47145901214940416

Names of 47145901214940416

• Cardinal: 47145901214940416 can be written as Forty-seven quadrillion, one hundred forty-five trillion, nine hundred one billion, two hundred fourteen million, nine hundred forty thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 4.7145901214940416 × 10¹⁶

Factors of 47145901214940416

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1249

Divisors of 47145901214940416

• Number of divisors d(n): 252
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 742 848 896 1187 1484 1696 1792 2374 2809 2968 3392 4748 5618 5936 6784 8309 9496 11236 11872 13568 16618 18992 19663 22472 23744 33236 37984 39326 44944 47488 62911 66472 75968 78652 89888 94976 125822 132944 148877 151936 157304 179776 251644 265888 297754 303872 314608 359552 440377 503288 531776 595508 629216 719104 880754 1006576 1042139 1063552 1191016 1258432 1761508 2013152 2084278 2127104 2382032 2516864 3334283 3523016 4026304 4168556 4764064 5033728 6668566 7046032 7890481 8052608 8337112 9528128 13337132 14092064 15780962 16105216 16674224 19056256 23339981 26674264 28184128 31561924 33348448 38112512 46679962 53348528 55233367 56368256 63123848 66696896 93359924 106697056 110466734 112736512 126247696 133393792 176716999 186719848 213394112 220933468 252495392 266787584 353433998 373439696 418195493 426788224 441866936 504990784 706867996 746879392 836390986 853576448 883733872 1009981568 1237018993 1413735992 1493758784 1672781972 1767467744 2019963136 2474037986 2827471984 2927368451 2987517568 3345563944 3534935488 4948075972 5654943968 5854736902 5975035136 6691127888 7069870976 9366000947 9896151944 11309887936 11709473804 13382255776 14139741952 18732001894 19792303888 22164361129 22619775872 23418947608 26764511552 37464003788 39584607776 44328722258 45239551744 46837895216 53529023104 65562006629 74928007576 79169215552 88657444516 93675790432 107058046208 131124013258 149856015152 155150527903 158338431104 177314889032 187351580864 262248026516 299712030304 310301055806 316676862208 354629778064 374703161728 496398050191 524496053032 599424060608 620602111612 709259556128 749406323456 992796100382 1048992106064 1198848121216 1241204223224 1418519112256 1985592200764 2097984212128 2397696242432 2482408446448 2837038224512 3474786351337 3971184401528 4195968424256 4964816892896 5674076449024 6949572702674 7942368803056 8391936848512 9929633785792 13899145405348 15884737606112 16783873697024 19859267571584 26309096660123 27798290810696 31769475212224 39718535143168 52618193320246 55596581621392 63538950424448 105236386640492 111193163242784 127077900848896 184163676620861 210472773280984 222386326485568 368327353241722 420945546561968 444772652971136 736654706483444 841891093123936 889545305942272 1473309412966888 1683782186247872 2946618825933776 3367564372495744 5893237651867552 6735128744991488 11786475303735104 23572950607470208 47145901214940416
• Sum of all divisors σ(n): 109712237267378592
• Sum of proper divisors (its aliquot sum) s(n): 62566336052438176
• 47145901214940416 is an abundant number, because the sum of its proper divisors (62566336052438176) is greater than itself. Its abundance is 15420434837497760

Bases of 47145901214940416

• Binary: 10100111011111101111001010000110100010000011110100000000₂
• Hexadecimal: 0xA77EF286883D00
• Base-36: CW7TS0OA1A8

Squares and roots of 47145901214940416

• 47145901214940416 squared (47145901214940416²) is 2222736001368920193469014430253056
• 47145901214940416 cubed (47145901214940416³) is 104792891947430776710603276751312427872050841911296
• The square root of 47145901214940416 is 217131069.2069203073
• The cube root of 47145901214940416 is 361255.6492994807

Scales and comparisons

• 47,145,901,214,940,416 seconds is equal to 1,499,093,826 years, 40 weeks, 6 days, 16 hours, 46 minutes, 56 seconds.
• To count from 1 to 47,145,901,214,940,416 would take you about four billion, four hundred ninety-seven million, two hundred eighty-one thousand, four hundred eighty 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 47145901214940416 cubic inches would be around 30104.6 feet tall.

Recreational maths with 47145901214940416

• 47145901214940416 backwards is 61404941210954174
• The number of decimal digits it has is: 17
• The sum of 47145901214940416's digits is 62
• More coming soon!