138521204314399205352

Names of 138521204314399205352

• Cardinal: 138521204314399205352 can be written as One hundred thirty-eight quintillion, five hundred twenty-one quadrillion, two hundred four trillion, three hundred fourteen billion, three hundred ninety-nine million, two hundred five thousand, three hundred fifty-two.

Scientific notation

• Scientific notation: 1.38521204314399205352 × 10²⁰

Factors of 138521204314399205352

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3960633848717

Divisors of 138521204314399205352

• Number of divisors d(n): 128
• Complete list of divisors:
  1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 1999 2187 2916 3998 4374 5832 5997 7996 8748 11994 15992 17496 17991 23988 35982 47976 53973 71964 107946 143928 161919 215892 323838 431784 485757 647676 971514 1295352 1457271 1943028 2914542 3886056 4371813 5829084 8743626 11658168 17487252 34974504 3960633846713 7921267693426 11881901540139 15842535386852 23763803080278 31685070773704 35645704620417 47527606160556 71291409240834 95055212321112 106937113861251 142582818481668 213874227722502 285165636963336 320811341583753 427748455445004 641622683167506 855496910890008 962434024751259 1283245366335012 1924868049502518 2566490732670024 2887302074253777 3849736099005036 5774604148507554 7699472198010072 7917307059579287 8661906222761331 11549208297015108 15834614119158574 17323812445522662 23098416594030216 23751921178737861 31669228238317148 34647624891045324 47503842357475722 63338456476634296 69295249782090648 71255763536213583 95007684714951444 142511527072427166 190015369429902888 213767290608640749 285023054144854332 427534581217281498 570046108289708664 641301871825922247 855069162434562996 1282603743651844494 1710138324869125992 1923905615477766741 2565207487303688988 3847811230955533482 5130414974607377976 5771716846433300223 7695622461911066964 11543433692866600446 15391244923822133928 17315150539299900669 23086867385733200892 34630301078599801338 46173734771466401784 69260602157199602676 138521204314399205352
• Sum of all divisors σ(n): 389726370516657600000
• Sum of proper divisors (its aliquot sum) s(n): 251205166202258394648
• 138521204314399205352 is an abundant number, because the sum of its proper divisors (251205166202258394648) is greater than itself. Its abundance is 112683961887859189296

Bases of 138521204314399205352

• Binary: 1111000001001011110001011010110100000111011000100100110011111101000₂
• Hexadecimal: 0x7825E2D683B1267E8
• Base-36: T8F38SO908MI0

Squares and roots of 138521204314399205352

• 138521204314399205352 squared (138521204314399205352²) is 19188124044711529022851427941969065443904
• 138521204314399205352 cubed (138521204314399205352³) is 2657962051207521784779232154498171070157939486145500732574208
• The square root of 138521204314399205352 is 11769503146.4543653161
• The cube root of 138521204314399205352 is 5174146.8787687527

Scales and comparisons

• 138,521,204,314,399,205,352 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,521,204,314,399,205,352 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 138521204314399205352 cubic inches would be around 431178.9 feet tall.

Recreational maths with 138521204314399205352

• 138521204314399205352 backwards is 253502993413402125831
• 138521204314399205352 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 138521204314399205352's digits is 72
• More coming soon!