138105585733331538
138,105,585,733,331,538 is an even composite number composed of five prime numbers multiplied together.
What does the number 138105585733331538 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 640 divisors.
138105585733331538 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138105585733331538:
2 × 39 × 73 × 31 × 6913
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 31 × 691 × 691 × 691)See below for interesting mathematical facts about the number 138105585733331538 from the Numbermatics database.
Names of 138105585733331538
- Cardinal: 138105585733331538 can be written as One hundred thirty-eight quadrillion, one hundred five trillion, five hundred eighty-five billion, seven hundred thirty-three million, three hundred thirty-one thousand, five hundred thirty-eight.
Scientific notation
- Scientific notation: 1.38105585733331538 × 1017
Factors of 138105585733331538
Divisors of 138105585733331538
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 81 93 98 126 147 162 186 189 217 243 279 294 343 378 434 441 486 558 567 651 686 691 729 837 882 1029 1134 1302 1323 1382 1458 1519 1674 1701 1953 2058 2073 2187 2511 2646 3038 3087 3402 3906 3969 4146 4374 4557 4837 5022 5103 5859 6174 6219 6561 7533 7938 9114 9261 9674 10206 10633 11718 11907 12438 13122 13671 14511 15066 15309 17577 18522 18657 19683 21266 21421 22599 23814 27342 27783 29022 30618 31899 33859 35154 35721 37314 39366 41013 42842 43533 45198 45927 52731 55566 55971 63798 64263 67718 67797 71442 82026 83349 87066 91854 95697 101577 105462 107163 111942 123039 128526 130599 135594 137781 149947 158193 166698 167913 191394 192789 203154 203391 214326 237013 246078 250047 261198 275562 287091 299894 304731 316386 321489 335826 369117 385578 391797 406782 449841 474026 474579 477481 500094 503739 574182 578367 609462 610173 642978 711039 738234 750141 783594 861273 899682 914193 949158 954962 964467 1007478 1049629 1107351 1156734 1175391 1220346 1349523 1422078 1423737 1432443 1500282 1511217 1722546 1735101 1828386 1928934 2099258 2133117 2214702 2250423 2350782 2583819 2699046 2742579 2847474 2864886 3022434 3148887 3322053 3342367 3470202 3526173 4048569 4266234 4271211 4297329 4500846 4533651 5167638 5205303 5485158 6297774 6399351 6644106 6684734 6751269 7052346 7347403 7751457 8097138 8227737 8542422 8594658 9067302 9446661 9966159 10027101 10410606 10578519 12145707 12798702 12891987 13502538 13600953 14694806 14801911 15502914 15615909 16455474 18893322 19198053 19932318 20054202 21157038 22042209 23254371 23396569 24291414 24683211 25783974 27201906 28339983 29603822 29898477 30081303 31231818 31735557 36437121 38396106 38675961 44084418 44405733 46508742 46793138 46847727 49366422 56679966 57594159 59796954 60162606 63471114 66126627 69763113 70189707 72874242 74049633 77351922 85019949 88811466 90243909 93695454 95206671 103613377 109311363 115188318 116027883 132253254 133217199 139526226 140379414 140543181 148099266 163775983 170039898 172782477 180487818 190413342 198379881 207226754 209289339 210569121 218622726 222148899 232055766 255059847 266434398 270731727 281086362 310840131 327551966 327934089 329939371 345564954 348083649 396759762 399651597 418578678 421138242 421629543 444297798 491327949 510119694 518347431 541463454 595139643 621680262 631707363 655868178 659878742 666446697 696167298 725293639 765179541 799303194 812195181 843259086 932520393 982655898 983802267 989818113 1036694862 1044250947 1190279286 1198954791 1263414726 1332893394 1450587278 1473983847 1530359082 1555042293 1624390362 1785418929 1865040786 1895122089 1967604534 1979636226 2088501894 2175880917 2295538623 2309575597 2397909582 2436585543 2797561179 2947967694 2951406801 2969454339 3110084586 3132752841 3570837858 3596864373 3790244178 4351761834 4421951541 4591077246 4619151194 4665126879 4873171086 5077055473 5356256787 5595122358 5685366267 5902813602 5938908678 6265505682 6527642751 6886615869 6928726791 7193728746 7309756629 8392683537 8843903082 8908363017 9330253758 9398258523 10154110946 10228120501 10712513574 10790593119 11370732534 13055285502 13265854623 13773231738 13857453582 14619513258 15231166419 16068770361 16167029179 16785367074 17056098801 17816726034 18796517046 19582928253 20456241002 20659847607 20786180373 21581186238 21929269887 25178050611 26531709246 26725089051 30462332838 30684361503 32137540722 32334058358 32371779357 34112197602 39165856506 39797563869 41319695214 41572360746 43858539774 45693499257 48206311083 48501087537 50356101222 51168296403 53450178102 58748784759 61368723006 62358541119 64743558714 65787809661 71596843507 75534151833 79595127738 80175267153 91386998514 92053084509 96412622166 97002175074 97115338071 102336592806 113169204253 117497569518 119392691607 124717082238 131575619322 137080497771 143193687014 144618933249 145503262611 151068303666 153504889209 160350534306 176246354277 184106169018 187075623357 194230676142 214790530521 226338408506 226602455499 238785383214 240525801459 274160995542 276159253527 289237866498 291006525222 291346014213 307009778418 339507612759 352492708554 358178074821 374151246714 411241493313 429581061042 436509787833 453204910998 460514667627 481051602918 501177904549 528739062831 552318507054 561226870071 582692028426 644371591563 679015225518 679807366497 716356149642 721577404377 822482986626 828477760581 873019575666 921029335254 1002355809098 1018522838277 1057478125662 1074534224463 1122453740142 1233724479939 1288743183126 1309529363499 1359614732994 1443154808754 1503533713647 1586217188493 1656955521162 1683680610213 1933114774689 2037045676554 2039422099491 2149068448926 2164732213131 2467448959878 2485433281743 2619058726998 3007067427294 3055568514831 3172434376986 3223602673389 3367361220426 3508245331843 3701173439817 3866229549378 3928588090497 4078844198982 4329464426262 4510601140941 4758651565479 4970866563486 5051041830639 5799344324067 6111137029662 6447205346778 6494196639393 7016490663686 7402346879634 7456299845229 7857176180994 9021202281882 9166705544493 9517303130958 10102083661278 10524735995529 11103520319451 11598688648134 11785764271491 12988393278786 13531803422823 14275954696437 14912599690458 15153125491917 17398032972201 18333411088986 21049471991058 22207040638902 22368899535687 23571528542982 27063606845646 27500116633479 28551909392874 30306250983834 31574207986587 33310560958353 34796065944402 35357292814473 40595410268469 44737799071374 45459376475751 52194098916603 55000233266958 63148415973174 66621121916706 67106698607061 70714585628946 81190820536938 82500349900437 90918752951502 94722623959761 99931682875059 104388197833206 106071878443419 121786230805407 134213397214122 156582296749809 165000699800874 189445247919522 199863365750118 201320095821183 212143756886838 243572461610814 247501049701311 284167871879283 313164593499618 318215635330257 365358692416221 402640191642366 469746890249427 495002099402622 568335743758566 636431270660514 730717384832442 742503149103933 852503615637849 939493780498854 1096076077248663 1409240670748281 1485006298207866 1705007231275698 2192152154497326 2227509447311799 2557510846913547 2818481341496562 3288228231745989 4455018894623598 5115021693827094 6576456463491978 7672532540740641 9864684695237967 15345065081481282 19729369390475934 23017597622221923 46035195244443846 69052792866665769 138105585733331538
- Sum of all divisors σ(n): 374601506651750400
- Sum of proper divisors (its aliquot sum) s(n): 236495920918418862
- 138105585733331538 is an abundant number, because the sum of its proper divisors (236495920918418862) is greater than itself. Its abundance is 98390335185087324
Bases of 138105585733331538
- Binary: 1111010101010011001001100011010110010000111101010010100102
- Hexadecimal: 0x1EAA64C6B21EA52
- Base-36: 11RUCE7X2J4I
Squares and roots of 138105585733331538
- 138105585733331538 squared (1381055857333315382) is 19073152810746587646654604625445444
- 138105585733331538 cubed (1381055857333315383) is 2634108940709496258908825511913870693964561383612872
-
The
square root of 138105585733331538 is 371625598.8671011049 -
The
cube root of 138105585733331538 is 516896.6863326513
Scales and comparisons
How big is 138105585733331538?- 138,105,585,733,331,538 seconds is equal to 4,391,330,437 years, 36 weeks, 23 hours, 12 minutes, 18 seconds.
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To count from 1 to 138,105,585,733,331,538 would take you about thirteen billion, one hundred seventy-three million, nine hundred ninety-one thousand, three hundred thirteen 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 138105585733331538 cubic inches would be around 43074.7 feet tall.
Recreational maths with 138105585733331538
- 138105585733331538 backwards is 835133337585501831
- The number of decimal digits it has is: 18
- The sum of 138105585733331538's digits is 72
- More coming soon!
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The information we have on file for 138105585733331538 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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