137824066812315078

Names of 137824066812315078

• Cardinal: 137824066812315078 can be written as One hundred thirty-seven quadrillion, eight hundred twenty-four trillion, sixty-six billion, eight hundred twelve million, three hundred fifteen thousand and seventy-eight.

Scientific notation

• Scientific notation: 1.37824066812315078 × 10¹⁷

Factors of 137824066812315078

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 723

Divisors of 137824066812315078

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 6 9 13 18 26 31 39 62 78 93 117 127 186 234 254 279 381 403 547 558 762 806 961 1094 1143 1209 1641 1651 1922 2286 2418 2883 3282 3302 3627 3937 4923 4953 5766 7111 7254 7874 8649 9846 9906 11811 12493 14222 14859 16129 16957 17298 21333 23622 24986 29718 32258 33914 35433 37479 42666 48387 50871 51181 63999 69469 70866 74958 96774 101742 102362 112437 122047 127998 138938 145161 152613 153543 208407 209677 220441 224874 244094 290322 299209 305226 307086 366141 416814 419354 440882 460629 499999 525667 598418 625221 629031 661323 732282 897627 903097 921258 999998 1051334 1098423 1250442 1258062 1322646 1499997 1577001 1586611 1795254 1806194 1887093 1983969 2048383 2153539 2196846 2692881 2709291 2999994 3154002 3173222 3774186 3889717 3967938 4096766 4307078 4499991 4731003 4759833 5385762 5418582 6145149 6460617 6499987 6833671 7779434 8127873 8822563 8999982 9275479 9462006 9519666 11669151 12290298 12921234 12999974 13667342 14279499 15499969 16255746 17645126 18435447 18550958 19381851 19499961 20501013 23338302 26467689 26628979 27826437 27996007 28558998 30999938 35007453 36870894 37999543 38763702 38999922 41002026 46499907 52935378 53257958 55652874 55992014 58499883 61503039 63499873 66759709 70014906 75999086 79403067 79886937 83479311 83988021 92999814 113998629 114693319 116999766 120581227 123006078 126999746 133519418 139499721 158806134 159773874 166958622 167976042 190499619 200279127 201499597 227997258 229386638 239660811 241162454 251964063 273499453 278999442 287539849 341995887 344079957 361743681 380999238 400558254 402999194 479321622 493994059 503928126 546998906 571498857 575079698 600837381 604498791 683991774 688159914 723487362 820498359 825498349 862619547 867876217 987988118 1032239871 1085231043 1120465501 1142997714 1177985833 1201674762 1208997582 1481982177 1640996718 1650996698 1725239094 1735752434 1813496373 1968496063 2064479742 2170462086 2240931002 2355971666 2461495077 2476495047 2587858641 2603628651 2963964354 3361396503 3533957499 3555492889 3626992746 3738018037 3936992126 4445946531 4825941961 4922990154 4952990094 5175717282 5207257302 5905488189 6722793006 7067914998 7110985778 7429485141 7476036074 7810885953 8478483043 8891893062 9651883922 10084189509 10601872497 10666478667 11214054111 11810976378 14477825883 14566051513 14858970282 15313815829 15621771906 16956966086 17716464567 20168379018 21203744994 21332957334 22428108222 25435449129 25590448819 28955651766 29132103026 30627631658 31999436001 33642162333 34734430531 35432929134 36517560823 43433477649 43698154539 45941447487 50870898258 51180897638 62737245493 63998872002 67284324666 69468861062 73035121646 76306347387 76771346457 86866955298 87396309078 91882894974 104203291593 109552682469 110220279559 125474490986 131094463617 137824342461 149604200791 152612694774 153542692914 188211736479 208406583186 219105364938 220440559118 230314039371 262188927234 275648684922 299208401582 312609874779 328658047407 330660838677 376423472958 448812602373 451547596903 460628078742 474728290699 564635209437 612894629047 625219749558 657316094814 661321677354 897625204746 903095193806 949456581398 991982516031 1076767346461 1129270418874 1225789258094 1346437807119 1354642790709 1424184872097 1838683887141 1944854610283 1983965032062 2153534692922 2692875614238 2709285581418 2848369744194 3230302039383 3677367774282 3889709220566 4063928372127 4272554616291 4637730224521 5516051661423 5834563830849 6460604078766 7967630177611 8127856744254 8545109232582 9275460449042 9690906118149 11032103322846 11669127661698 13913190673563 13997975503993 15935260355222 17503691492547 18999733500457 19381812236298 23902890532833 27826381347126 27995951007986 35007382985094 37999467000914 41739572020689 41993926511979 47805781065666 56999200501371 60290492918773 71708671598499 83479144041378 83987853023958 113998401002742 120580985837546 125981779535937 143417343196998 170997601504113 180871478756319 246996535505941 251963559071874 341995203008226 361742957512638 493993071011882 542614436268957 588991738514167 740989606517823 1085228872537914 1177983477028334 1481979213035646 1766975215542501 2222968819553469 3533950431085002 4445937639106938 5300925646627503 7656892600684171 10601851293255006 15313785201368342 22970677802052513 45941355604105026 68912033406157539 137824066812315078
• Sum of all divisors σ(n): 335548700996221440
• Sum of proper divisors (its aliquot sum) s(n): 197724634183906362
• 137824066812315078 is an abundant number, because the sum of its proper divisors (197724634183906362) is greater than itself. Its abundance is 59900567371591284

Bases of 137824066812315078

• Binary: 111101001101001100100001000101111110110010000010111000110₂
• Hexadecimal: 0x1E9A6422FD905C6
• Base-36: 11P2JY7O3LXI

Squares and roots of 137824066812315078

• 137824066812315078 squared (137824066812315078²) is 18995473392685490505990081946146084
• 137824066812315078 cubed (137824066812315078³) is 2618033394005038411366189299332639210167592023854552
• The square root of 137824066812315078 is 371246638.7892489431
• The cube root of 137824066812315078 is 516545.2277396983

Scales and comparisons

• 137,824,066,812,315,078 seconds is equal to 4,382,379,006 years, 41 weeks, 4 days, 20 hours, 51 minutes, 18 seconds.
• To count from 1 to 137,824,066,812,315,078 would take you about thirteen billion, one hundred forty-seven million, one hundred thirty-seven thousand and twenty 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 137824066812315078 cubic inches would be around 43045.4 feet tall.

Recreational maths with 137824066812315078

• 137824066812315078 backwards is 870513218660428731
• The number of decimal digits it has is: 18
• The sum of 137824066812315078's digits is 72
• More coming soon!