138637381836800
138,637,381,836,800 is an even composite number composed of six prime numbers multiplied together.
138637381836800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 138637381836800:
213 × 52 × 74 × 11 × 192 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 19 × 19 × 71)See below for interesting mathematical facts about the number 138637381836800 from the Numbermatics database.
Names of 138637381836800
- Cardinal: 138637381836800 can be written as One hundred thirty-eight trillion, six hundred thirty-seven billion, three hundred eighty-one million, eight hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.386373818368 × 1014
Factors of 138637381836800
Divisors of 138637381836800
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 32 35 38 40 44 49 50 55 56 64 70 71 76 77 80 88 95 98 100 110 112 128 133 140 142 152 154 160 175 176 190 196 200 209 220 224 245 256 266 275 280 284 304 308 320 343 350 352 355 361 380 385 392 400 418 440 448 475 490 497 512 532 539 550 560 568 608 616 640 665 686 700 704 710 722 760 770 781 784 800 836 880 896 931 950 980 994 1024 1045 1064 1078 1100 1120 1136 1216 1225 1232 1280 1330 1349 1372 1400 1408 1420 1444 1463 1520 1540 1562 1568 1600 1672 1715 1760 1775 1792 1805 1862 1900 1925 1960 1988 2048 2090 2128 2156 2200 2240 2272 2401 2432 2450 2464 2485 2527 2560 2660 2695 2698 2744 2800 2816 2840 2888 2926 3040 3080 3124 3136 3200 3325 3344 3430 3479 3520 3550 3584 3610 3724 3773 3800 3850 3905 3920 3971 3976 4096 4180 4256 4312 4400 4480 4544 4655 4802 4864 4900 4928 4970 5054 5120 5225 5320 5390 5396 5467 5488 5600 5632 5680 5776 5852 6080 6160 6248 6272 6400 6517 6650 6688 6745 6860 6958 7040 7100 7168 7220 7315 7448 7546 7600 7700 7810 7840 7942 7952 8192 8360 8512 8575 8624 8800 8960 9025 9088 9310 9443 9604 9728 9800 9856 9940 10108 10240 10241 10450 10640 10780 10792 10934 10976 11200 11264 11360 11552 11704 12005 12160 12320 12425 12496 12544 12635 12800 13034 13300 13376 13475 13490 13720 13916 14080 14200 14336 14440 14630 14839 14896 15092 15200 15400 15620 15680 15884 15904 16720 17024 17150 17248 17395 17600 17689 17920 18050 18176 18620 18865 18886 19208 19456 19525 19600 19712 19855 19880 20216 20480 20482 20900 21280 21560 21584 21868 21952 22400 22528 22720 23104 23275 23408 24010 24320 24353 24640 24850 24992 25088 25270 25600 25631 26068 26411 26600 26752 26950 26980 27335 27440 27797 27832 28160 28400 28672 28880 29260 29678 29792 30184 30400 30800 31240 31360 31768 31808 32585 33440 33725 34048 34300 34496 34790 35200 35378 35840 36100 36352 36575 37240 37730 37772 38269 38416 38912 39050 39200 39424 39710 39760 40432 40960 40964 41800 42560 43120 43168 43736 43904 44800 45056 45440 45619 46208 46550 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94762393600 96009267200 97631959040 98464049600 99026701312 101047654400 102770483200 104238632960 108310454560 112530342400 113173372928 114011004800 122039948800 123783376640 126033983488 128606105600 130298291200 132667351040 135388068200 139474227200 141466716160 145934086144 148912332800 154729220800 157542479360 165834188800 173296727296 176833395200 177512652800 180048547840 182417607680 192018534400 195263918080 196928099200 198053402624 202095308800 208477265920 216620909120 225060684800 228022009600 244079897600 247566753280 252067966976 257212211200 260596582400 270776136400 278948454400 282933432320 291868172288 309458441600 315084958720 331668377600 346593454592 353666790400 360097095680 364835215360 384037068800 390527836160 393856198400 396106805248 404190617600 433241818240 450121369600 456044019200 488159795200 495133506560 504135933952 521193164800 541552272800 565866864640 618916883200 630169917440 663336755200 693186909184 707333580800 729670430720 787712396800 792213610496 866483636480 900242739200 912088038400 976319590400 990267013120 1042386329600 1083104545600 1237833766400 1260339834880 1386373818368 1414667161600 1459340861440 1575424793600 1732967272960 1800485478400 1824176076800 1952639180800 1980534026240 2166209091200 2475667532800 2520679669760 2772747636736 2829334323200 3150849587200 3465934545920 3648352153600 3961068052480 4332418182400 4951335065600 5545495273472 6301699174400 6931869091840 7296704307200 8664836364800 9902670131200 12603398348800 13863738183680 17329672729600 19805340262400 27727476367360 34659345459200 69318690918400 138637381836800
- Sum of all divisors σ(n): 468281447435232
- Sum of proper divisors (its aliquot sum) s(n): 329644065598432
- 138637381836800 is an abundant number, because the sum of its proper divisors (329644065598432) is greater than itself. Its abundance is 191006683761632
Bases of 138637381836800
- Binary: 111111000010111000001111110010110100000000000002
- Hexadecimal: 0x7E1707E5A000
- Base-36: 1D554TMUBK
Squares and roots of 138637381836800
- 138637381836800 squared (1386373818368002) is 19220323642562682541834240000
- 138637381836800 cubed (1386373818368003) is 2664655347860837260030774720732332032000000
-
The
square root of 138637381836800 is 11774437.6441849655 -
The
cube root of 138637381836800 is 51755.9299092047
Scales and comparisons
How big is 138637381836800?- 138,637,381,836,800 seconds is equal to 4,408,239 years, 47 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,637,381,836,800 would take you about eleven million, twenty thousand, five hundred ninety-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138637381836800 cubic inches would be around 4313 feet tall.
Recreational maths with 138637381836800
- 138637381836800 backwards is 008638183736831
- The number of decimal digits it has is: 15
- The sum of 138637381836800's digits is 65
- More coming soon!
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Numbermatics. (2024). Number 138637381836800 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/138637381836800/
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The information we have on file for 138637381836800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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