138325851320653689

Names of 138325851320653689

• Cardinal: 138325851320653689 can be written as One hundred thirty-eight quadrillion, three hundred twenty-five trillion, eight hundred fifty-one billion, three hundred twenty million, six hundred fifty-three thousand, six hundred eighty-nine.

Scientific notation

• Scientific notation: 1.38325851320653689 × 10¹⁷

Factors of 138325851320653689

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 4864982

Divisors of 138325851320653689

• Number of divisors d(n): 384
• Complete list of divisors:
  1 3 7 11 19 21 31 33 49 57 73 77 93 133 147 209 217 219 231 341 399 409 511 539 589 627 651 803 931 1023 1227 1387 1463 1519 1533 1617 1767 2263 2387 2409 2793 2863 3577 4123 4161 4389 4499 4557 5621 6479 6789 7161 7771 8589 9709 10241 10731 12369 12679 13497 15257 15841 16709 16863 19437 20041 23313 24893 28861 29127 29857 30723 31493 38037 39347 42997 45353 45771 47523 50127 54397 60123 67963 74679 85481 86583 88753 89571 94479 106799 110887 118041 128991 136059 139469 163191 174251 203889 208999 220451 240901 256443 266259 300979 317471 320397 328427 332661 380779 418407 472967 522753 567283 598367 621271 626997 661353 722703 747593 902937 925567 952413 976283 985281 1142337 1219757 1418901 1462993 1686307 1701849 1795101 1863813 2106853 2242779 2298989 2649911 2776701 2928849 3310769 3659271 3970981 4188569 4388979 4864429 5058921 6240113 6320559 6478969 6833981 6896967 7949733 9932307 10181237 11804149 11912943 12565707 14593287 16092923 17585773 18549377 18720339 19436907 20501943 23175383 27796867 30543711 34051003 35412447 43680791 45352783 48278769 52757319 53508719 55648131 69526149 71268659 83390601 92424151 102153009 123100411 129845639 131042373 136058349 150797299 160526157 193443503 213805977 238357021 277272453 305765537 355103317 369301233 374561033 389536917 452391897 498880613 580330509 646969057 715071063 861702877 917296611 1016665661 1055581093 1065309951 1123683099 1354104521 1496641839 1658770289 1940907171 1989551461 2485723219 2585108631 2621927231 2865148681 3049996983 3166743279 3906136487 4062313563 4528783399 4976310867 5968654383 6746963023 7116659627 7389067651 7457169657 7865781693 8595446043 9478731647 11008202827 11611392023 11718409461 13586350197 13926860227 17400062533 20056040767 20240889069 21349978881 21885066071 22167202953 27342955409 28436194941 31516635491 33024608481 34834176069 37801477759 41780580681 47228741161 49816617389 52200187599 60168122301 61676095291 65655198213 74216593253 77057419789 81279744161 82028866227 94549906473 97488021589 113404433277 121090231097 140392285369 141686223483 145237256653 149449852167 153195462497 185028285873 191400687863 209155853713 220616448437 222649779759 231172259367 243839232483 264610344313 292464064767 330601188127 363270693291 415816255349 421176856107 431732667037 435711769959 459586387491 519516152771 539401938523 574202063589 627467561139 661849345311 678437048201 793831032939 847631617679 991803564381 1016660796571 1072368237479 1171845810529 1247448766047 1295198001111 1464090975991 1544315139059 1558548458313 1597609823183 1618205815569 1852272410191 2035311144603 2300714390843 2542894853037 2759507876407 2910713787443 3022128669259 3049982389713 3217104712437 3515537431587 3636613069397 4392272927973 4502354956243 4632945417177 4749059337407 4792829469549 5556817230573 5933421323753 6902143172529 7116625575997 8202920673703 8278523629221 8732141362329 9066386007777 10248636831937 10909839208191 11183268762281 12890303915819 13507064868729 14247178012221 16105000735901 17800263971259 19316555134849 20374996512101 21349876727991 24608762021109 30354586640477 30745910495811 31516484693701 33243415361849 33549806286843 38670911747457 48315002207703 49525904518673 57420444715921 57949665404547 61124989536303 78282881335967 85544744168617 90232127410733 91063759921431 94549454081103 99730246085547 112735005151307 135215885943943 148577713556019 172261334147763 212482106483339 220615392855907 234848644007901 256634232505851 270696382232199 338205015453921 346681331630711 405647657831829 598813209180319 631624891875131 637446319450017 661846178567721 940992185854787 1040043994892133 1487374745383373 1796439627540957 1894874675625393 2426769321414977 2822976557564361 4191692464262233 4462124236150119 6586945300983509 7280307964244931 12575077392786699 19760835902950527 46108617106884563 138325851320653689
• Sum of all divisors σ(n): 258430401128448000
• Sum of proper divisors (its aliquot sum) s(n): 120104549807794311
• 138325851320653689 is a deficient number, because the sum of its proper divisors (120104549807794311) is less than itself. Its deficiency is 18221301512859378

Bases of 138325851320653689

• Binary: 111101011011011101010000011111111001110001001011101111001₂
• Hexadecimal: 0x1EB6EA0FF389779
• Base-36: 11U0F6U0O86X

Squares and roots of 138325851320653689

• 138325851320653689 squared (138325851320653689²) is 19134041143583589917247466269308721
• 138325851320653689 cubed (138325851320653689³) is 2646732530390614143106132136124528799203479868521769
• The square root of 138325851320653689 is 371921834.9608606793
• The cube root of 138325851320653689 is 517171.3411098263

Scales and comparisons

• 138,325,851,320,653,689 seconds is equal to 4,398,334,202 years, 2 weeks, 2 days, 14 hours, 28 minutes, 9 seconds.
• To count from 1 to 138,325,851,320,653,689 would take you about thirteen billion, one hundred ninety-five million, two thousand, six hundred six 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 138325851320653689 cubic inches would be around 43097.6 feet tall.

Recreational maths with 138325851320653689

• 138325851320653689 backwards is 986356023158523831
• The number of decimal digits it has is: 18
• The sum of 138325851320653689's digits is 78
• More coming soon!