 3,405,697,037 = hexadecimal CAFED00D ; used as a placeholder in programming.
• 3,461,824,644 = number of secondary structures of RNA molecules with 28 nucleotides ^[20]
• 3,486,784,401 = 59049 ² = 243 ⁴ = 81 ⁵ = 9 ¹⁰ = 3 ²⁰
• 3,486,792,401 = Leyland number
• 3,492,564,909 = 1 ² +3 ⁴ +5 ⁶ +7 ⁸ +9 ^{10 [46]}
• 3,518,743,761 = 59319 ² = 1521 ³ = 39 ⁶
• 3,520,581,954 = number of series-reduced planted trees with 37 nodes ^[29]
• 3,524,337,980 = number of 39-bead necklaces (turning over is allowed) where complements are equivalent ^[34]
• 3,616,828,364 = number of 38-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed ^[35]
• 3,663,002,302 = number of prime numbers having eleven digits ^[47]
• 3,665,821,697 = 437 × 2 ²³ + 1; smallest Proth prime for k = 437
• 3,697,909,056 = number of primitive polynomials of degree 37 over GF(2) ^[48]
• 3,707,398,432 = 82 ⁵
• 3,715,891,200 = double factorial of 20
• 3,735,928,559 = hexadecimal DEADBEEF ; used as a placeholder in programming.
• 3,735,929,054 = hexadecimal DEADC0DE ; used as a placeholder in programming.
• 3,816,547,290 = 10 digit polydivisble number
• 3,939,040,643 = 83 ⁵

4,000,000,000 to 4,999,999,999 [ edit ]

• 4,006,387,712 = number of independent vertex sets and vertex covers in the 22- sunlet graph ^[26]
• 4,021,227,877 = least k >= 1 such that the remainder when 6 ^k is divided by k is 5 ^[49]
• 4,096,000,000 = 64000 ² = 1600 ³ = 40 ⁶
• 4,118,054,813 = number of primes under 10 ¹¹
• 4,182,119,424 = 84 ⁵
• 4,294,967,291 = Largest prime 32-bit unsigned integer.
• 4,294,967,295 = Maximum 32-bit unsigned integer (FFFFFFFF ₁₆ ), perfect totient number , product of all known Fermat primes ${\displaystyle F_{0}}$ through ${\displaystyle F_{4}}$.
• 4,294,967,296 = 65536 ² = 256 ⁴ = 16 ⁸ = 4 ¹⁶ = 2 ³²
• 4,294,967,297 = ${\displaystyle F_{5}}$, the first composite Fermat number .
• 4,294,968,320 = Leyland number
• 4,295,032,832 = Leyland number
• 4,437,053,125 = 85 ⁵
• 4,444,444,444 = repdigit
• 4,467,033,943 ? number of parallelogram polyominoes with 28 cells. ^[36]
• 4,486,784,401 = Leyland number
• 4,500,000,000 = Approximate age of the Earth in years
• 4,586,471,424 = 24 ⁷
• 4,700,063,497 = smallest number n > 1 such that 2 ⁿ is congruent to 3 (mod n ) ^[50]
• 4,704,270,176 = 86 ⁵
• 4,750,104,241 = 68921 ² = 1681 ³ = 41 ⁶
• 4,807,526,976 = 48th Fibonacci number.
• 4,984,209,207 = 87 ⁵

5,000,000,000 to 5,999,999,999 [ edit ]

• 5,159,780,352 = 1728 ³ = 12 ⁹ = 1,000,000,000 ₁₂ AKA a great-great-great-gross (1,000,000 ₁₂ great-grosses or 1000 ₁₂ great-great-grosses)
• 5,277,319,168 = 88 ⁵
• 5,345,531,935 = number of centered hydrocarbons with 31 carbon atoms ^[39]
• 5,354,228,880 = superior highly composite number, smallest number divisible by the numbers from 1 to 24 (there is no smaller number divisible by the numbers from 1 to 23 since any number divisible by 3 and 8 must also be divisible by 24)
• 5,391,411,025 = smallest odd abundant number not divisible by 3 ^[51]
• 5,469,566,585 = number of trees with 29 unlabeled nodes ^[52]
• 5,489,031,744 = 74088 ² = 1764 ³ = 42 ⁶
• 5,555,555,555 = repdigit
• 5,584,059,449 = 89 ⁵
• 5,702,046,382 = number of signed trees with 18 nodes ^[17]
• 5,726,623,061 = 101010101010101010101010101010101 in binary
• 5,784,634,181 = 13th alternating factorial . ^[53]
• 5,904,900,000 = 90 ⁵

6,000,000,000 to 6,999,999,999 [ edit ]

• 6,103,515,625 = 78125 ² = 25 ⁷ = 5 ¹⁴
• 6,104,053,449 = Leyland number
• 6,210,001,000 = only self-descriptive number in base 10.
• 6,227,020,800 = 13 !
• 6,240,321,451 = 91 ⁵
• 6,321,363,049 = 79507 ² = 1849 ³ = 43 ⁶
• 6,469,693,230 = tenth primorial
• 6,564,120,420 = ${\displaystyle C(20)={\frac {\binom {2\times 20}{20}}{20+1}}={\frac {(2\times 20)!}{20!\times (20+1)!}}}$, where ${\displaystyle C(n)}$ is the ${\displaystyle n}$th Catalan number . ^[31]
• 6,590,815,232 = 92 ⁵
• 6,659,914,175 = number of (unordered, unlabeled) rooted trimmed trees with 30 nodes ^[13]
• 6,666,666,666 = repdigit
• 6,956,883,693 = 93 ⁵
• 6,975,757,441 = 83521 ² = 289 ⁴ = 17 ⁸
• 6,983,776,800 = 15th colossally abundant number , ^[54] 15th superior highly composite number ^[55]

7,000,000,000 to 7,999,999,999 [ edit ]

• 7,007,009,909 = smallest number in base 10 to take 100 iterations to form a palindrome ^[56]
• 7,048,151,672 = number of 39-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed ^[35]
• 7,256,313,856 = 85184 ² = 1936 ³ = 44 ⁶
• 7,339,040,224 = 94 ⁵
• 7,371,308,068 = number of partitions of 252 into divisors of 252 ^[33]
• 7,391,026,522 = number of planar partitions of 49 ^[57]
• 7,464,000,000 = Estimated population of the Earth in 2016 according to Worldometers ^[58]
• 7,544,428,973 = number of uniform rooted trees with 28 nodes ^[44]
• 7,645,370,045 = 27th Pell number. ^[18]
• 7,737,809,375 = 95 ⁵
• 7,777,777,777 = repdigit
• 7,778,742,049 = 49th Fibonacci number.
• 7,795,000,000 = Estimated population of the Earth in 2020 according to Worldometers ^[58]
• 7,862,958,391 = 32nd Wedderburn?Etherington number. ^[21]

8,000,000,000 to 8,999,999,999 [ edit ]

• 8,031,810,176 = 26 ⁷
• 8,153,726,976 = 96 ⁵
• 8,212,890,625 = 1- automorphic number ^[32]
• 8,303,765,625 = 91125 ² = 2025 ³ = 45 ⁶
• 8,549,176,320 = pandigital number with the digits arranged in alphabetical order by English name
• 8,587,340,257 = 97 ⁵
• 8,589,866,963 = number of subsets of {1,2,...,33} with relatively prime elements ^[59]
• 8,589,869,056 = 6th perfect number . ^[60]
• 8,589,934,592 = 2048 ³ = 8 ¹¹ = 2 ³³
• 8,589,935,681 = Leyland prime
• 8,622,571,758 = number of secondary structures of RNA molecules with 29 nucleotides ^[20]
• 8,804,293,473 = Leyland number
• 8,888,888,888 = repdigit

9,000,000,000 to 9,999,999,999 [ edit ]

• 9,039,207,968 = 98 ⁵
• 9,043,402,501 = 25th Motzkin number . ^[15]
• 9,393,931,000 = 2110 ³
• 9,474,296,896 = 97336 ² = 2116 ³ = 46 ⁶
• 9,509,900,499 = 99 ⁵
• 9,814,072,356 = 99066 ² , the largest pandigital square , largest pandigital pure power.
• 9,876,543,210 = largest number without repeated digits in base 10.
• 9,999,800,001 = 99999 ² , the largest ten-digit square.
• 9,999,999,967 = greatest prime number with 10 digits ^[61]
• 9,999,999,999 = largest 10-digit number, repdigit

References [ edit ]