137504633722585890

Names of 137504633722585890

• Cardinal: 137504633722585890 can be written as One hundred thirty-seven quadrillion, five hundred four trillion, six hundred thirty-three billion, seven hundred twenty-two million, five hundred eighty-five thousand, eight hundred ninety.

Scientific notation

• Scientific notation: 1.3750463372258589 × 10¹⁷

Factors of 137504633722585890

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 744

Divisors of 137504633722585890

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 5 6 10 15 30 47 94 141 149 191 235 282 298 347 382 447 470 573 694 705 745 894 955 1041 1146 1410 1490 1735 1910 2082 2235 2865 3470 4470 5205 5730 7003 8977 10410 14006 16309 17954 21009 22201 26931 28459 32618 35015 36481 42018 44402 44885 48927 51703 53862 56918 66277 66603 70030 72962 81545 85377 89770 97854 103406 105045 109443 111005 120409 132554 133206 134655 142295 155109 163090 170754 182405 198831 210090 218886 222010 240818 244635 258515 269310 284590 310218 331385 333015 361227 364810 397662 426885 489270 517030 547215 602045 662770 666030 722454 775545 853770 994155 1043447 1094430 1204090 1337573 1551090 1714607 1806135 1988310 2086894 2430041 2675146 3115019 3130341 3429214 3612270 4012719 4240391 4860082 5143821 5217235 5435669 5659223 6230038 6260682 6687865 7290123 7703747 8025438 8480782 8573035 9345057 9875273 10287642 10434470 10871338 11318446 12150205 12658907 12721173 13375730 14580246 15407494 15575095 15651705 16307007 16977669 17146070 17940941 18690114 19750546 20063595 21201955 22998119 23111241 24300410 25317814 25442346 25719105 27178345 28296115 29625819 31150190 31303410 32614014 33955338 35881882 36450615 37976721 38518735 40127190 42403910 45996238 46222482 46725285 49376365 51438210 53822823 54356690 56592230 59251638 63294535 63605865 68994357 72901230 75953442 77037470 81535035 84888345 89704705 93450570 98752730 107645646 114990595 115556205 126589070 127211730 137988714 148129095 163070070 169776690 179409410 189883605 199298377 229981190 231112410 255476443 269114115 296258190 344971785 362076109 379767210 398596754 464137831 510952886 538228230 594968629 597895131 689943570 724152218 766429329 809914681 843224227 928275662 996491885 1080911593 1086228327 1189937258 1195790262 1277382215 1392413493 1471415677 1532858658 1619829362 1686448454 1784905887 1810380545 1886177143 1992983770 2161823186 2172456654 2320689155 2429744043 2529672681 2554764430 2673200209 2784826986 2942831354 2974843145 2989475655 3242734779 3426719731 3569811774 3620761090 3772354286 3832146645 4049573405 4216121135 4392640729 4414247031 4641378310 4859488086 5059345362 5346400418 5404557965 5431141635 5658531429 5949686290 5978951310 6485469558 6853439462 6962067465 7357078385 7664293290 8019600627 8099146810 8432242270 8785281458 8828494062 8924529435 9430885715 10280159193 10809115930 10862283270 11317062858 12148720215 12648363405 13177922187 13366001045 13924134930 14714156770 16039201254 16213673895 17133598655 17849058870 18861771430 20560318386 21963203645 22071235155 24297440430 25296726810 26355844374 26732002090 28292657145 32427347790 34267197310 38065990007 40098003135 43926407290 44142470310 51400795965 56585314290 65889610935 69156536819 76131980014 80196006270 88650325721 102801591930 114197970021 125640409823 131779221870 138313073638 161055827357 177300651442 190329950035 206454114263 207469610457 228395940042 251280819646 265950977163 281040394307 322111654714 345782684095 376921229469 380659900070 412908228526 414939220914 443251628605 483167482071 510581239919 531901954326 562080788614 570989850105 619362342789 628202049115 654503468621 691565368190 753842458938 805279136785 843121182921 886503257210 966334964142 1021162479838 1032270571315 1037348052285 1141979700210 1238724685578 1256404098230 1309006937242 1329754885815 1405201971535 1531743719757 1610558273570 1686242365842 1884606147345 1963510405863 2064541142630 2074696104570 2415837410355 2552906199595 2659509771630 2810403943070 3063487439514 3096811713945 3272517343105 3769212294690 3927020811726 4215605914605 4831674820710 5105812399190 6193623427890 6545034686210 7658718598785 8431211829210 9817552029315 13208898532429 15317437197570 19635104058630 23997318276193 26417797064858 30761663025187 39626695597287 47994636552386 61523326050374 66044492662145 71991954828579 79253391194574 92284989075561 97521016824529 119986591380965 132088985324290 143983909657158 153808315125935 184569978151122 195042033649058 198133477986435 239973182761930 292563050473587 307616630251870 359959774142895 396266955972870 461424945377805 487605084122645 585126100947174 719919548285790 922849890755610 975210168245290 1462815252367935 2925630504735870 4583487790752863 9166975581505726 13750463372258589 22917438953764315 27500926744517178 45834877907528630 68752316861292945 137504633722585890
• Sum of all divisors σ(n): 342081388252146816
• Sum of proper divisors (its aliquot sum) s(n): 204576754529560926
• 137504633722585890 is an abundant number, because the sum of its proper divisors (204576754529560926) is greater than itself. Its abundance is 67072120806975036

Bases of 137504633722585890

• Binary: 111101000100000111011110001100000000000010100001100100010₂
• Hexadecimal: 0x1E883BC60014322
• Base-36: 11LXBOODZRJ6

Squares and roots of 137504633722585890

• 137504633722585890 squared (137504633722585890²) is 18907524295182504752987108427092100
• 137504633722585890 cubed (137504633722585890³) is 2599872202809964254611320907364926369016145190469000
• The square root of 137504633722585890 is 370816172.4124042165
• The cube root of 137504633722585890 is 516145.8556020683

Scales and comparisons

• 137,504,633,722,585,890 seconds is equal to 4,372,222,022 years, 32 weeks, 1 day, 15 hours, 11 minutes, 30 seconds.
• To count from 1 to 137,504,633,722,585,890 would take you about thirteen billion, one hundred sixteen million, six hundred sixty-six thousand and sixty-seven 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 137504633722585890 cubic inches would be around 43012.2 feet tall.

Recreational maths with 137504633722585890

• 137504633722585890 backwards is 098585227336405731
• The number of decimal digits it has is: 18
• The sum of 137504633722585890's digits is 78
• More coming soon!