138755598519815122320

Names of 138755598519815122320

• Cardinal: 138755598519815122320 can be written as One hundred thirty-eight quintillion, seven hundred fifty-five quadrillion, five hundred ninety-eight trillion, five hundred nineteen billion, eight hundred fifteen million, one hundred twenty-two thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3875559851981512232 × 10²⁰

Factors of 138755598519815122320

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 21412901006144319

Divisors of 138755598519815122320

• Number of divisors d(n): 100
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 21412901006144309 42825802012288618 64238703018432927 85651604024577236 107064505030721545 128477406036865854 171303208049154472 192716109055298781 214129010061443090 256954812073731708 321193515092164635 342606416098308944 385432218110597562 428258020122886180 513909624147463416 578148327165896343 642387030184329270 770864436221195124 856516040245772360 963580545276493905 1027819248294926832 1156296654331792686 1284774060368658540 1541728872442390248 1713032080491544720 1734444981497689029 1927161090552987810 2312593308663585372 2569548120737317080 2890741635829481715 3083457744884780496 3468889962995378058 3854322181105975620 4625186617327170744 5139096241474634160 5781483271658963430 6937779925990756116 7708644362211951240 8672224907488445145 9250373234654341488 11562966543317926860 13875559851981512232 15417288724423902480 17344449814976890290 23125933086635853720 27751119703963024464 34688899629953780580 46251866173271707440 69377799259907561160 138755598519815122320
• Sum of all divisors σ(n): 481918750044283840860
• Sum of proper divisors (its aliquot sum) s(n): 343163151524468718540
• 138755598519815122320 is an abundant number, because the sum of its proper divisors (343163151524468718540) is greater than itself. Its abundance is 204407553004653596220

Bases of 138755598519815122320

• Binary: 1111000010110011110111010011011000111110010010011000010110110010000₂
• Hexadecimal: 0x7859EE9B1F24C2D90
• Base-36: TA776LVOTU100

Squares and roots of 138755598519815122320

• 138755598519815122320 squared (138755598519815122320²) is 19253116120592120564117256112556562182400
• 138755598519815122320 cubed (138755598519815122320³) is 2671477650684260714228944235881739983414454133962942151168000
• The square root of 138755598519815122320 is 11779456630.9238187339
• The cube root of 138755598519815122320 is 5177063.6563443209

Scales and comparisons

• 138,755,598,519,815,122,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,755,598,519,815,122,320 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138755598519815122320 cubic inches would be around 431422 feet tall.

Recreational maths with 138755598519815122320

• 138755598519815122320 backwards is 023221518915895557831
• 138755598519815122320 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 138755598519815122320's digits is 90
• More coming soon!