138402207918324

Names of 138402207918324

• Cardinal: 138402207918324 can be written as One hundred thirty-eight trillion, four hundred two billion, two hundred seven million, nine hundred eighteen thousand, three hundred twenty-four.

Scientific notation

• Scientific notation: 1.38402207918324 × 10¹⁴

Factors of 138402207918324

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 292856

Divisors of 138402207918324

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 9 12 14 18 21 28 31 36 41 42 49 62 63 82 84 93 98 123 124 126 147 164 186 196 211 217 246 252 279 287 294 369 372 422 434 441 492 558 574 588 633 651 738 844 861 868 882 1116 1148 1266 1271 1302 1476 1477 1519 1722 1764 1899 1953 2009 2532 2542 2583 2604 2954 3038 3444 3798 3813 3906 4018 4431 4557 5084 5166 5908 6027 6076 6541 7596 7626 7812 8036 8651 8862 8897 9114 10332 10339 11439 12054 13082 13293 13671 15252 17302 17724 17794 18081 18228 19623 20678 22878 24108 25953 26164 26586 26691 27342 31017 34604 35588 36162 39246 41356 45756 45787 51906 53172 53382 54684 58869 60557 62034 62279 72324 77859 78492 80073 91574 93051 103812 106764 117738 121114 124068 124558 137361 155718 160146 181671 183148 186102 186837 235476 242228 249116 268181 274722 292561 311436 320292 320509 363342 372204 373674 412083 423899 536362 545013 549444 560511 585122 641018 726684 747348 804543 824166 847798 877683 961527 1072724 1090026 1121022 1170244 1271697 1282036 1609086 1648332 1695596 1755366 1877267 1923054 2047927 2180052 2242044 2413629 2543394 2633049 2884581 3218172 3510732 3754534 3815091 3846108 4095854 4827258 5086788 5266098 5631801 5769162 6143781 7509068 7630182 8191708 9069391 9654516 10532196 11263602 11538324 11995001 12287562 13140869 14335489 15260364 16895403 18138782 18431343 22527204 23990002 24575124 26281738 27208173 28670978 33790806 35985003 36277564 36862686 39422607 43006467 47980004 52563476 54416346 57341956 61730371 63485737 67581612 71970006 73725372 78845214 81624519 83965007 86012934 107955009 108832692 118267821 123460742 126971474 129019401 143940012 157690428 163249038 167930014 172025868 185191113 190457211 215910018 236535642 246921484 251895021 253942948 258038802 326498076 335860028 370382226 371845031 380914422 431820036 432112597 444400159 473071284 503790042 516077604 555573339 571371633 587755049 740764452 743690062 755685063 761828844 864225194 888800318 1007580084 1111146678 1115535093 1142743266 1175510098 1296337791 1333200477 1487380124 1511370126 1728450388 1763265147 1777600636 1913641501 2222293356 2231070186 2285486532 2351020196 2530945211 2592675582 2602915217 2666400954 3022740252 3024788179 3346605279 3526530294 3827283002 3889013373 3999601431 4462140372 5061890422 5185351164 5205830434 5289795441 5332801908 5740924503 6049576358 6693210558 7053060588 7592835633 7654566004 7778026746 7808745651 7999202862 9074364537 10123780844 10411660868 10579590882 11481849006 12099152716 13386421116 13395490507 15185671266 15556053492 15617491302 15998405724 17222773509 17716616477 18148729074 18220406519 21159181764 22778506899 22963698012 23426236953 26790981014 27223093611 30371342532 31234982604 34445547018 35433232954 36297458148 36440813038 40186471521 45557013798 46852473906 53149849431 53581962028 54446187222 54661219557 68891094036 70866465908 72881626076 78459301541 80372943042 91114027596 93704947812 93768433549 106299698862 108892374444 109322439114 120559414563 124016315339 156918603082 159449548293 160745886084 163983658671 187536867098 212599397724 218644878228 235377904623 241118829126 248032630678 281305300647 313837206164 318899096586 327967317342 372048946017 375073734196 470755809246 482237658252 496065261356 549215110787 562610601294 637798193172 655934634684 706133713869 744097892034 843915901941 941511618492 1098430221574 1116146838051 1125221202588 1412267427738 1488195784068 1647645332361 1687831803882 2196860443148 2232293676102 2824534855476 3295290664722 3375663607764 3844505775509 4464587352204 4942935997083 6590581329444 7689011551018 9885871994166 11533517326527 15378023102036 19771743988332 23067034653054 34600551979581 46134069306108 69201103959162 138402207918324
• Sum of all divisors σ(n): 432383680415232
• Sum of proper divisors (its aliquot sum) s(n): 293981472496908
• 138402207918324 is an abundant number, because the sum of its proper divisors (293981472496908) is greater than itself. Its abundance is 155579264578584

Bases of 138402207918324

• Binary: 11111011110000001000110011100000110100011110100₂
• Hexadecimal: 0x7DE0467068F4
• Base-36: 1D253H5LH0

Squares and roots of 138402207918324

• 138402207918324 squared (138402207918324²) is 19155171156666986525454968976
• 138402207918324 cubed (138402207918324³) is 2651117981136107096437283119396838961916224
• The square root of 138402207918324 is 11764446.7748519309
• The cube root of 138402207918324 is 51726.6484039229

Scales and comparisons

• 138,402,207,918,324 seconds is equal to 4,400,762 years, 5 weeks, 3 days, 11 hours, 5 minutes, 24 seconds.
• To count from 1 to 138,402,207,918,324 would take you about eleven million, one thousand, nine hundred 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 138402207918324 cubic inches would be around 4310.6 feet tall.

Recreational maths with 138402207918324

• 138402207918324 backwards is 423819702204831
• The number of decimal digits it has is: 15
• The sum of 138402207918324's digits is 54
• More coming soon!