830138923681920801

Names of 830138923681920801

• Cardinal: 830138923681920801 can be written as Eight hundred thirty quadrillion, one hundred thirty-eight trillion, nine hundred twenty-three billion, six hundred eighty-one million, nine hundred twenty thousand, eight hundred one.

Scientific notation

• Scientific notation: 8.30138923681920801 × 10¹⁷

Factors of 830138923681920801

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 7787363

Divisors of 830138923681920801

• Number of divisors d(n): 45
• Complete list of divisors:
  1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 13689 7787347 23362041 70086123 101235511 210258369 303706533 630775107 911119599 1316061643 2733358797 3948184929 8200076391 11844554787 35533664361 106600993083 60642773298409 181928319895227 545784959685681 788356052879317 1637354879057043 2365068158637951 4912064637171129 7095204475913853 10248628687431121 21285613427741559 30745886062293363 63856840283224677 92237658186880089 276712974560640267 830138923681920801
• Sum of all divisors σ(n): 1342813101581917251
• Sum of proper divisors (its aliquot sum) s(n): 512674177899996450
• 830138923681920801 is a deficient number, because the sum of its proper divisors (512674177899996450) is less than itself. Its deficiency is 317464745781924351

Bases of 830138923681920801

• Binary: 101110000101001111101111001111101100010010010011011100100001₂
• Hexadecimal: 0xB853EF3EC493721
• Base-36: 6B1VOSSOD929

Squares and roots of 830138923681920801

• 830138923681920801 squared (830138923681920801²) is 689130632611777928091890624836481601
• 830138923681920801 cubed (830138923681920801³) is 572074161632582519325633855094096343856339750375682401
• 830138923681920801 is a perfect square number. Its square root is 911119599
• The cube root of 830138923681920801 is 939832.0673603399

Scales and comparisons

• 830,138,923,681,920,801 seconds is equal to 26,395,849,984 years, 41 weeks, 3 days, 16 hours, 13 minutes, 21 seconds.
• To count from 1 to 830,138,923,681,920,801 would take you about seventy-nine billion, one hundred eighty-seven million, five hundred forty-nine thousand, nine hundred fifty-four 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 830138923681920801 cubic inches would be around 78319.3 feet tall.

Recreational maths with 830138923681920801

• 830138923681920801 backwards is 108029186329831038
• The number of decimal digits it has is: 18
• The sum of 830138923681920801's digits is 72
• More coming soon!