138878788233131008

Names of 138878788233131008

• Cardinal: 138878788233131008 can be written as One hundred thirty-eight quadrillion, eight hundred seventy-eight trillion, seven hundred eighty-eight billion, two hundred thirty-three million, one hundred thirty-one thousand and eight.

Scientific notation

• Scientific notation: 1.38878788233131008 × 10¹⁷

Factors of 138878788233131008

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 66851

Divisors of 138878788233131008

• Number of divisors d(n): 352
• Complete list of divisors:
  1 2 4 8 16 17 32 34 53 64 68 106 128 136 137 212 256 272 274 424 512 544 548 848 901 1024 1088 1096 1696 1802 2176 2192 2329 3392 3604 4352 4384 4658 6784 7208 7261 8704 8768 9316 13568 14416 14522 17408 17536 18632 27136 28832 29044 29921 35072 36721 37264 54272 57664 58088 59842 70144 73442 74528 115328 116176 119684 123437 140288 146884 149056 230656 232352 239368 246874 293768 298112 461312 464704 478736 493748 508657 587536 596224 624257 922624 929408 957472 987496 1017314 1175072 1192448 1248514 1585813 1858816 1914944 1946213 1974992 2034628 2350144 2384896 2497028 3171626 3717632 3829888 3892426 3949984 4069256 4099177 4700288 4994056 5030777 6343252 7435264 7659776 7784852 7899968 8138512 8198354 9400576 9988112 10061554 12686504 15319552 15569704 15799936 16277024 16396708 18801152 19976224 20123108 25373008 26958821 30639104 31139408 31599872 32554048 32793416 33085621 37602304 39952448 40246216 50746016 53917642 62278816 63199744 65108096 65586832 66171242 69686009 79904896 80492432 85523209 101492032 107835284 124557632 126399488 130216192 131173664 132342484 139372018 159809792 160984864 171046418 202984064 215670568 217256381 249115264 260432384 262347328 264684968 266631181 278744036 319619584 321969728 342092836 405968128 431341136 434512762 498230528 520864768 524694656 529369936 533262362 557488072 639239168 643939456 684185672 811936256 862682272 869025524 996461056 1049389312 1058739872 1066524724 1098729041 1114976144 1287878912 1368371344 1623872512 1725364544 1738051048 1992922112 2098778624 2117479744 2133049448 2197458082 2229952288 2575757824 2736742688 3450729088 3476102096 3693358477 4197557248 4234959488 4266098896 4394916164 4459904576 4532730077 5151515648 5473485376 6901458176 6952204192 7386716954 8469918976 8532197792 8789832328 8919809152 9065460154 10946970752 13802916352 13904408384 14773433908 16939837952 17064395584 17579664656 17839618304 18130920308 18678393697 21893941504 27605832704 27808816768 29546867816 33879675904 34128791168 35159329312 35679236608 36261840616 37356787394 43787883008 55617633536 58232639173 59093735632 68257582336 70318658624 71358473216 72523681232 74713574788 87575766016 111235267072 116465278346 118187471264 136515164672 140637317248 145047362464 149427149576 150525878617 222470534144 232930556692 236374942528 273030329344 281274634496 290094724928 298854299152 301051757234 465861113384 472749885056 562549268992 580189449856 597708598304 602103514468 931722226768 945499770112 989954865941 1125098537984 1160378899712 1195417196608 1204207028936 1863444453536 1890999540224 1979909731882 2320757799424 2390834393216 2408414057872 2558939936489 3726888907072 3781999080448 3959819463764 4641515598848 4781668786432 4816828115744 5117879872978 7453777814144 7919638927528 7977871566701 9563337572864 9633656231488 10235759745956 14907555628288 15839277855056 15955743133402 19126675145728 19267312462976 20471519491912 29815111256576 31678555710112 31911486266804 38534624925952 40943038983824 59630222513152 63357111420224 63822972533608 77069249851904 81886077967648 126714222840448 127645945067216 135623816633917 154138499703808 163772155935296 253428445680896 255291890134432 271247633267834 327544311870592 506856891361792 510583780268864 542495266535668 655088623741184 1013713782723584 1021167560537728 1084990533071336 1310177247482368 2042335121075456 2169981066142672 2620354494964736 4084670242150912 4339962132285344 8169340484301824 8679924264570688 17359848529141376 34719697058282752 69439394116565504 138878788233131008
• Sum of all divisors σ(n): 301703354457892128
• Sum of proper divisors (its aliquot sum) s(n): 162824566224761120
• 138878788233131008 is an abundant number, because the sum of its proper divisors (162824566224761120) is greater than itself. Its abundance is 23945777991630112

Bases of 138878788233131008

• Binary: 111101101011001011000010110100111011110001111010000000000₂
• Hexadecimal: 0x1ED6585A778F400
• Base-36: 11ZGF6JLYCCG

Squares and roots of 138878788233131008

• 138878788233131008 squared (138878788233131008²) is 19287317821102847726866674891096064
• 138878788233131008 cubed (138878788233131008³) is 2678599327262036160905869408700389958859947625152512
• The square root of 138878788233131008 is 372664444.5518394339
• The cube root of 138878788233131008 is 517859.5299869405

Scales and comparisons

• 138,878,788,233,131,008 seconds is equal to 4,415,915,885 years, 26 weeks, 5 days, 21 hours, 43 minutes, 28 seconds.
• To count from 1 to 138,878,788,233,131,008 would take you about thirteen billion, two hundred forty-seven million, seven hundred forty-seven thousand, six hundred fifty-six 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 138878788233131008 cubic inches would be around 43155 feet tall.

Recreational maths with 138878788233131008

• 138878788233131008 backwards is 800131332887878831
• The number of decimal digits it has is: 18
• The sum of 138878788233131008's digits is 79
• More coming soon!