518118213122013152

Names of 518118213122013152

• Cardinal: 518118213122013152 can be written as Five hundred eighteen quadrillion, one hundred eighteen trillion, two hundred thirteen billion, one hundred twenty-two million, thirteen thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 5.18118213122013152 × 10¹⁷

Factors of 518118213122013152

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 19568

Divisors of 518118213122013152

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 8 11 16 22 31 32 44 62 88 107 121 124 176 214 242 248 341 352 428 484 496 682 856 968 992 1177 1364 1712 1936 2354 2728 3317 3424 3751 3872 4708 5456 6634 7502 9416 10912 11449 12947 13268 15004 18832 19417 22898 25894 26536 30008 36487 37664 38834 45796 51788 53072 60016 72974 77668 91592 103576 106144 120032 125939 145948 155336 183184 207152 213587 251878 291896 310672 354919 366368 401357 414304 427174 503756 583792 601927 621344 709838 802714 854348 1007512 1167584 1203854 1385329 1419676 1605428 1708696 2015024 2077619 2349457 2407708 2770658 2839352 3210856 3417392 3904109 4030048 4155238 4698914 4815416 5541316 5678704 6421712 6621197 6834784 7808218 8310476 9397828 9630832 11082632 11357408 12843424 13242394 15616436 16620952 18795656 19261664 22165264 22853809 26484788 31232872 33241904 37591312 42945199 44330528 45707618 52969576 62465744 64406189 66483808 72833167 75182624 85890398 91415236 105939152 124931488 128812378 145666334 171780796 182830472 211878304 222305233 251391899 257624756 291332668 343561592 365660944 377019889 444610466 502783798 515249512 582665336 687123184 708468079 731321888 754039778 889220932 1005567596 1030499024 1165330672 1374246368 1416936158 1508079556 1778441864 2011135192 2060998048 2330661344 2445357563 2833872316 3016159112 3556883728 4022270384 4147218779 4890715126 5667744632 6032318224 6891462223 7113767456 7793148869 8044540768 8294437558 9781430252 11335489264 11687616559 12064636448 13782924446 15586297738 16588875116 19562860504 22670978528 23375233118 26898933193 27565848892 31172595476 33177750232 39125721008 40341128123 45619406569 46750466236 53797866386 55131697784 62345190952 66355500464 75806084453 78251442016 80682256246 91238813138 93500932472 107595732772 110263395568 124690381904 128563782149 132711000928 151612168906 161364512492 182477626276 187001864944 215191465544 220526791136 249380763808 257127564298 303224337812 322729024984 364955252552 374003729888 430382931088 443752409353 514255128596 606448675624 645458049968 729910505104 833866928983 860765862176 887504818706 1028510257192 1212897351248 1250574971813 1290916099936 1414201603639 1459821010208 1667733857966 1775009637412 2057020514384 2425794702496 2501149943626 2828403207278 3335467715932 3550019274824 4114041028768 4316500709161 4881276502883 5002299887252 5656806414556 6670935431864 7100038549648 8633001418322 9762553005766 10004599774504 11313612829112 13341870863728 13756324689943 14200077099296 17266002836644 19525106011532 20009199549008 22627225658224 26683741727456 27512649379886 34532005673288 39050212023064 40018399098016 45254451316448 47481507800771 55025298759772 69064011346576 78100424046128 94963015601542 110050597519544 133811521983991 138128022693152 151319571589373 156200848092256 189926031203084 220101195039088 267623043967982 302639143178746 379852062406168 440202390078176 522296585808481 535246087935964 605278286357492 759704124812336 1044593171616962 1070492175871928 1210556572714984 1471926741823901 1519408249624672 2089186343233924 2140984351743856 2421113145429968 2943853483647802 4178372686467848 4281968703487712 4842226290859936 5887706967295604 8356745372935696 11775413934591208 16191194160062911 16713490745871392 23550827869182416 32382388320125822 47101655738364832 64764776640251644 129529553280503288 259059106561006576 518118213122013152
• Sum of all divisors σ(n): 1168352549366419872
• Sum of proper divisors (its aliquot sum) s(n): 650234336244406720
• 518118213122013152 is an abundant number, because the sum of its proper divisors (650234336244406720) is greater than itself. Its abundance is 132116123122393568

Bases of 518118213122013152

• Binary: 11100110000101110011100010100001100110011000011011111100000₂
• Hexadecimal: 0x730B9C50CCC37E0
• Base-36: 3XPLKT790D7K

Squares and roots of 518118213122013152

• 518118213122013152 squared (518118213122013152²) is 268446482768747841568361961260975104
• 518118213122013152 cubed (518118213122013152³) is 139087011971032925426935427948664113892322619032567808
• The square root of 518118213122013152 is 719804288.0686479711
• The cube root of 518118213122013152 is 803173.9601521621

Scales and comparisons

• 518,118,213,122,013,152 seconds is equal to 16,474,556,532 years, 21 weeks, 6 days, 1 hour, 52 minutes, 32 seconds.
• To count from 1 to 518,118,213,122,013,152 would take you about forty-nine billion, four hundred twenty-three million, six hundred sixty-nine thousand, five hundred ninety-seven 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 518118213122013152 cubic inches would be around 66931.2 feet tall.

Recreational maths with 518118213122013152

• 518118213122013152 backwards is 251310221312811815
• The number of decimal digits it has is: 18
• The sum of 518118213122013152's digits is 47
• More coming soon!