138391824801574912

Names of 138391824801574912

• Cardinal: 138391824801574912 can be written as One hundred thirty-eight quadrillion, three hundred ninety-one trillion, eight hundred twenty-four billion, eight hundred one million, five hundred seventy-four thousand, nine hundred twelve.

Scientific notation

• Scientific notation: 1.38391824801574912 × 10¹⁷

Factors of 138391824801574912

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1949

Divisors of 138391824801574912

• Number of divisors d(n): 234
• Complete list of divisors:
  1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 811 1024 1093 1376 1622 2048 2186 2752 3244 4096 4372 5504 6488 8744 11008 12976 17488 22016 25952 34873 34976 44032 46999 51904 69746 69952 88064 93998 103808 139492 139904 176128 187996 207616 278984 279808 375992 415232 557968 559616 657721 751984 830464 886423 1115936 1119232 1194649 1315442 1503968 1660928 1772846 2231872 2238464 2389298 2630884 3007936 3321856 3545692 4463744 4476928 4778596 5261768 6015872 7091384 8927488 9557192 10523536 12031744 14182768 17854976 19114384 21047072 24063488 28282003 28365536 35709952 38116189 38228768 42094144 48126976 51369907 56564006 56731072 71419904 76232378 76457536 84188288 96253952 102739814 113128012 113462144 142839808 152464756 152915072 168376576 192507904 205479628 226256024 226924288 304929512 305830144 336753152 410959256 452512048 453848576 609859024 611660288 673506304 718889053 821918512 905024096 907697152 968860339 1219718048 1223320576 1347012608 1437778106 1643837024 1810048192 1815394304 1937720678 2439436096 2446641152 2694025216 2875556212 3287674048 3620096384 3630788608 3875441356 4878872192 4893282304 5751112424 6575348096 7240192768 7750882712 9757744384 11502224848 13150696192 14480385536 15501765424 19515488768 23004449696 26301392384 28960771072 30912229279 31003530848 39030977536 41660994577 46008899392 52602784768 57921542144 61824458558 62007061696 78061955072 83321989154 92017798784 105205569536 115843084288 123648917116 124014123392 156123910144 166643978308 184035597568 210411139072 247297834232 248028246784 333287956616 368071195136 494595668464 496056493568 666575913232 736142390272 785745734929 989191336928 992112987136 1333151826464 1472284780544 1571491469858 1978382673856 1984225974272 2666303652928 2944569561088 3142982939716 3956765347712 3968451948544 5332607305856 6285965879432 7913530695424 10665214611712 12571931758864 15827061390848 21330429223424 25143863517728 31654122781696 33787066601947 42660858446848 50287727035456 63308245563392 67574133203894 85321716893696 100575454070912 126616491126784 135148266407788 170643433787392 201150908141824 270296532815576 402301816283648 540593065631152 804603632567296 1081186131262304 1609207265134592 2162372262524608 3218414530269184 4324744525049216 8649489050098432 17298978100196864 34597956200393728 69195912400787456 138391824801574912
• Sum of all divisors σ(n): 283795165241747676
• Sum of proper divisors (its aliquot sum) s(n): 145403340440172764
• 138391824801574912 is an abundant number, because the sum of its proper divisors (145403340440172764) is greater than itself. Its abundance is 7011515638597852

Bases of 138391824801574912

• Binary: 111101011101010101010000110100101000111011011000000000000₂
• Hexadecimal: 0x1EBAAA1A51DB000
• Base-36: 11UNT2MRTTZ4

Squares and roots of 138391824801574912

• 138391824801574912 squared (138391824801574912²) is 19152297171909804931161315547807744
• 138391824801574912 cubed (138391824801574912³) is 2650521354762640388079059656533470461523280189718528
• The square root of 138391824801574912 is 372010517.0577505487
• The cube root of 138391824801574912 is 517253.5483770751

Scales and comparisons

• 138,391,824,801,574,912 seconds is equal to 4,400,431,954 years, 34 weeks, 5 days, 17 hours, 1 minute, 52 seconds.
• To count from 1 to 138,391,824,801,574,912 would take you about thirteen billion, two hundred one million, two hundred ninety-five thousand, eight hundred sixty-four 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 138391824801574912 cubic inches would be around 43104.5 feet tall.

Recreational maths with 138391824801574912

• 138391824801574912 backwards is 219475108428193831
• The number of decimal digits it has is: 18
• The sum of 138391824801574912's digits is 76
• More coming soon!