10,000,000,000,000

10000000000000
List of numbers Integers ← 100 101 102 103 104 105 106 107 108 109 1010 1011 1012 1013
Cardinal	Ten trillion (short scale) Ten billion (long scale) Ten thousand billion Ten million million
Ordinal	10000000000000th (ten trillionth, short scale)
Factorization	213 513
Divisors	196 total
Greek numeral	${\displaystyle {\stackrel {\iota }{\mathrm {M} }}}$
Roman numeral	N/A, n/a
Binary	100100011000010011100111001010100000000000002
Ternary	10221012222020120200202111013
Senary	331335341450241446
Octal	2214116345200008
Duodecimal	115609792505412
Hexadecimal	9184E72A00016
Arabic	١٠٠٠٠٠٠٠٠٠٠٠٠٠
Bengali	১০০০০০০০০০০০০০
Devanagari	१०००००००००००००
Khmer	១០០០០០០០០០០០០០
Tamil	க௦௦௦௦௦௦௦௦௦௦௦௦௦
Thai	๑๐๐๐๐๐๐๐๐๐๐๐๐๐ (สิบล้านล้าน)

• Mathematics portal

10,000,000,000,000 (ten trillion on the short scale; ten billion on the long scale; ten thousand billion; ten million million) is the natural number following 9,999,999,999,999 and preceding 10,000,000,000,001. It is known as 10000 arab, 100 kharab, 10 lakh crore, or 1 nil in the Indian numbering system.

Properties and usage

10,000,000,000,000 has the following properties and usage:

In mathematics

• It is even, composite, abundant, polite, practical, frugal, and regular. It is also a perfect power and a harshad number.
• It is written in scientific notation as 1 × 10¹³ or 10¹³ (1E+13 or simply 1E13 in E notation).
• It has a total of 196 divisors (182 even, 14 odd). All divisors are displayed below:

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 512, 625, 640, 800, 1000, 1024, 1250, 1280, 1600, 2000, 2048, 2500, 2560, 3125, 3200, 4000, 4096, 5000, 5120, 6250, 6400, 8000, 8192, 10000, 10240, 12500, 12800, 15625, 16000, 20000, 20480, 25000, 25600, 31250, 32000, 40000, 40960, 50000, 51200, 62500, 64000, 78125, 80000, 100000, 102400, 125000, 128000, 156250, 160000, 200000, 204800, 250000, 256000, 312500, 320000, 390625, 400000, 500000, 512000, 625000, 640000, 781250, 800000, 1000000, 1024000, 1250000, 1280000, 1562500, 1600000, 1953125, 2000000, 2500000, 2560000, 3125000, 3200000, 3906250, 4000000, 5000000, 5120000, 6250000, 6400000, 7812500, 8000000, 9765625, 10000000, 12500000, 12800000, 15625000, 16000000, 19531250, 20000000, 25000000, 25600000, 31250000, 32000000, 39062500, 40000000, 48828125, 50000000, 62500000, 64000000, 78125000, 80000000, 97656250, 100000000, 125000000, 128000000, 156250000, 160000000, 195312500, 200000000, 244140625, 250000000, 312500000, 320000000, 390625000, 400000000, 488281250, 500000000, 625000000, 640000000, 781250000, 800000000, 976562500, 1000000000, 1220703125, 1250000000, 1562500000, 1600000000, 1953125000, 2000000000, 2441406250, 2500000000, 3125000000, 3200000000, 3906250000, 4000000000, 4882812500, 5000000000, 6250000000, 7812500000, 8000000000, 9765625000, 10000000000, 12500000000, 15625000000, 16000000000, 19531250000, 20000000000, 25000000000, 31250000000, 39062500000, 40000000000, 50000000000, 62500000000, 78125000000, 80000000000, 100000000000, 125000000000, 156250000000, 200000000000, 250000000000, 312500000000, 400000000000, 500000000000, 625000000000, 1000000000000, 1250000000000, 2000000000000, 2500000000000, 5000000000000, 10000000000000

• The sum of all divisors of 10¹³, including itself, is 24,998,474,116,998.
• It has an Euler totient of 4,000,000,000,000, and an aliquot sum of 14,998,474,116,998.
• There are a total of 346,065,536,839 positive primes less than 10¹³. ^[1]
• Below is the list of basic calculations of 10,000,000,000,000:

	Multiplication ${\displaystyle \scriptstyle {{\text{10,000,000,000,000 }}\times {\text{ x}}}}$	Division ${\displaystyle \scriptstyle {{\text{10,000,000,000,000 }}\div {\text{ x}}}}$	Exponentiation ${\displaystyle \scriptstyle {{\text{10,000,000,000,000}}^{\text{x}}}}$	nth root ${\displaystyle \scriptstyle {\sqrt[{\text{x}}]{\text{10,000,000,000,000}}}}$
2	20,000,000,000,000	5,000,000,000,000	1026	≈3,162,277.6602
3	30,000,000,000,000	3,333,333,333,333.3	1039	≈21,544.3469
4	40,000,000,000,000	2,500,000,000,000	1052	≈1,778.2794
5	50,000,000,000,000	2,000,000,000,000	1065	≈398.1072
6	60,000,000,000,000	1,666,666,666,666.6	1078	≈146.7799
7	70,000,000,000,000	1,428,571,428,571.428571	1091	≈71.9686
8	80,000,000,000,000	1,250,000,000,000	10104	≈42.1697
9	90,000,000,000,000	1,111,111,111,111.1	10117	≈27.8256
10	100,000,000,000,000	1,000,000,000,000	10130	≈19.9526

In economy

10 trillion Zimbabwean Dollars (2008)

• 10,000,000,000,000 was used in Banknotes of Zimbabwe: 2008 banknote series circulated due to the intense hyperinflation in Zimbabwe during the 2008-2009 period.

Selected 14-digit numbers (10,000,000,000,001–99,999,999,999,999)

10,000,000,000,001 to 19,999,999,999,999

• 10,000,000,000,037 : smallest 14-digit prime number ^[2]
• 10,000,002,437,316 : smallest 14-digit triangular number, 4,472,136th triangular number ^{[3] [4]}
• 10,153,507,819,457 : 177th Markov number ^[5]
• 10,445,360,463,871 : 38th Woodall number ^[6]
• 10,610,209,857,723 : 64th Fibonacci number
• 11,038,251,159,312 : number of 51-bead necklaces (turning over is allowed) where complements are equivalent ^[7]
• 11,111,111,111,111 : repunit
• 11,258,999,739,560 : number of 50-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed ^[8]
• 13,046,940,568,625 : number of series-reduced planted trees with 48 nodes ^[9]
• 13,432,403,613,621 : number of secondary structures of RNA molecules with 37 nucleotides ^[10]
• 13,933,569,346,707 : 32nd Motzkin number ^[11]
• 13,974,537,376,800 : 75th superabundant number ^[12]
• 14,173,019,355,266 : 178th Markov number
• 14,235,090,298,445 : 179th Markov number
• 14,622,039,889,385 : 180th Markov number
• 15,988,960,048,321 : 181st Markov number
• 17,167,680,177,565 : 65th Fibonacci number, 182nd Markov number
• 18,367,353,072,152 : 26th Catalan number ^[13]
• 18,632,716,502,400 : 76th superabundant number
• 18,696,424,380,481 : 183rd Markov number
• 19,374,186,136,140 : 41st Wedderburn-Etherington number ^[14]
• 19,696,509,177,019 : 16th alternating factorial ^[15]

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

• 20,922,789,888,000 = 16!
• 20,922,789,888,136 : 16th factoriangular number ^[16]
• 21,246,581,423,810 : 184th Markov number
• 21,300,003,689,580 : 36th Pell number ^[17]
• 21,440,476,741,631 : 39th Woodall number
• 21,651,955,485,304 : number of 52-bead necklaces (turning over is allowed) where complements are equivalent
• 22,076,468,764,192 : number of 51-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
• 22,222,222,222,222 : repdigit
• 22,592,065,572,301 : 185th Markov number
• 24,351,056,611,103 : number of (unordered, unlabeled) rooted trimmed trees with 39 nodes ^[18]
• 26,500,373,448,281 : 186th Markov number
• 27,673,060,569,305 : number of series-reduced planted trees with 49 nodes
• 27,777,890,035,288 : 66th Fibonacci number
• 27,949,074,753,600 : 77th superabundant number

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

• 30,901,824,368,813 : 187th Markov number
• 31,801,503,090,601 : 188th Markov number
• 32,607,253,879,200 : 78th superabundant number
• 33,333,333,333,333 : repdigit
• 33,843,022,209,066 : number of secondary structures of RNA molecules with 38 nucleotides
• 36,332,699,889,481 : 189th Markov number
• 38,596,477,083,550 : number of square (0,1)-matrices without zero rows and with exactly 12 entries equal to 1 ^[19]

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

• 40,002,464,776,083 : 33rd Motzkin number
• 40,081,787,109,376 : 25th automorphic number ^[20]
• 42,486,822,491,890 : number of 53-bead necklaces (turning over is allowed) where complements are equivalent
• 43,303,843,861,744 : number of 52-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
• 43,520,999,798,747 : 50th repfigit ^[21]
• 43,980,465,111,039 : 40th Woodall number
• 44,444,444,444,444 : repdigit
• 44,945,570,212,853 : 67th Fibonacci number, 190th Markov number
• 46,127,828,641,049 : 191st Markov number
• 46,384,328,517,112 : 42nd Wedderburn-Etherington number
• 47,574,827,600,981 : 21st Schröder–Hipparchus number ^[22]
• 48,795,987,025,021 : 192nd Markov number

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

• 51,011,754,393,600 = 26!!
• 51,422,757,785,981 : 37th Pell number, 193rd Markov number
• 55,555,555,555,555 : repdigit
• 55,898,149,507,200 : 79th superabundant number
• 57,850,602,535,042 : 194th Markov number
• 58,734,306,828,191 : number of series-reduced planted trees with 50 nodes
• 59,918,212,890,625 : 26th automorphic number

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

• 60,941,642,779,903 : number of (unordered, unlabeled) rooted trimmed trees with 40 nodes
• 65,082,055,350,517 : 195th Markov number
• 65,214,507,758,400 : 80th superabundant number, 19th superior highly composite number ^[23]
• 66,666,666,666,666 : repdigit
• 67,082,333,460,610 : 196th Markov number
• 68,275,077,901,156 : number of posets with 15 unlabeled elements ^[24]
• 69,533,550,916,004 : 27th Catalan number

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

• 72,723,460,248,141 : 68th Fibonacci number
• 73,224,462,646,361 : 197th Markov number
• 74,596,893,730,427 : 51th repfigit
• 77,777,777,777,777 : repdigit

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

• 80,902,026,460,669 : 198th Markov number
• 82,561,235,448,866 : 199th Markov number
• 83,400,061,453,514 : number of 54-bead necklaces (turning over is allowed) where complements are equivalent
• 84,973,577,874,916 : number of 53-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
• 85,349,327,734,485 : number of secondary structures of RNA molecules with 39 nucleotides
• 88,888,888,888,888 : repdigit

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

• 90,159,953,477,631 : 41st Woodall number
• 93,139,301,545,921 : 200th Markov number
• 97,295,849,958,669 : 52nd repfigit
• 97,568,760,404,309 : 201st Markov number
• 97,821,761,637,600 : 81st superabundant number
• 99,999,999,999,973 : largest 14-digit prime number ^[25]
• 99,999,999,999,999 : largest 14-digit number, repdigit

See also

• Long and short scales
• Names of large numbers
• Orders of magnitude (numbers)
• Power of 10

References

1. Sloane, N. J. A. (ed.). "SequenceA006880(Number of primes less than 10^n)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
2. Sloane, N. J. A. (ed.). "SequenceA003617(Smallest n-digit prime)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
3. Sloane, N. J. A. (ed.). "SequenceA068093(Smallest n-digit triangular number)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
4. Sloane, N. J. A. (ed.). "SequenceA068092(Index of smallest triangular number with n digits)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
5. Sloane, N. J. A. (ed.). "SequenceA002559(Markoff (or Markov) numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
6. Sloane, N. J. A. (ed.). "SequenceA003261(Woodall (or Riesel) numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
7. Sloane, N. J. A. (ed.). "SequenceA000011(Number of n-bead necklaces (turning over is allowed) where complements are equivalent)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
8. Sloane, N. J. A. (ed.). "SequenceA000013(Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
9. Sloane, N. J. A. (ed.). "SequenceA001678(Number of series-reduced planted trees with n nodes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
10. Sloane, N. J. A. (ed.). "SequenceA004148(Generalized Catalan numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
11. Sloane, N. J. A. (ed.). "SequenceA001006(Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
12. Sloane, N. J. A. (ed.). "SequenceA004394(Superabundant [or super-abundant] numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
13. Sloane, N. J. A. (ed.). "SequenceA000108(Catalan numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
14. Sloane, N. J. A. (ed.). "SequenceA001190(Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
15. Sloane, N. J. A. (ed.). "SequenceA005165(Alternating factorials)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
16. Sloane, N. J. A. (ed.). "SequenceA101292". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
17. Sloane, N. J. A. (ed.). "SequenceA000129(Pell numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
18. Sloane, N. J. A. (ed.). "SequenceA002955(Number of (unordered, unlabeled) rooted trimmed trees with n nodes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
19. Sloane, N. J. A. (ed.). "SequenceA122400(Number of square (0,1)-matrices without zero rows and with exactly n entries equal to 1)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
20. Sloane, N. J. A. (ed.). "SequenceA003226(Automorphic numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
21. Sloane, N. J. A. (ed.). "SequenceA007629(Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
22. Sloane, N. J. A. (ed.). "SequenceA001003(Schroeder's second problem (generalized parentheses))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
23. Sloane, N. J. A. (ed.). "SequenceA002201(Superior highly composite numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
24. Sloane, N. J. A. (ed.). "SequenceA000112(Number of partially ordered sets ("posets") with n unlabeled elements)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
25. Sloane, N. J. A. (ed.). "SequenceA003618(Largest n-digit prime)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.