137948068998724393728

Names of 137948068998724393728

• Cardinal: 137948068998724393728 can be written as One hundred thirty-seven quintillion, nine hundred forty-eight quadrillion, sixty-eight trillion, nine hundred ninety-eight billion, seven hundred twenty-four million, three hundred ninety-three thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37948068998724393728 × 10²⁰

Factors of 137948068998724393728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 49036276688220

Divisors of 137948068998724393728

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 37 44 48 54 64 66 72 74 88 96 99 108 111 128 132 144 148 176 192 198 216 222 256 264 288 296 297 333 352 384 396 407 432 444 528 576 592 594 666 704 768 792 814 864 888 999 1056 1152 1184 1188 1221 1332 1408 1584 1628 1728 1776 1998 2112 2304 2368 2376 2442 2664 2816 3168 3256 3456 3552 3663 3996 4224 4736 4752 4884 5328 6336 6512 6912 7104 7326 7992 8448 9472 9504 9768 10656 10989 12672 13024 14208 14652 15984 19008 19536 21312 21978 25344 26048 28416 29304 31968 38016 39072 42624 43956 52096 58608 63936 76032 78144 85248 87912 104192 117216 127872 156288 175824 234432 255744 312576 351648 468864 703296 937728 1406592 2813184 49036276688167 98072553376334 147108830064501 196145106752668 294217660129002 392290213505336 441326490193503 539399043569837 588435320258004 784580427010672 882652980387006 1078798087139674 1176870640516008 1323979470580509 1569160854021344 1618197130709511 1765305960774012 1814342237462179 2157596174279348 2353741281032016 2647958941161018 3138321708042688 3236394261419022 3530611921548024 3628684474924358 4315192348558696 4707482562064032 4854591392128533 5295917882322036 5443026712386537 6276643416085376 6472788522838044 7061223843096048 7257368949848716 8630384697117392 9414965124128064 9709182784257066 10591835764644072 10886053424773074 12553286832170752 12945577045676088 14122447686192096 14514737899697432 14563774176385599 16329080137159611 17260769394234784 18829930248256128 19418365568514132 19957764612083969 21183671529288144 21772106849546148 25891154091352176 28244895372384192 29029475799394864 29127548352771198 32658160274319222 34521538788469568 37659860496512256 38836731137028264 39915529224167938 42367343058576288 43544213699092296 48987240411478833 51782308182704352 56489790744768384 58058951598789728 58255096705542396 59873293836251907 65316320548638444 69043077576939136 77673462274056528 79831058448335876 84734686117152576 87088427398184592 97974480822957666 103564616365408704 112979581489536768 116117903197579456 116510193411084792 119746587672503814 130632641097276888 138086155153878272 155346924548113056 159662116896671752 169469372234305152 174176854796369184 179619881508755721 195948961645915332 207129232730817408 232235806395158912 233020386822169584 239493175345007628 261265282194553776 310693849096226112 319324233793343504 338938744468610304 348353709592738368 359239763017511442 391897923291830664 414258465461634816 464471612790317824 466040773644339168 478986350690015256 522530564389107552 538859644526267163 621387698192452224 638648467586687008 696707419185476736 718479526035022884 783795846583661328 932081547288678336 957972701380030512 1045061128778215104 1077719289052534326 1242775396384904448 1277296935173374016 1393414838370953472 1436959052070045768 1567591693167322656 1864163094577356672 1915945402760061024 2090122257556430208 2155438578105068652 2554593870346748032 2873918104140091536 3135183386334645312 3728326189154713344 3831890805520122048 4180244515112860416 4310877156210137304 5109187740693496064 5747836208280183072 6270366772669290624 7663781611040244096 8621754312420274608 11495672416560366144 12540733545338581248 15327563222080488192 17243508624840549216 22991344833120732288 34487017249681098432 45982689666241464576 68974034499362196864 137948068998724393728
• Sum of all divisors σ(n): 457049481950806187520
• Sum of proper divisors (its aliquot sum) s(n): 319101412952081793792
• 137948068998724393728 is an abundant number, because the sum of its proper divisors (319101412952081793792) is greater than itself. Its abundance is 181153343953357400064

Bases of 137948068998724393728

• Binary: 1110111101001101001111111011101111111001000000010110001101100000000₂
• Hexadecimal: 0x77A69FDDFC80B1B00
• Base-36: T42BXA71YSAO0

Squares and roots of 137948068998724393728

• 137948068998724393728 squared (137948068998724393728²) is 19029669740476826155948249635361165737984
• 137948068998724393728 cubed (137948068998724393728³) is 2625106194382234941386713049412845693801564336895396100964352
• The square root of 137948068998724393728 is 11745129586.2891352659
• The cube root of 137948068998724393728 is 5167000.9555775519

Scales and comparisons

• 137,948,068,998,724,393,728 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,948,068,998,724,393,728 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137948068998724393728 cubic inches would be around 430583.4 feet tall.

Recreational maths with 137948068998724393728

• 137948068998724393728 backwards is 827393427899860849731
• The number of decimal digits it has is: 21
• The sum of 137948068998724393728's digits is 117
• More coming soon!