821821203856990953

Names of 821821203856990953

• Cardinal: 821821203856990953 can be written as Eight hundred twenty-one quadrillion, eight hundred twenty-one trillion, two hundred three billion, eight hundred fifty-six million, nine hundred ninety thousand, nine hundred fifty-three.

Scientific notation

• Scientific notation: 8.21821203856990953 × 10¹⁷

Factors of 821821203856990953

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1409698011

Divisors of 821821203856990953

• Number of divisors d(n): 144
• Complete list of divisors:
  1 3 7 9 11 21 27 33 49 63 77 81 99 147 189 231 243 297 441 539 567 693 891 1323 1617 1701 2079 2673 3969 4451 4851 6237 11907 13353 14553 18711 31157 40059 43659 48961 93471 120177 130977 146883 218099 280413 342727 360531 440649 654297 841239 1028181 1081593 1321947 1962891 2399089 2523717 3084543 3965841 5888673 7197267 7571151 9253629 11897523 17666019 21591801 27760887 52998057 64775403 83282661 194326209 582978627 1409693539 4229080617 9867854773 12687241851 15506628929 29603564319 38061725553 46519886787 69074983411 88810692957 108546402503 114185176659 139559660361 207224950233 266432078871 325639207509 342555529977 418678981083 621674850699 759824817521 799296236613 976917622527 1256036943249 1865024552097 2279474452563 2397888709839 2930752867581 3768110829747 5595073656291 6274545942089 6838423357689 8792258602743 16785220968873 18823637826267 20515270073067 26376775808229 43921821594623 56470913478801 61545810219201 69020005362979 131765464783869 169412740436403 184637430657603 207060016088937 307452751162361 395296394351607 483140037540853 508238221309209 621180048266811 922358253487083 1185889183054821 1449420112622559 1524714663927627 1863540144800433 2767074760461249 3381980262785971 3557667549164463 4348260337867677 5590620434401299 8301224281383747 10145940788357913 10673002647493389 13044781013603031 16771861303203897 24903672844151241 30437822365073739 39134343040809093 74711018532453723 91313467095221217 117403029122427279 273940401285663651 821821203856990953
• Sum of all divisors σ(n): 1562562331444558080
• Sum of proper divisors (its aliquot sum) s(n): 740741127587567127
• 821821203856990953 is a deficient number, because the sum of its proper divisors (740741127587567127) is less than itself. Its deficiency is 81080076269423826

Bases of 821821203856990953

• Binary: 101101100111101100100000011111011100110001111010001011101001₂
• Hexadecimal: 0xB67B207DCC7A2E9
• Base-36: 68RZAX25RLK9

Squares and roots of 821821203856990953

• 821821203856990953 squared (821821203856990953²) is 675390091108953881643586411523848209
• 821821203856990953 cubed (821821203856990953³) is 555049897748243280910071015815768323459448285858253177
• The square root of 821821203856990953 is 906543547.6892386735
• The cube root of 821821203856990953 is 936682.5885198627

Scales and comparisons

• 821,821,203,856,990,953 seconds is equal to 26,131,372,222 years, 39 weeks, 4 days, 13 hours, 2 minutes, 33 seconds.
• To count from 1 to 821,821,203,856,990,953 would take you about seventy-eight billion, three hundred ninety-four million, one hundred sixteen thousand, six hundred sixty-eight 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 821821203856990953 cubic inches would be around 78056.9 feet tall.

Recreational maths with 821821203856990953

• 821821203856990953 backwards is 359099658302128128
• 821821203856990953 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 821821203856990953's digits is 81
• More coming soon!