821214162505729993

Names of 821214162505729993

• Cardinal: 821214162505729993 can be written as Eight hundred twenty-one quadrillion, two hundred fourteen trillion, one hundred sixty-two billion, five hundred five million, seven hundred twenty-nine thousand, nine hundred ninety-three.

Scientific notation

• Scientific notation: 8.21214162505729993 × 10¹⁷

Factors of 821214162505729993

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 4222764

Divisors of 821214162505729993

• Number of divisors d(n): 96
• Complete list of divisors:
  1 7 11 13 17 77 91 119 121 143 187 221 847 1001 1309 1547 1573 2057 2431 11011 14399 17017 26741 187187 1845463 2377253 12918241 16640771 20300093 23991019 26149783 30904289 31372871 40413301 142100651 167937133 183048481 216330023 219610097 223301023 263901209 282893107 287647613 339947179 345101581 407847323 444546311 525372913 1563107161 1847308463 2013533291 2379630253 2415711067 2854931261 2902913299 3111824177 3677610391 3739418969 3796117391 4486320553 4890009421 5779102043 20320393093 26175932783 26572821737 31404243871 34230065947 40453714301 49349526083 63570122473 345446682581 444990857311 4387132453139 30709927171973 48258456984529 57032721890807 74581251703363 337809198891703 399229053235649 522068761923541 530843026829819 627359940798877 820393768736993 969556272143719 3715901187808733 4391519585592139 5742756381158951 6786893905006033 6900959348787647 9024331456106923 10665118993580909 48306715441513529 63170320192748461 74655832955066363 117316308929389999 821214162505729993
• Sum of all divisors σ(n): 1176314182623917568
• Sum of proper divisors (its aliquot sum) s(n): 355100020118187575
• 821214162505729993 is a deficient number, because the sum of its proper divisors (355100020118187575) is less than itself. Its deficiency is 466114142387542418

Bases of 821214162505729993

• Binary: 101101100101100010011110111000001000101011001000011111001001₂
• Hexadecimal: 0xB6589EE08AC87C9
• Base-36: 68M04I42KHJD

Squares and roots of 821214162505729993

• 821214162505729993 squared (821214162505729993²) is 674392700699987509055284557819780049
• 821214162505729993 cubed (821214162505729993³) is 553820836905317671463558697876127716003059397442309657
• The square root of 821214162505729993 is 906208674.9230168305
• The cube root of 821214162505729993 is 936451.9036621299

Scales and comparisons

• 821,214,162,505,729,993 seconds is equal to 26,112,070,185 years, 25 weeks, 5 days, 33 minutes, 13 seconds.
• To count from 1 to 821,214,162,505,729,993 would take you about seventy-eight billion, three hundred thirty-six million, two hundred ten thousand, five hundred fifty-six 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 821214162505729993 cubic inches would be around 78037.7 feet tall.

Recreational maths with 821214162505729993

• 821214162505729993 backwards is 399927505261412128
• The number of decimal digits it has is: 18
• The sum of 821214162505729993's digits is 76
• More coming soon!