10,000,000,000

10,000,000,000 (ten billion) is the natural number following 9,999,999,999 and preceding 10,000,000,001.

In scientific notation, it is written as 10¹⁰. It can be also written in tetration notation as ²10.

10,000,000,000 is also the fifth power of 100 and also the square of 100,000.

Selected 11-digit numbers (10,000,000,000–99,999,999,999)

10,000,000,000 to 19,999,999,999

• 10,000,000,019 = smallest 11-digit prime number.
• 10,000,020,331 = smallest triangular number with 11 digits and the 141,421st triangular number
• 10,123,457,689 = smallest pandigital prime in base 10.
• 10,294,287,500 = 2²ÃƒÂ—5⁵×7⁷
• 10,314,998,977 = number of parallelogram polyominoes with 29 cells.
• 10,460,353,203 = 2187³ = 27⁷ = 3²¹
• 10,460,362,464 = Leyland number using 3 & 21 (3²¹ + 21³)
• 10,480,142,147 = 16th Bell number.
• 10,604,499,373 = 2197³ = 13⁹
• 10,779,215,329 = 103823² = 2209³ = 47⁶
• 11,019,960,576 = 104976² = 324⁴ = 18⁸
• 11,111,111,111 = repunit
• 11,123,060,678 = number of free 21-ominoes
• 11,874,568,703 = number of partitions of 378 into divisors of 378
• 12,230,590,464 = 110592² = 2304³ = 48⁶
• 12,345,654,321 = 111111², palindromic square
• 12,586,269,025 = 50th Fibonacci number.
• 13,060,694,016 = 6¹³
• 13,409,202,676 = number of 41-bead necklaces (turning over is allowed) where complements are equivalent
• 13,492,928,512 = 28⁷
• 13,743,921,632 = number of 40-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
• 13,749,310,575 = double factorial of 21
• 13,800,000,000 = approximate age of the universe in years
• 13,841,287,201 = 117649² = 2401³ = 343⁴ = 49⁶ = 7¹²
• 13,893,615,154 = number of centered hydrocarbons with 32 carbon atoms
• 13,967,553,600 = superior highly composite number, superabundant number
• 14,182,439,040 = smallest 5-perfect number
• 14,499,777,100 – initial number of fifth century xx00 to xx99 containing exactly seventeen prime numbers (14,499,777,100+n, for n = 7, 9, 13, 19, 21, 33, 37, 43, 51, 61, 63, 67, 69, 79, 81, 91, 97)
• 14,830,871,802 = number of trees with 30 unlabeled nodes
• 15,552,771,085 = number of series-reduced planted trees with 39 nodes
• 15,625,000,000 = 125000² = 2500³ = 50⁶
• 16,481,146,479 = number of (unordered, unlabeled) rooted trimmed trees with 31 nodes
• 16,983,563,041 = 130321² = 361⁴ = 19⁸
• 17,171,999,198 = number of partitions of 390 into divisors of 390
• 17,179,869,184 = 131072² = 4¹⁷ = 2³⁴
• 17,179,870,340 = Leyland number using 2 & 34 (2³⁴ + 34²)
• 17,179,952,705 = Leyland number using 4 & 17 (4¹⁷ + 17⁴)
• 17,249,876,309 = 29⁷
• 17,387,594,880 = position of first occurrence of the string 0123456789 in the decimal expansion of π
• 17,589,157,530 = number of partitions of 288 into divisors of 288
• 17,596,287,801 = 132651² = 2601³ = 51⁶
• 18,212,890,625 = 1-automorphic number
• 18,348,340,127 = logarithmic number.
• 18,457,556,052 = 28th Pell number.
• 18,632,325,319 = 33rd Wedderburn–Etherington number.
• 19,577,194,573 = Markov prime
• 19,606,122,418 = number of partitions of 384 into divisors of 384
• 19,770,609,664 = 140608² = 2704³ = 52⁶
• 19,847,520,789 = number of uniform rooted trees with 29 nodes

20,000,000,000 to 29,999,999,999

• 20,365,011,074 = 51st Fibonacci number.
• 20,661,046,784 = 2744³ = 14⁹
• 21,511,212,261 = number of secondary structures of RNA molecules with 30 nucleotides
• 21,870,000,000 = 30⁷
• 22,164,361,129 = 157464² = 2809³ = 53⁶
• 22,222,222,222 = repdigit
• 22,801,763,489 = 1,000,000,000th prime number
• 23,818,760,154 = number of parallelogram polyominoes with 30 cells.
• 24,466,267,020 = Catalan number
• 24,794,911,296 = 157464² = 2916³ = 54⁶
• 25,209,506,681 = Markov prime
• 25,600,000,000 = 160000² = 400⁴ = 20⁸
• 25,669,818,476 = 26th Motzkin number.
• 25,937,424,601 = 161051² = 121⁵ = 11¹⁰
• 26,179,922,024 = number of 42-bead necklaces (turning over is allowed) where complements are equivalent
• 26,771,144,400 = smallest number divisible by the numbers from 1 to 26 (there is no smaller number divisible by the numbers from 1 to 25 since any number divisible by 2 and 13 must be divisible by 26)
• 26,817,356,776 = number of 41-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
• 26,990,077,184 = number of partitions of 240 into divisors of 240
• 27,512,614,111 = 31⁷
• 27,680,640,625 = 166375² = 3025³ = 55⁶
• 28,088,787,314 = number of signed trees with 19 nodes
• 28,843,094,837 = number of partitions of 300 into divisors of 300

30,000,000,000 to 39,999,999,999

• 30,517,578,125 = 3125³ = 125⁵ = 5¹⁵
• 30,840,979,456 = 175616² = 3136³ = 56⁶
• 31,381,059,609 = 177147² = 9¹¹ = 3²²
• 31,381,070,257 = Leyland number using 3 & 22 (3²² + 22³)
• 32,742,002,341 = number of series-reduced planted trees with 40 nodes
• 32,951,280,099 = 52nd Fibonacci number.
• 33,333,333,333 = repdigit
• 33,489,857,205 = number of prime numbers having twelve digits
• 33,823,827,452 = number of partially ordered set with 13 unlabeled elements
• 34,296,447,249 = 185193² = 3249³ = 57⁶
• 34,359,738,368 = 128⁵ = 32⁷ = 2³⁵
• 34,359,739,593 = Leyland number using 2 & 35 (2³⁵ + 35²)
• 36,201,693,122 = number of centered hydrocarbons with 33 carbon atoms
• 37,607,912,018 = number of primes under 10¹²
• 37,822,859,361 = 194481² = 441⁴ = 21⁸
• 38,068,692,544 = 195112² = 3364³ = 58⁶
• 38,443,359,375 = 3375³ = 15⁹

40,000,000,000 to 49,999,999,999

• 40,330,829,030 = number of trees with 31 unlabeled nodes
• 40,849,449,618 = number of (unordered, unlabeled) rooted trimmed trees with 32 nodes
• 42,180,533,641 = 205379² = 3481³ = 59⁶
• 42,618,442,977 = 33⁷
• 43,191,857,688 = number of free 22-ominoes
• 44,208,781,349 = Markov prime
• 44,214,569,100 = 34th Wedderburn–Etherington number.
• 44,444,444,444 = repdigit
• 44,560,482,149 = Markov prime, 29th Pell number
• 46,656,000,000 = 216000² = 3600³ = 60⁶

50,000,000,000 to 59,999,999,999

• 50,006,393,431 = smallest prime number in base 10 whose expansions is bases 2 to 9 are all valid decimal expansions of (other) primes
• 51,001,180,160 = largest known (and conjectured to be the largest) triperfect number
• 51,141,124,287 = number of 43-bead necklaces (turning over is allowed) where complements are equivalent
• 51,283,502,951 = number k such that the sum of the squares of the first k primes is divisible by k.
• 51,520,374,361 = 226981² = 3721³ = 61⁶
• 52,308,750,878 = number of uniform rooted trees with 30 nodes
• 52,357,746,896 = number of 42-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
• 52,523,350,144 = 34⁷
• 53,316,291,173 = 53rd Fibonacci number.
• 53,745,962,199 = number of secondary structures of RNA molecules with 31 nucleotides
• 54,875,873,536 = 234256² = 484⁴ = 22⁸
• 55,000,815,222 = number of parallelogram polyominoes with 31 cells.
• 55,420,693,056 = 8th square triangular number.
• 55,555,555,555 = repdigit
• 56,800,235,584 = 238328² = 3844³ = 62⁶

60,000,000,000 to 69,999,999,999

• 61,917,364,224 = 248832² = 144⁵ = 12¹⁰
• 62,523,502,209 = 250047² = 3969³ = 63⁶
• 64,339,296,875 = 35⁷
• 65,118,683,800 – initial number of sixth century xx00 to xx99 containing exactly seventeen prime numbers (65,118,683,800+n, for n = 3, 7, 9, 13, 37, 43, 49, 57, 63, 67, 79, 81, 87, 91, 93, 97, 99)
• 66,666,666,666 = repdigit
• 68,719,476,736 = 262144² = 4096³ = 512⁴ = 64⁶ = 16⁹ = 8¹² = 4¹⁸ = 2³⁶
• 68,719,478,032 = Leyland number using 2 & 36 (2³⁶ + 36²)
• 68,719,581,712 = Leyland number using 4 & 18 (4¹⁸ + 18⁴)
• 68,998,193,212 = number of series-reduced planted trees with 41 nodes
• 69,486,440,625 = 3³ÃƒÂ—5⁵×7⁷

70,000,000,000 to 79,999,999,999

• 73,007,772,802 = 27th Motzkin number.
• 75,418,890,625 = 274625² = 4225³ = 65⁶
• 77,777,777,777 = repdigit
• 78,310,985,281 = 279841² = 529⁴ = 23⁸
• 78,364,164,096 = 279936² = 36⁷ = 6¹⁴

80,000,000,000 to 89,999,999,999

• 80,313,433,200 = highly composite number, smallest number divisible by the numbers from 1 to 28
• 81,393,657,019 = 14th alternating factorial.
• 81,749,606,400 = double factorial of 22
• 81,787,109,376 = 1-automorphic number
• 82,653,950,016 = 287496² = 4356³ = 66⁶
• 82,864,869,804 = 17th Bell number.
• 86,267,571,272 = 54th Fibonacci number.
• 87,178,291,199 = factorial prime
• 87,178,291,200 = 14!
• 88,888,888,888 = repdigit

90,000,000,000 to 99,999,999,999

• 90,458,382,169 = 300763² = 4489³ = 67⁶
• 91,482,563,640 = Catalan number
• 94,143,178,827 = 3²³
• 94,143,190,994 = Leyland number using 3 & 23 (3²³ + 23³)
• 94,550,040,702 = number of centered hydrocarbons with 34 carbon atoms
• 94,931,877,133 = 37⁷
• 96,889,010,407 = 7¹³
• 98,867,482,624 = 314432² = 4624³ = 68⁶
• 99,957,747,388 = number of 44-bead necklaces (turning over is allowed) where complements are equivalent
• 99,999,999,977 = largest 11-digit prime number
• 99,999,999,999 = largest 11-digit number, repdigit

References