137785064341336293042
137,785,064,341,336,293,042 is an even composite number composed of five prime numbers multiplied together.
What does the number 137785064341336293042 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1890 divisors.
137785064341336293042 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 137785064341336293042:
2 × 38 × 72 × 174 × 376
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 17 × 17 × 17 × 17 × 37 × 37 × 37 × 37 × 37 × 37)See below for interesting mathematical facts about the number 137785064341336293042 from the Numbermatics database.
Names of 137785064341336293042
- Cardinal: 137785064341336293042 can be written as One hundred thirty-seven quintillion, seven hundred eighty-five quadrillion, sixty-four trillion, three hundred forty-one billion, three hundred thirty-six million, two hundred ninety-three thousand and forty-two.
Scientific notation
- Scientific notation: 1.37785064341336293042 × 1020
Factors of 137785064341336293042
Divisors of 137785064341336293042
- Number of divisors d(n): 1890
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Complete list of divisors:
1 2 3 6 7 9 14 17 18 21 27 34 37 42 49 51 54 63 74 81 98 102 111 119 126 147 153 162 189 222 238 243 259 289 294 306 333 357 378 441 459 486 518 567 578 629 666 714 729 777 833 867 882 918 999 1071 1134 1258 1323 1369 1377 1458 1554 1666 1701 1734 1813 1887 1998 2023 2142 2187 2331 2499 2601 2646 2738 2754 2997 3213 3402 3626 3774 3969 4046 4107 4131 4374 4403 4662 4913 4998 5103 5202 5439 5661 5994 6069 6426 6561 6993 7497 7803 7938 8214 8262 8806 8991 9583 9639 9826 10206 10693 10878 11322 11907 12138 12321 12393 13122 13209 13986 14161 14739 14994 15309 15606 16317 16983 17982 18207 19166 19278 20979 21386 22491 23273 23409 23814 24642 24786 26418 26973 28322 28749 28917 29478 30618 30821 32079 32634 33966 34391 35721 36414 36963 37179 39627 41958 42483 44217 44982 45927 46546 46818 48951 50653 50949 53946 54621 57498 57834 61642 62937 64158 67081 67473 68782 69819 70227 71442 73926 74358 74851 79254 80919 83521 84966 86247 86751 88434 91854 92463 96237 97902 101306 101898 103173 107163 109242 110889 111537 118881 125874 127449 132651 134162 134946 139638 140454 146853 149702 151959 152847 161838 162911 163863 167042 172494 173502 181781 184926 188811 192474 201243 202419 206346 209457 210681 214326 221778 223074 224553 237762 240737 242757 250563 254898 258741 260253 265302 277389 288711 293706 303918 305694 309519 321489 325822 327726 332667 354571 356643 363562 377622 382347 395641 397953 402486 404838 418914 421362 440559 449106 455877 458541 481474 485514 488733 491589 501126 517482 520506 523957 545343 554778 566433 577422 584647 603729 607257 619038 628371 632043 642978 665334 673659 709142 713286 722211 751689 764694 776223 780759 791282 795906 832167 861101 866133 881118 911754 917082 928557 977466 983178 998001 1047914 1063713 1069929 1090686 1132866 1140377 1147041 1169294 1186923 1193859 1207458 1214514 1256742 1264086 1272467 1321677 1347318 1367631 1375623 1444422 1466199 1474767 1503378 1552446 1561518 1571871 1636029 1664334 1699299 1722202 1732266 1753941 1811187 1821771 1857114 1874161 1885113 1896129 1996002 2020977 2127426 2139858 2166633 2255067 2280754 2294082 2328669 2373846 2387718 2481997 2496501 2544934 2583303 2598399 2643354 2735262 2751246 2769487 2785671 2932398 2949534 2994003 3090277 3143742 3191139 3209787 3272058 3398598 3421131 3441123 3507882 3560769 3581577 3622374 3643542 3748322 3770226 3792258 3817401 3965031 4041954 4092529 4102893 4126869 4333266 4398597 4424301 4510134 4657338 4715613 4908087 4963994 4993002 5166606 5196798 5261823 5433561 5465313 5538974 5571342 5622483 5655339 5988006 6027707 6062931 6180554 6382278 6419574 6499899 6725897 6765201 6842262 6882246 6986007 7121538 7163154 7445991 7489503 7634802 7749909 7795197 7930062 8185058 8205786 8253738 8308461 8357013 8797194 8848602 8907269 8982009 9270831 9431226 9573417 9629361 9816174 10263393 10323369 10523646 10682307 10744731 10867122 10930626 11244966 11310678 11452203 11895093 12055414 12125862 12277587 12308679 12999798 13119127 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3116110643900226 3243298833447174 3283880650682499 3477050100722646 3705991671140598 3727648306180134 3783848639021703 3857256637309602 4006427970728862 4056558450843087 4222132265163213 4295179536186798 4470492986643402 4500132743527869 4674165965850339 4764846434323626 4792690679374458 4864948250170761 5108258789950554 5215575151083969 5558987506710897 5591472459270201 5785884955964403 5885986771811538 5920382603933154 6126231129844662 6442769304280197 6567761301364998 7147269651485439 7189036019061687 7567697278043406 7662388184925831 8113116901686174 8444264530326426 8828980157717307 9000265487055738 9189346694766993 9348331931700678 9729896500341522 9851641952047497 10431150302167938 10500309734898361 11117975013421794 11182944918540402 11351545917065109 11571769911928806 12169675352529261 12666396795489639 12885538608560394 13500398230583607 14022497897551017 14294539302970878 14378072038123374 15324776369851662 15646725453251907 16676962520132691 16774417377810603 17357654867893209 17657960315434614 18378693389533986 19703283904094994 21000619469796722 21441808954456317 22703091834130218 22987164554777493 24339350705058522 25332793590979278 26486940473151921 27000796461167214 27568040084300979 28044995795102034 29554925856142491 31293450906503814 31500929204695083 33353925040265382 33548834755621206 34054637751195327 34715309735786418 36509026057587783 37999190386468917 40501194691750821 42883617908912634 45974329109554986 50030887560398073 50323252133431809 52072964603679627 52973880946303842 55136080168601958 59109851712284982 63001858409390166 64325426863368951 68109275502390654 68961493664332479 73018052115175566 75998380772937834 79460821419455763 81002389383501642 82704120252902937 88664777568427473 94502787614085249 100061775120796146 100646504266863618 104145929207359254 109527078172763349 121503584075252463 128650853726737902 137922987328664958 150092662681194219 156218893811038881 158921642838911526 165408240505805874 177329555136854946 189005575228170498 192976280590106853 206884480992997437 219054156345526698 238382464258367289 243007168150504926 265994332705282419 283508362842255747 300185325362388438 312437787622077762 364510752225757389 385952561180213706 413768961985994874 450277988043582657 468656681433116643 476764928516734578 531988665410564838 567016725684511494 578928841770320559 620653442978992311 729021504451514778 850525088526767241 900555976087165314 937313362866233286 1093532256677272167 1157857683540641118 1241306885957984622 1350833964130747971 1405970044299349929 1701050177053534482 1861960328936976933 2187064513354544334 2551575265580301723 2701667928261495942 2811940088598699858 3280596770031816501 3723920657873953866 4052501892392243913 5103150531160603446 6561193540063633002 7654725796740905169 8105003784784487826 9841790310095449503 15309451593481810338 19683580620190899006 22964177390222715507 45928354780445431014 68892532170668146521 137785064341336293042
- Sum of all divisors σ(n): 393794121039715464237
- Sum of proper divisors (its aliquot sum) s(n): 256009056698379171195
- 137785064341336293042 is an abundant number, because the sum of its proper divisors (256009056698379171195) is greater than itself. Its abundance is 118223992357042878153
Bases of 137785064341336293042
- Binary: 11101111000001001101110001000000000011110111011000011111110101100102
- Hexadecimal: 0x77826E2007BB0FEB2
- Base-36: T2TQWYD85G14I
Squares and roots of 137785064341336293042
- 137785064341336293042 squared (1377850643413362930422) is 18984723955546182081139914323654097613764
- 137785064341336293042 cubed (1377850643413362930423) is 2615811411717439152417305276051459770556288316231821636630088
-
The
square root of 137785064341336293042 is 11738188290.4192797345 -
The
cube root of 137785064341336293042 is 5164964.9788328433 - Being both a perfect square and a perfect cube, 137785064341336293042 is also a
perfect sixth number .
Scales and comparisons
How big is 137785064341336293042?- 137,785,064,341,336,293,042 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,785,064,341,336,293,042 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137785064341336293042 cubic inches would be around 430413.7 feet tall.
Recreational maths with 137785064341336293042
- 137785064341336293042 backwards is 240392633143460587731
- 137785064341336293042 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137785064341336293042's digits is 81
- More coming soon!
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"Number 137785064341336293042 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 137785064341336293042 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/137785064341336293042/
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Numbermatics. 2024. "Number 137785064341336293042 - Facts about the integer". https://numbermatics.com/n/137785064341336293042/
The information we have on file for 137785064341336293042 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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