13977561430905504

Names of 13977561430905504

• Cardinal: 13977561430905504 can be written as Thirteen quadrillion, nine hundred seventy-seven trillion, five hundred sixty-one billion, four hundred thirty million, nine hundred five thousand, five hundred four.

Scientific notation

• Scientific notation: 1.3977561430905504 × 10¹⁶

Factors of 13977561430905504

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 5020675801365

Divisors of 13977561430905504

• Number of divisors d(n): 48
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 5020675801331 10041351602662 15062027403993 20082703205324 30124054807986 40165406410648 60248109615972 80330812821296 120496219231944 145599598238599 160661625642592 240992438463888 291199196477198 436798794715797 481984876927776 582398392954396 873597589431594 1164796785908792 1747195178863188 2329593571817584 3494390357726376 4659187143635168 6988780715452752 13977561430905504
• Sum of all divisors σ(n): 37956309058069920
• Sum of proper divisors (its aliquot sum) s(n): 23978747627164416
• 13977561430905504 is an abundant number, because the sum of its proper divisors (23978747627164416) is greater than itself. Its abundance is 10001186196258912

Bases of 13977561430905504

• Binary: 110001101010001000010010011111111010100101001010100000₂
• Hexadecimal: 0x31A8849FEA52A0
• Base-36: 3TMMR2Q0PEO

Squares and roots of 13977561430905504

• 13977561430905504 squared (13977561430905504²) is 195372223554737120471041377494016
• 13977561430905504 cubed (13977561430905504³) is 2730827256628941398803000071529437948889221464064
• The square root of 13977561430905504 is 118226737.3774033569
• The cube root of 13977561430905504 is 240885.3953178043

Scales and comparisons

• 13,977,561,430,905,504 seconds is equal to 444,443,218 years, 3 weeks, 3 days, 5 hours, 18 minutes, 24 seconds.
• To count from 1 to 13,977,561,430,905,504 would take you about one billion, three hundred thirty-three million, three hundred twenty-nine thousand, six 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 13977561430905504 cubic inches would be around 20073.8 feet tall.

Recreational maths with 13977561430905504

• 13977561430905504 backwards is 40550903416577931
• The number of decimal digits it has is: 17
• The sum of 13977561430905504's digits is 69
• More coming soon!