31827972998386593

Names of 31827972998386593

• Cardinal: 31827972998386593 can be written as Thirty-one quadrillion, eight hundred twenty-seven trillion, nine hundred seventy-two billion, nine hundred ninety-eight million, three hundred eighty-six thousand, five hundred ninety-three.

Scientific notation

• Scientific notation: 3.1827972998386593 × 10¹⁶

Factors of 31827972998386593

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 1515877

Divisors of 31827972998386593

• Number of divisors d(n): 64
• Complete list of divisors:
  1 3 7 9 21 27 63 189 487 1461 3409 4383 10227 13149 30681 92043 279883 839649 1235497 1959181 2518947 3706491 5877543 7556841 8648479 11119473 17632629 25945437 33358419 52897887 77836311 136303021 233508933 408909063 601687039 954121147 1226727189 1805061117 2862363441 3680181567 4211809273 5415183351 8587090323 12635427819 16245550053 25761270969 37906283457 113718850371 345794606851 1037383820553 2420562247957 3112151461659 7261686743871 9336454384977 21785060231613 65355180694839 168401973536437 505205920609311 1178813814755059 1515617761827933 3536441444265177 4546853285483799 10609324332795531 31827972998386593
• Sum of all divisors σ(n): 53999522447749120
• Sum of proper divisors (its aliquot sum) s(n): 22171549449362527
• 31827972998386593 is a deficient number, because the sum of its proper divisors (22171549449362527) is less than itself. Its deficiency is 9656423549024066

Bases of 31827972998386593

• Binary: 1110001000100110101111101110000011111010101001110100001₂
• Hexadecimal: 0x71135F707D53A1
• Base-36: 8PE2OXXBUE9

Squares and roots of 31827972998386593

• 31827972998386593 squared (31827972998386593²) is 1013019865186026051134581082147649
• 31827972998386593 cubed (31827972998386593³) is 32242368915970063791177875315823263325472408069857
• The square root of 31827972998386593 is 178403960.1533177655
• The cube root of 31827972998386593 is 316910.2798775447

Scales and comparisons

• 31,827,972,998,386,593 seconds is equal to 1,012,031,090 years, 50 weeks, 22 hours, 56 minutes, 33 seconds.
• To count from 1 to 31,827,972,998,386,593 would take you about three billion, thirty-six million, ninety-three thousand, two hundred seventy-two 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 31827972998386593 cubic inches would be around 26409.2 feet tall.

Recreational maths with 31827972998386593

• 31827972998386593 backwards is 39568389927972813
• The number of decimal digits it has is: 17
• The sum of 31827972998386593's digits is 99
• More coming soon!