137217112416493928

Names of 137217112416493928

• Cardinal: 137217112416493928 can be written as One hundred thirty-seven quadrillion, two hundred seventeen trillion, one hundred twelve billion, four hundred sixteen million, four hundred ninety-three thousand, nine hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37217112416493928 × 10¹⁷

Factors of 137217112416493928

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 173

Divisors of 137217112416493928

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 151 182 196 302 343 364 392 604 637 686 728 1057 1208 1274 1372 1963 2114 2401 2548 2744 3926 4228 4459 4802 5096 7399 7852 8456 8918 9604 13741 14798 15704 16807 17836 19208 22801 27482 29596 31213 33614 35672 45602 51793 54964 59192 62426 67228 91204 96187 103586 109928 124852 134456 159607 182408 192374 207172 218491 249704 296413 319214 362551 384748 414344 436982 592826 638428 673309 725102 769496 873964 1117249 1185652 1276856 1346618 1450204 1747928 2074891 2234498 2371304 2537857 2693236 2900408 3442951 4149782 4468996 4713163 5075714 5386472 6885902 7820743 8299564 8937992 9426326 10151428 13771804 14524237 15641486 16599128 18852652 20302856 24100657 27543608 29048474 31282972 32992141 37705304 44758363 48201314 54745201 58096948 62565944 65984282 89516726 96402628 101669659 109490402 116193896 131968564 168704599 179033452 192805256 203339318 218980804 263937128 313308541 337409198 358066904 383216407 406678636 437961608 519885601 626617082 674818396 711687613 766432814 813357272 1039771202 1180932193 1253234164 1349636792 1423375226 1532865628 2079542404 2193159787 2361864386 2506468328 2846750452 3065731256 3639199207 4159084808 4386319574 4723728772 4981813291 5693500904 6758512813 7278398414 8266525351 8772639148 9447457544 9963626582 13517025626 14556796828 15352118509 16533050702 17545278296 19927253164 25474394449 27034051252 29113593656 30704237018 33066101404 39854506328 47309589691 50948788898 54068102504 57865677457 61408474036 66132202808 78502725751 94619179382 101897577796 107464829563 115731354914 122816948072 157005451502 178320761143 189238358764 203795155592 214929659126 231462709828 314010903004 331167127837 356641522286 378476717528 429859318252 462925419656 549519080257 628021806008 662334255674 713283044572 752253806941 859718636504 1020535434763 1099038160514 1248245328001 1324668511348 1426566089144 1504507613882 2041070869526 2198076321028 2318169894859 2496490656002 2649337022696 3009015227764 3846633561799 4082141739052 4396152642056 4636339789718 4992981312004 6018030455528 7143748043341 7693267123598 8164283478104 8737717296007 9272679579436 9985962624008 14287496086682 15386534247196 16227189264013 17475434592014 18545359158872 26926434932593 28574992173364 30773068494392 32454378528026 34950869184028 50006236303387 53852869865186 57149984346728 64908757056052 69901738368056 100012472606774 107705739730372 113590324848091 129817514112104 188485044528151 200024945213548 215411479460744 227180649696182 350043654123709 376970089056302 400049890427096 454361299392364 700087308247418 753940178112604 908722598784728 1319395311697057 1400174616494836 1507880356225208 2450305578865963 2638790623394114 2800349232989672 4900611157731926 5277581246788228 9801222315463852 10555162493576456 17152139052061741 19602444630927704 34304278104123482 68608556208246964 137217112416493928
• Sum of all divisors σ(n): 325404097795486080
• Sum of proper divisors (its aliquot sum) s(n): 188186985378992152
• 137217112416493928 is an abundant number, because the sum of its proper divisors (188186985378992152) is greater than itself. Its abundance is 50969872962498224

Bases of 137217112416493928

• Binary: 111100111011111100011110010011010101100001010000101101000₂
• Hexadecimal: 0x1E77E3C9AB0A168
• Base-36: 11J3EN7NXCO8

Squares and roots of 137217112416493928

• 137217112416493928 squared (137217112416493928²) is 18828535939920732104859064060869184
• 137217112416493928 cubed (137217112416493928³) is 2583597332706099260461199660443921115391645538314752
• The square root of 137217112416493928 is 370428282.4198146023
• The cube root of 137217112416493928 is 515785.8520071173

Scales and comparisons

• 137,217,112,416,493,928 seconds is equal to 4,363,079,734 years, 23 weeks, 2 days, 1 hour, 12 minutes, 8 seconds.
• To count from 1 to 137,217,112,416,493,928 would take you about thirteen billion, eighty-nine million, two hundred thirty-nine thousand, two hundred three 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 137217112416493928 cubic inches would be around 42982.2 feet tall.

Recreational maths with 137217112416493928

• 137217112416493928 backwards is 829394614211712731
• The number of decimal digits it has is: 18
• The sum of 137217112416493928's digits is 71
• More coming soon!