13584935712102080

Names of 13584935712102080

• Cardinal: 13584935712102080 can be written as Thirteen quadrillion, five hundred eighty-four trillion, nine hundred thirty-five billion, seven hundred twelve million, one hundred two thousand and eighty.

Scientific notation

• Scientific notation: 1.358493571210208 × 10¹⁶

Factors of 13584935712102080

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 217522607

Divisors of 13584935712102080

• Number of divisors d(n): 56
• Complete list of divisors:
  1 2 4 5 8 10 16 20 32 40 64 80 160 320 195341 390682 781364 976705 1562728 1953410 3125456 3906820 6250912 7813640 12501824 15627280 31254560 62509120 217327259 434654518 869309036 1086636295 1738618072 2173272590 3477236144 4346545180 6954472288 8693090360 13908944576 17386180720 34772361440 69544722880 42452924100319 84905848200638 169811696401276 212264620501595 339623392802552 424529241003190 679246785605104 849058482006380 1358493571210208 1698116964012760 2716987142420416 3396233928025520 6792467856051040 13584935712102080
• Sum of all divisors σ(n): 32349293916665040
• Sum of proper divisors (its aliquot sum) s(n): 18764358204562960
• 13584935712102080 is an abundant number, because the sum of its proper divisors (18764358204562960) is greater than itself. Its abundance is 5179422492460880

Bases of 13584935712102080

• Binary: 110000010000110110110101010011011010101001011011000000₂
• Hexadecimal: 0x30436D536A96C0
• Base-36: 3PRGHB6C88W

Squares and roots of 13584935712102080

• 13584935712102080 squared (13584935712102080²) is 184550478301946447418972340326400
• 13584935712102080 cubed (13584935712102080³) is 2507106383369632325478590265792857792897318912000
• The square root of 13584935712102080 is 116554432.4000682525
• The cube root of 13584935712102080 is 238608.4735975323

Scales and comparisons

• 13,584,935,712,102,080 seconds is equal to 431,958,934 years, 35 weeks, 2 days, 9 hours, 41 minutes, 20 seconds.
• To count from 1 to 13,584,935,712,102,080 would take you about one billion, two hundred ninety-five million, eight hundred seventy-six thousand, eight hundred 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 13584935712102080 cubic inches would be around 19884 feet tall.

Recreational maths with 13584935712102080

• 13584935712102080 backwards is 08020121753948531
• The number of decimal digits it has is: 17
• The sum of 13584935712102080's digits is 59
• More coming soon!