90418635445903128

Names of 90418635445903128

• Cardinal: 90418635445903128 can be written as Ninety quadrillion, four hundred eighteen trillion, six hundred thirty-five billion, four hundred forty-five million, nine hundred three thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 9.0418635445903128 × 10¹⁶

Factors of 90418635445903128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 17899037941

Divisors of 90418635445903128

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 257 273 312 351 364 378 468 504 514 546 702 728 756 771 819 936 1028 1092 1404 1512 1542 1638 1799 2056 2184 2313 2457 2808 3084 3276 3341 3598 4626 4914 5397 6168 6552 6682 6939 7196 9252 9828 10023 10794 13364 13878 14392 16191 18504 19656 20046 21588 23387 26728 27756 30069 32382 40092 43176 46774 48573 55512 60138 64764 70161 80184 90207 93548 97146 120276 129528 140322 180414 187096 194292 210483 240552 280644 360828 388584 420966 561288 631449 721656 841932 1262898 1683864 2525796 5051592 17899037659 35798075318 53697112977 71596150636 107394225954 125293263613 143192301272 161091338931 214788451908 232687489567 250586527226 322182677862 375879790839 429576903816 465374979134 483274016793 501173054452 644365355724 698062468701 751759581678 930749958268 966548033586 1002346108904 1127639372517 1288730711448 1396124937402 1503519163356 1628812426969 1861499916536 1933096067172 2094187406103 2255278745034 2792249874804 3007038326712 3257624853938 3382918117551 3866192134344 4188374812206 4510557490068 4600052678363 4886437280907 5584499749608 6282562218309 6515249707876 6765836235102 8376749624412 9021114980136 9200105356726 9772874561814 12565124436618 13030499415752 13531672470204 13800158035089 14659311842721 16753499248824 18400210713452 19545749123628 25130248873236 27063344940408 27600316070178 29318623685442 32200368748541 36800421426904 39091498247256 41400474105267 43977935528163 50260497746472 55200632140356 58637247370884 59800684818719 64400737497082 82800948210534 87955871056326 96601106245623 110401264280712 117274494741768 119601369637438 124201422315801 128801474994164 165601896421068 175911742112652 179402054456157 193202212491246 239202739274876 248402844631602 257602949988328 289803318736869 331203792842136 351823484225304 358804108912314 386404424982492 418604793731033 478405478549752 496805689263204 538206163368471 579606637473738 717608217824628 772808849964984 837209587462066 869409956210607 993611378526408 1076412326736942 1159213274947476 1255814381193099 1435216435649256 1614618490105413 1674419174924132 1738819912421214 2152824653473884 2318426549894952 2511628762386198 3229236980210826 3348838349848264 3477639824842428 3767443143579297 4305649306947768 5023257524772396 6458473960421652 6955279649684856 7534886287158594 10046515049544792 11302329430737891 12916947920843304 15069772574317188 22604658861475782 30139545148634376 45209317722951564 90418635445903128
• Sum of all divisors σ(n): 310326355334016000
• Sum of proper divisors (its aliquot sum) s(n): 219907719888112872
• 90418635445903128 is an abundant number, because the sum of its proper divisors (219907719888112872) is greater than itself. Its abundance is 129489084442209744

Bases of 90418635445903128

• Binary: 101000001001110110100010100010110110101000001111100011000₂
• Hexadecimal: 0x1413B4516D41F18
• Base-36: OQAQBOSI6U0

Squares and roots of 90418635445903128

• 90418635445903128 squared (90418635445903128²) is 8175529635899129550810159560184384
• 90418635445903128 cubed (90418635445903128³) is 739220233725540529376540730747557431661161082353152
• The square root of 90418635445903128 is 300696916.2560586155
• The cube root of 90418635445903128 is 448834.2426227181

Scales and comparisons

• 90,418,635,445,903,128 seconds is equal to 2,875,032,923 years, 50 weeks, 5 days, 13 hours, 58 minutes, 48 seconds.
• To count from 1 to 90,418,635,445,903,128 would take you about eight billion, six hundred twenty-five million, ninety-eight thousand, seven hundred seventy-one 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 90418635445903128 cubic inches would be around 37402.9 feet tall.

Recreational maths with 90418635445903128

• 90418635445903128 backwards is 82130954453681409
• 90418635445903128 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 90418635445903128's digits is 72
• More coming soon!