131582738533087128

Names of 131582738533087128

• Cardinal: 131582738533087128 can be written as One hundred thirty-one quadrillion, five hundred eighty-two trillion, seven hundred thirty-eight billion, five hundred thirty-three million, eighty-seven thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.31582738533087128 × 10¹⁷

Factors of 131582738533087128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 564694006237

Divisors of 131582738533087128

• Number of divisors d(n): 128
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 73 76 84 114 133 146 152 168 219 228 266 292 399 438 456 511 532 584 798 876 1022 1064 1387 1533 1596 1752 2044 2774 3066 3192 4088 4161 5548 6132 8322 9709 11096 12264 16644 19418 29127 33288 38836 58254 77672 116508 233016 564694006133 1129388012266 1694082018399 2258776024532 3388164036798 3952858042931 4517552049064 6776328073596 7905716085862 10729186116527 11858574128793 13552656147192 15811432171724 21458372233054 23717148257586 31622864343448 32187558349581 41222662447709 42916744466108 47434296515172 64375116699162 75104302815689 82445324895418 85833488932216 94868593030344 123667987343127 128750233398324 150208605631378 164890649790836 225312908447067 247335974686254 257500466796648 288558637133963 300417211262756 329781299581672 450625816894134 494671949372508 577117274267926 600834422525512 783230586506471 865675911401889 901251633788268 989343898745016 1154234548535852 1566461173012942 1731351822803778 1802503267576536 2308469097071704 2349691759519413 3132922346025884 3462703645607556 4699383519038826 5482614105545297 6265844692051768 6925407291215112 9398767038077652 10965228211090594 16447842316635891 18797534076155304 21930456422181188 32895684633271782 43860912844362376 65791369266543564 131582738533087128
• Sum of all divisors σ(n): 401158621957593600
• Sum of proper divisors (its aliquot sum) s(n): 269575883424506472
• 131582738533087128 is an abundant number, because the sum of its proper divisors (269575883424506472) is greater than itself. Its abundance is 137993144891419344

Bases of 131582738533087128

• Binary: 111010011011110011100110110110100110101100111011110011000₂
• Hexadecimal: 0x1D379CDB4D67798
• Base-36: ZZM6RL0YVFC

Squares and roots of 131582738533087128

• 131582738533087128 squared (131582738533087128²) is 17314017079866772073774814039288384
• 131582738533087128 cubed (131582738533087128³) is 2278225782377514183938352174169624873253715790321152
• The square root of 131582738533087128 is 362743350.7772225561
• The cube root of 131582738533087128 is 508627.2690023693

Scales and comparisons

• 131,582,738,533,087,128 seconds is equal to 4,183,924,073 years, 11 weeks, 2 days, 11 hours, 18 minutes, 48 seconds.
• To count from 1 to 131,582,738,533,087,128 would take you about twelve billion, five hundred fifty-one million, seven hundred seventy-two thousand, two hundred nineteen 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 131582738533087128 cubic inches would be around 42385.6 feet tall.

Recreational maths with 131582738533087128

• 131582738533087128 backwards is 821780335837285131
• The number of decimal digits it has is: 18
• The sum of 131582738533087128's digits is 75
• More coming soon!