138764638438893047

Names of 138764638438893047

• Cardinal: 138764638438893047 can be written as One hundred thirty-eight quadrillion, seven hundred sixty-four trillion, six hundred thirty-eight billion, four hundred thirty-eight million, eight hundred ninety-three thousand and forty-seven.

Scientific notation

• Scientific notation: 1.38764638438893047 × 10¹⁷

Factors of 138764638438893047

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 71

Divisors of 138764638438893047

• Number of divisors d(n): 140
• Complete list of divisors:
  1 7 23 41 49 161 287 343 529 943 1127 1681 2009 2401 3703 6601 7889 11767 12167 14063 21689 25921 38663 46207 55223 68921 82369 85169 98441 151823 181447 270641 323449 482447 498847 576583 596183 889249 1062761 1270129 1585183 1894487 2264143 2825761 3377129 3491929 4036081 4173281 6224743 7439327 11096281 13261409 19780327 20452727 23639903 24443503 29212967 36459209 43573201 52075289 64992503 77673967 92829863 115856201 138462289 143169089 165479321 171104521 255214463 305012407 454947521 543717769 810993407 838561807 969236023 1002183623 1197731647 1494827569 1786501241 2135086849 2664692623 3184632647 3806024383 4750104241 5676953849 5869932649 6784652161 7015285361 10463792983 12505508687 18652848361 22292428529 33250729687 34381034087 39738676943 41089528543 49106997527 61287930329 73246550881 87538560809 109252397543 130569938527 156046999703 232755107809 240667238609 278170738601 287626699801 429015512303 512725856167 764766782801 913989569689 1409622397567 1629285754663 1684670670263 2013386898607 2512805143489 3003108586121 3589080993169 5353367479607 6397926987823 9867356782969 11405000282641 11792694691841 17589636004423 21021760102847 37473572357249 57794518300247 69071497480783 82548862842887 123127452030961 147152320719929 262315006500743 404561628101729 483500482365481 861892164216727 2831931396712103 3384503376558367 6033245149517089 19823519776984721 138764638438893047
• Sum of all divisors σ(n): 173471137321845840
• Sum of proper divisors (its aliquot sum) s(n): 34706498882952793
• 138764638438893047 is a deficient number, because the sum of its proper divisors (34706498882952793) is less than itself. Its deficiency is 104058139555940254

Bases of 138764638438893047

• Binary: 111101100111111011011010000010101100010010010010111110111₂
• Hexadecimal: 0x1ECFDB4158925F7
• Base-36: 11YBYIUPQ3NB

Squares and roots of 138764638438893047

• 138764638438893047 squared (138764638438893047²) is 19255624881076713767971078704944209
• 138764638438893047 cubed (138764638438893047³) is 2671999824537563112186894277332769712771119853014823
• The square root of 138764638438893047 is 372511259.4793519083
• The cube root of 138764638438893047 is 517717.6082367021
• Being both a perfect square and a perfect cube, 138764638438893047 is also a perfect sixth number.

Scales and comparisons

• 138,764,638,438,893,047 seconds is equal to 4,412,286,275 years, 7 weeks, 4 days, 20 hours, 30 minutes, 47 seconds.
• To count from 1 to 138,764,638,438,893,047 would take you about thirteen billion, two hundred thirty-six million, eight hundred fifty-eight thousand, eight hundred twenty-five 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 138764638438893047 cubic inches would be around 43143.1 feet tall.

Recreational maths with 138764638438893047

• 138764638438893047 backwards is 740398834836467831
• The number of decimal digits it has is: 18
• The sum of 138764638438893047's digits is 92
• More coming soon!