138428511486961878
138,428,511,486,961,878 is an even composite number composed of six prime numbers multiplied together.
138428511486961878 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138428511486961878:
2 × 313 × 74 × 13 × 61 × 1512
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 13 × 61 × 151 × 151)See below for interesting mathematical facts about the number 138428511486961878 from the Numbermatics database.
Names of 138428511486961878
- Cardinal: 138428511486961878 can be written as One hundred thirty-eight quadrillion, four hundred twenty-eight trillion, five hundred eleven billion, four hundred eighty-six million, nine hundred sixty-one thousand, eight hundred seventy-eight.
Scientific notation
- Scientific notation: 1.38428511486961878 × 1017
Factors of 138428511486961878
Divisors of 138428511486961878
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 61 63 78 81 91 98 117 122 126 147 151 162 182 183 189 234 243 273 294 302 343 351 366 378 427 441 453 486 546 549 567 637 686 702 729 793 819 854 882 906 1029 1053 1057 1098 1134 1274 1281 1323 1359 1458 1586 1638 1647 1701 1911 1963 2058 2106 2114 2187 2379 2401 2457 2562 2646 2718 2989 3087 3159 3171 3294 3402 3822 3843 3926 3969 4077 4374 4459 4758 4802 4914 4941 5103 5551 5733 5889 5978 6174 6318 6342 6561 7137 7203 7371 7399 7686 7938 8154 8918 8967 9211 9261 9477 9513 9882 10206 11102 11466 11529 11778 11907 12231 13122 13377 13741 14274 14406 14742 14798 14823 15309 16653 17199 17667 17934 18422 18522 18954 19026 19683 20923 21411 21609 22113 22197 22801 23058 23814 24462 26754 26901 27482 27633 27783 28431 28539 29646 30618 31213 33306 34398 34587 35334 35721 36693 38857 39366 40131 41223 41846 42822 43218 44226 44394 44469 45602 45927 49959 51597 51793 53001 53802 55266 55566 56862 57078 59049 62426 62769 64233 64477 64827 66339 66591 68403 69174 71442 73386 77714 80262 80703 82446 82899 83349 85293 85617 88938 91854 93639 96187 99918 103194 103586 103761 106002 107163 110079 116571 118098 119743 120393 123669 125538 128466 128954 129654 132678 133182 133407 136806 137781 146461 149877 154791 155379 159003 159607 161406 165798 166698 170586 171234 177147 187278 188307 192374 192699 193431 194481 199017 199773 205209 207522 214326 220158 233142 239486 240786 242109 247338 248697 250047 255879 256851 266814 271999 275562 280917 288561 292922 296413 299754 309582 310758 311283 318006 319214 321489 330237 349713 354294 359229 361179 362551 371007 376614 385398 386862 388962 398034 399546 400221 410418 413343 439383 449631 451339 464373 466137 477009 478821 484218 497394 500094 511758 513702 531441 543998 561834 564921 577122 578097 580293 583443 592826 597051 599319 615627 622566 642978 660474 673309 699426 718458 722358 725102 726327 742014 746091 750141 767637 770553 800442 815997 826686 838201 842751 865683 878766 889239 899262 902678 928746 932274 933849 954018 957642 964467 990711 1049139 1062882 1077687 1083537 1087653 1113021 1117249 1129842 1156194 1160586 1166886 1194102 1198638 1200663 1231254 1240029 1318149 1346618 1348893 1354017 1390861 1393119 1398411 1431027 1436463 1452654 1492182 1500282 1535274 1541106 1594323 1631994 1676402 1685502 1694763 1731366 1734291 1740879 1750329 1778478 1791153 1797957 1846881 1867698 1903993 1928934 1981422 2019927 2074891 2098278 2155374 2167074 2175306 2178981 2226042 2234498 2238273 2250423 2302911 2311659 2401326 2447991 2480058 2514603 2528253 2597049 2636298 2667717 2697786 2708034 2781722 2786238 2796822 2801547 2862054 2872926 2893401 2972133 3147417 3159373 3188646 3233061 3250611 3262959 3339063 3351747 3389526 3468582 3481758 3500658 3582306 3595914 3601989 3693762 3720087 3807986 3954447 4039854 4046679 4062051 4149782 4172583 4179357 4195233 4293081 4309389 4357962 4476546 4500846 4605822 4623318 4713163 4895982 5029206 5056506 5084289 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556615123974 559673448831 571761113742 574902658323 578023397973 593751925809 628768936341 645878295153 667054632699 674573295942 692929031886 695561240934 711784243638 715648016538 718366527522 719580148497 735121431954 739160560701 781432999074 808417203867 811488114423 830414950911 834922685961 857641670613 867308523354 870603142626 890908755282 894293024058 923614106814 945156126798 1004699570238 1011859943913 1037640539754 1039393547829 1043341861401 1067676365457 1073472024807 1077549791283 1102682147931 1119346897662 1149805316646 1156046795946 1172149498611 1187503851618 1257537872682 1291756590306 1305904713939 1334109265398 1336363132923 1341439536087 1385421160221 1439160296994 1478321121402 1507049355357 1556460809631 1616834407734 1622976228846 1660829901822 1669845371922 1679020346493 1715283341226 1724707974969 1781255777427 1886306809023 1937634885459 2001163898097 2023719887826 2078787095658 2086683722802 2135352730914 2146944049614 2155099582566 2205364295862 2217481682103 2344298997222 2425251611601 2434464343269 2491244852733 2504768057883 2572925011839 2611809427878 2672726265846 2682879072174 2770842320442 3014098710714 3035579831739 3112921619262 3118180643487 3130025584203 3203029096371 3232649373849 3308046443793 3358040692986 3449415949938 3516448495833 3562511554854 3772613618046 3875269770918 3917714141817 4002327796194 4024318608261 4156263480663 4434963364206 4521148066071 4669382428893 4850503223202 4868928686538 4982489705466 5009536115766 5037061039479 5145850023678 5174123924907 5658920427069 5812904656377 6003491694291 6071159663478 6236361286974 6260051168406 6406058192742 6465298747698 6616092887586 7032896991666 7275754834803 7303393029807 7473734558199 7514304173649 7718775035517 7835428283634 8048637216522 8312526961326 9042296132142 9338764857786 9354541930461 9390076752609 9609087289113 9697948121547 10074122078958 10348247849814 10549345487499 11317840854138 11625809312754 11753142425451 12006983388582 12072955824783 12468790441989 13563444198213 14008147286679 14551509669606 14606786059614 14947469116398 15028608347298 15437550071034 15522371774721 16976761281207 17438713969131 18010475082873 18709083860922 18780153505218 19218174578226 19395896243094 21098690974998 21827264504409 21910179089421 22421203674597 23156325106551 23506284850902 24145911649566 24937580883978 27126888396426 28016294573358 28170230257827 28827261867339 29093844364641 31044743549442 31648036462497 33953522562414 34877427938262 35259427276353 36020950165746 36218867474349 40690332594639 42024441860037 43654529008818 43820358178842 44842407349194 46312650213102 50930283843621 52316141907393 54031425248619 56340460515654 57654523734678 58187688729282 63296072924994 65481793513227 65730537268263 67263611023791 70518854552706 72437734948698 81380665189278 84048883720074 84510690773481 87281533093923 94944109387491 101860567687242 104632283814786 108062850497238 108656602423047 122070997783917 126073325580111 130963587026454 131461074536526 134527222047582 152790851530863 156948425722179 162094275745857 169021381546962 174563066187846 189888218774982 197191611804789 201790833071373 217313204846094 244141995567834 252146651160222 253532072320443 284832328162473 305581703061726 313896851444358 324188551491714 366212993351751 378219976740333 394383223609578 403581666142746 458372554592589 470845277166537 507064144640886 569664656324946 591574835414367 732425986703502 756439953480666 760596216961329 854496984487419 916745109185178 941690554333074 1098638980055253 1134659930220999 1183149670828734 1412535831499611 1521192433922658 1708993968974838 1774724506243101 2197277960110506 2269319860441998 2563490953462257 2825071662999222 3295916940165759 3549449012486202 5126981906924514 5324173518729303 6591833880331518 7690472860386771 9887750820497277 10648347037458606 15380945720773542 19775501640994554 23071418581160313 46142837162320626 69214255743480939 138428511486961878
- Sum of all divisors σ(n): 400369536266566608
- Sum of proper divisors (its aliquot sum) s(n): 261941024779604730
- 138428511486961878 is an abundant number, because the sum of its proper divisors (261941024779604730) is greater than itself. Its abundance is 123512513292642852
Bases of 138428511486961878
- Binary: 1111010111100101111111111011011011111011101101000110101102
- Hexadecimal: 0x1EBCBFF6DF768D6
- Base-36: 11V0T89H33DI
Squares and roots of 138428511486961878
- 138428511486961878 squared (1384285114869618782) is 19162452792495936607739186625286884
- 138428511486961878 cubed (1384285114869618783) is 2652629816504388477079892278763201953191907321408152
-
The
square root of 138428511486961878 is 372059822.4573057525 -
The
cube root of 138428511486961878 is 517299.2510805883
Scales and comparisons
How big is 138428511486961878?- 138,428,511,486,961,878 seconds is equal to 4,401,598,477 years, 40 weeks, 5 days, 21 hours, 51 minutes, 18 seconds.
-
To count from 1 to 138,428,511,486,961,878 would take you about thirteen billion, two hundred four million, seven hundred ninety-five thousand, four hundred thirty-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 138428511486961878 cubic inches would be around 43108.3 feet tall.
Recreational maths with 138428511486961878
- 138428511486961878 backwards is 878169684115824831
- The number of decimal digits it has is: 18
- The sum of 138428511486961878's digits is 90
- More coming soon!
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Cite this page
MLA style:
"Number 138428511486961878 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 138428511486961878 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138428511486961878/
Chicago style:
Numbermatics. 2024. "Number 138428511486961878 - Facts about the integer". https://numbermatics.com/n/138428511486961878/
The information we have on file for 138428511486961878 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!
Keywords: Divisors of 138428511486961878, math, Factors of 138428511486961878, curriculum, school, college, exams, university, Prime factorization of 138428511486961878, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred twenty-eight trillion, five hundred eleven billion, four hundred eighty-six million, nine hundred sixty-one thousand, eight hundred seventy-eight.