137142523103865600

Names of 137142523103865600

• Cardinal: 137142523103865600 can be written as One hundred thirty-seven quadrillion, one hundred forty-two trillion, five hundred twenty-three billion, one hundred three million, eight hundred sixty-five thousand, six hundred.

Scientific notation

• Scientific notation: 1.371425231038656 × 10¹⁷

Factors of 137142523103865600

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2251131537

Divisors of 137142523103865600

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 64 75 76 80 95 96 100 114 120 128 150 152 160 167 190 192 200 228 240 256 285 300 304 320 334 380 384 400 456 475 480 501 570 600 608 640 668 760 768 800 835 912 950 960 1002 1140 1200 1216 1280 1336 1425 1520 1600 1670 1824 1900 1920 2004 2280 2400 2432 2505 2672 2850 3040 3173 3200 3340 3648 3800 3840 4008 4175 4560 4800 4864 5010 5344 5700 6080 6346 6400 6680 7296 7600 8016 8350 9120 9519 9600 10020 10688 11400 12160 12525 12692 13360 14592 15200 15865 16032 16700 18240 19038 19200 20040 21376 22800 24320 25050 25384 26720 30400 31730 32064 33400 36480 38076 40080 42752 45600 47595 50100 50768 53440 60800 63460 64128 66800 72960 76152 79325 80160 91200 95190 100200 101536 106880 121600 126920 128256 133600 152304 158650 160320 182400 190380 200400 203072 213760 237975 253840 267200 304608 317300 320640 364800 380760 400800 406144 475950 507680 534400 609216 634600 641280 761520 801600 812288 951900 1015360 1068800 1218432 1269200 1523040 1603200 1903800 2030720 2436864 2538400 3046080 3206400 3807600 4061440 5076800 6092160 7615200 10153600 12184320 15230400 20307200 30460800 60921600 2251131341 4502262682 6753394023 9004525364 11255656705 13506788046 18009050728 22511313410 27013576092 33766970115 36018101456 42771495479 45022626820 54027152184 56278283525 67533940230 72036202912 85542990958 90045253640 108054304368 112556567050 128314486437 135067880460 144072405824 168834850575 171085981916 180090507280 213857477395 216108608736 225113134100 256628972874 270135760920 288144811648 337669701150 342171963832 360181014560 375938933947 427714954790 432217217472 450226268200 513257945748 540271521840 576289623296 641572432185 675339402300 684343927664 720362029120 751877867894 855429909580 864434434944 900452536400 1026515891496 1069287386975 1080543043680 1127816801841 1283144864370 1350678804600 1368687855328 1440724058240 1503755735788 1710859819160 1728868869888 1800905072800 1879694669735 2053031782992 2138574773950 2161086087360 2255633603682 2566289728740 2701357609200 2737375710656 2881448116480 3007511471576 3207862160925 3421719638320 3601810145600 3759389339470 4106063565984 4277149547900 4322172174720 4511267207364 5132579457480 5402715218400 5474751421312 5639084009205 6015022943152 6415724321850 6843439276640 7142839744993 7203620291200 7518778678940 8212127131968 8554299095800 8644344349440 9022534414728 9398473348675 10265158914960 10805430436800 10949502842624 11278168018410 12030045886304 12831448643700 13686878553280 14285679489986 14407240582400 15037557357880 16424254263936 17108598191600 18045068829456 18796946697350 20530317829920 21428519234979 21610860873600 22556336036820 24060091772608 25662897287400 27373757106560 28195420046025 28571358979972 30075114715760 32848508527872 34217196383200 35714198724965 36090137658912 37593893394700 41060635659840 42857038469958 43221721747200 45112672073640 48120183545216 51325794574800 54747514213120 56390840092050 57142717959944 60150229431520 68434392766400 71428397449930 72180275317824 75187786789400 82121271319680 85714076939916 90225344147280 96240367090432 102651589149600 107142596174895 112781680184100 114285435919888 120300458863040 136868785532800 142856794899860 144360550635648 150375573578800 164242542639360 171428153879832 178570993624825 180450688294560 205303178299200 214285192349790 225563360368200 228570871839776 240600917726080 273737571065600 285713589799720 288721101271296 300751147157600 342856307759664 357141987249650 360901376589120 410606356598400 428570384699580 451126720736400 457141743679552 481201835452160 535712980874475 571427179599440 601502294315200 685712615519328 714283974499300 721802753178240 821212713196800 857140769399160 902253441472800 914283487359104 1071425961748950 1142854359198880 1203004588630400 1371425231038656 1428567948998600 1443605506356480 1714281538798320 1804506882945600 1828566974718208 2142851923497900 2285708718397760 2406009177260800 2742850462077312 2857135897997200 3428563077596640 3609013765891200 4285703846995800 4571417436795520 5485700924154624 5714271795994400 6857126155193280 7218027531782400 8571407693991600 9142834873591040 11428543591988800 13714252310386560 17142815387983200 22857087183977600 27428504620773120 34285630775966400 45714174367955200 68571261551932800 137142523103865600
• Sum of all divisors σ(n): 479272706151079680
• Sum of proper divisors (its aliquot sum) s(n): 342130183047214080
• 137142523103865600 is an abundant number, because the sum of its proper divisors (342130183047214080) is greater than itself. Its abundance is 204987659943348480

Bases of 137142523103865600

• Binary: 111100111001110100110010111101101001101001110101100000000₂
• Hexadecimal: 0x1E73A65ED34EB00
• Base-36: 11ICYTCT0YDC

Squares and roots of 137142523103865600

• 137142523103865600 squared (137142523103865600²) is 18808071643294309884605662863360000
• 137142523103865600 cubed (137142523103865600³) is 2579386399879649335192408937919092593980604416000000
• The square root of 137142523103865600 is 370327588.9045610925
• The cube root of 137142523103865600 is 515692.3770642299

Scales and comparisons

• 137,142,523,103,865,600 seconds is equal to 4,360,708,025 years, 1 week, 2 days, 13 hours, 20 minutes.
• To count from 1 to 137,142,523,103,865,600 would take you about thirteen billion, eighty-two million, one hundred twenty-four thousand and seventy-five 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 137142523103865600 cubic inches would be around 42974.4 feet tall.

Recreational maths with 137142523103865600

• 137142523103865600 backwards is 006568301325241731
• 137142523103865600 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137142523103865600's digits is 57
• More coming soon!