138751142422464
138,751,142,422,464 is an even composite number composed of five prime numbers multiplied together.
What does the number 138751142422464 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
138751142422464 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138751142422464:
26 × 38 × 113 × 133 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 13 × 13 × 113)See below for interesting mathematical facts about the number 138751142422464 from the Numbermatics database.
Names of 138751142422464
- Cardinal: 138751142422464 can be written as One hundred thirty-eight trillion, seven hundred fifty-one billion, one hundred forty-two million, four hundred twenty-two thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.38751142422464 × 1014
Factors of 138751142422464
Divisors of 138751142422464
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 81 88 96 99 104 108 113 117 121 132 143 144 156 162 169 176 192 198 208 216 226 234 242 243 264 286 288 297 312 324 338 339 351 352 363 396 416 429 432 452 468 484 486 507 528 572 576 594 624 648 676 678 702 704 726 729 792 832 858 864 891 904 936 968 972 1014 1017 1053 1056 1089 1144 1188 1243 1248 1287 1296 1331 1352 1356 1404 1452 1458 1469 1521 1573 1584 1716 1728 1782 1808 1859 1872 1936 1944 2028 2034 2106 2112 2178 2187 2197 2288 2376 2486 2496 2574 2592 2662 2673 2704 2712 2808 2904 2916 2938 3042 3051 3146 3159 3168 3267 3432 3564 3616 3718 3729 3744 3861 3872 3888 3993 4056 4068 4212 4356 4374 4394 4407 4563 4576 4719 4752 4972 5148 5184 5324 5346 5408 5424 5577 5616 5808 5832 5876 6084 6102 6292 6318 6336 6534 6561 6591 6864 7128 7232 7436 7458 7488 7722 7744 7776 7986 8019 8112 8136 8424 8712 8748 8788 8814 9126 9152 9153 9438 9477 9504 9801 9944 10296 10648 10692 10816 10848 11154 11187 11232 11583 11616 11664 11752 11979 12168 12204 12584 12636 13068 13122 13182 13221 13673 13689 13728 14157 14256 14872 14916 15444 15552 15972 16038 16159 16224 16272 16731 16848 17303 17424 17496 17576 17628 18252 18306 18876 18954 19008 19097 19602 19773 19888 20449 20592 21296 21384 21696 22308 22374 22464 23166 23232 23328 23504 23958 24057 24167 24336 24408 25168 25272 26136 26244 26364 26442 27346 27378 27456 27459 28314 28431 28512 29403 29744 29832 30888 31944 32076 32318 32448 32544 33462 33561 33696 34606 34749 34848 34992 35152 35256 35937 36504 36612 37752 37908 38194 39204 39546 39663 39776 40898 41019 41067 41184 42471 42592 42768 44616 44748 46332 46656 47008 47916 48114 48334 48477 48672 48816 50193 50336 50544 51909 52272 52488 52728 52884 54692 54756 54918 56628 56862 57024 57291 58806 59319 59488 59664 61347 61776 63888 64152 64636 65088 66924 67122 67392 69212 69498 69696 69984 70304 70512 71874 72171 72501 73008 73224 75504 75816 76388 78408 79092 79326 79552 81796 82038 82134 82368 82377 84942 85184 85293 85536 88209 89232 89496 92664 94016 95832 96228 96668 96954 97344 97632 100386 100672 100683 101088 103818 104247 104544 104976 105456 105768 107811 109384 109512 109836 113256 113724 114582 117612 118638 118976 118989 119328 122694 123057 123201 123552 127413 127776 128304 129272 133848 134244 138424 138996 139968 140608 141024 143748 144342 145002 145431 146016 146448 150403 150579 151008 151632 152776 155727 156816 158184 158652 163592 164076 164268 164754 169884 170586 171072 171873 176418 177749 177957 178464 178992 184041 185328 191664 192456 193336 193908 195264 200772 201366 202176 207636 208494 209088 209952 210067 210912 211536 215622 217503 218768 219024 219672 224939 226512 227448 229164 235224 237276 237978 238656 245388 246114 246402 247104 247131 248261 254826 255552 256608 258544 264627 265837 267696 268488 276848 277992 282048 287496 288684 290004 290862 292032 292896 300806 301158 302016 302049 303264 305552 311454 312741 313632 316368 317304 323433 327184 328152 328536 329508 339768 341172 343746 352836 355498 355914 356928 356967 357984 368082 369171 369603 370656 382239 383328 384912 386672 387816 401544 402732 415272 416988 419904 420134 421824 423072 431244 435006 436293 437536 438048 439344 449878 451209 451737 453024 454896 458328 467181 470448 474552 475956 490776 492228 492804 494262 496522 509652 513216 515619 517088 529254 531674 533247 533871 535392 536976 552123 553696 555984 574992 577368 580008 581724 585792 601612 602316 604098 606528 611104 622908 625482 627264 630201 632736 634608 646866 652509 654368 656304 657072 659016 674817 679536 682344 687492 705672 710996 711828 713934 715968 736164 738342 739206 741312 741393 744783 764478 766656 769824 773344 775632 793881 797511 803088 805464 830544 833976 840268 846144 862488 870012 872586 875072 876096 878688 899756 902418 903474 906048 906147 909792 916656 934362 938223 940896 949104 951912 970299 981552 984456 985608 988524 993044 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393245424 403644384 406689712 408370248 421085808 422331624 422825832 424076796 428995008 437281416 438575148 442401102 443661504 445494816 454099932 457525926 459366336 459416529 460725408 461264544 473721534 475123077 477034272 478445616 480633296 482619384 491941593 499119192 501181668 516787128 518316084 521940672 524327232 536663556 540712458 542946807 544493664 558892224 561447744 561509091 563108832 563767776 565435728 581385519 583041888 584766864 589868136 605466576 610034568 612555372 616838976 631628712 633497436 634238748 637927488 643492512 655922124 657862722 660508992 660870782 663601653 665492256 668242224 686288889 689049504 691088112 710582301 715551408 717668424 720949944 723929076 748678788 753914304 775180692 777474126 779689152 780601536 786490848 807288768 811068687 813379424 816740496 842171616 844663248 845651664 848153592 874562832 877150296 884802204 890989632 908199864 915051852 918833058 921450816 922529088 947443068 950246154 954068544 956891232 961266592 965238768 983883186 986794083 991306173 998238384 1002363336 1033574256 1036632168 1073327112 1081424916 1085893614 1088987328 1123018182 1126217664 1127535552 1130871456 1162771038 1166083776 1166211189 1169533728 1179736272 1210933152 1220069136 1225110744 1263257424 1266994872 1268477496 1286985024 1311844248 1315725444 1321741564 1327203306 1330984512 1336484448 1372577778 1378099008 1378249587 1382176224 1421164602 1425369231 1431102816 1435336848 1441899888 1447858152 1475824779 1497357576 1550361384 1554948252 1572981696 1622137374 1626758848 1628840421 1633480992 1684343232 1684527273 1689326496 1691303328 1696307184 1744156557 1749125664 1754300592 1769604408 1816399728 1830103704 1837666116 1894886136 1900492308 1913782464 1922533184 1930477536 1967766372 1973588166 1982612346 1990804959 1996476768 2004726672 2058866667 2067148512 2073264336 2131746903 2146654224 2162849832 2171787228 2246036364 2261742912 2325542076 2332422378 2339067456 2359472544 2421866304 2433206061 2440138272 2450221488 2526514848 2533989744 2536954992 2623688496 2631450888 2643483128 2654406612 2672968896 2745155556 2756499174 2764352448 2842329204 2850738462 2862205632 2870673696 2883799776 2895716304 2951649558 2973918519 2994715152 3100722768 3109896504 3244274748 3257680842 3266961984 3369054546 3378652992 3382606656 3392614368 3488313114 3498251328 3508601184 3539208816 3632799456 3660207408 3675332232 3789772272 3800984616 3860955072 3935532744 3947176332 3965224692 3981609918 3992953536 4009453344 4117733334 4134297024 4146528672 4263493806 4276107693 4293308448 4325699664 4343574456 4492072728 4651084152 4664844756 4718945088 4866412122 4880276544 4900442976 5053029696 5053581819 5067979488 5073909984 5247376992 5262901776 5286966256 5308813224 5490311112 5512998348 5684658408 5701476924 5741347392 5767599552 5791432608 5903299116 5947837038 5972414877 5989430304 6176600001 6201445536 6219793008 6395240709 6488549496 6515361684 6738109092 6785228736 6976626228 7017202368 7078417632 7265598912 7299618183 7320414816 7350664464 7579544544 7601969232 7871065488 7894352664 7930449384 7963219836 8018906688 8235466668 8293057344 8526987612 8552215386 8586616896 8651399328 8687148912 8921755557 8984145456 9302168304 9329689512 9732824244 9800885952 10107163638 10135958976 10147819968 10494753984 10525803552 10573932512 10617626448 10980622224 11025996696 11369316816 11402953848 11582865216 11806598232 11895674076 11944829754 11978860608 12353200002 12402891072 12439586016 12790481418 12828323079 12977098992 13030723368 13476218184 13953252456 14156835264 14599236366 14640829632 14701328928 15159089088 15160745457 15203938464 15742130976 15788705328 15860898768 15926439672 16470933336 17053975224 17104430772 17302798656 17374297824 17843511114 17917244631 17968290912 18529800003 18604336608 18659379024 19185722127 19465648488 20214327276 21051607104 21147865024 21235252896 21898854549 21961244448 22051993392 22738633632 22805907696 23613196464 23791348152 23889659508 24706400004 24879172032 25580962836 25656646158 25954197984 26061446736 26765266671 26952436368 27906504912 29198472732 29402657856 30321490914 30407876928 31484261952 31577410656 31721797536 31852879344 32941866672 34107950448 34208861544 34748595648 35687022228 35834489262 35936581824 37059600006 37208673216 37318758048 38371444254 38931296976 40428654552 42470505792 43797709098 43922488896 44103986784 45477267264 45611815392 47226392928 47582696304 47779319016 49412800008 51161925672 51313292316 51908395968 52122893472 53530533342 53904872736 55589400009 55813009824 58396945464 60642981828 63154821312 63443595072 63705758688 65696563647 65883733344 68215900896 68417723088 71374044456 71668978524 74119200012 74637516096 76742888508 77862593952 80295800013 80857309104 87595418196 88207973568 91223630784 94452785856 95165392608 95558638032 98825600016 102323851344 102626584632 104245786944 107061066684 107809745472 111178800018 111626019648 116793890928 121285963656 127411517376 131393127294 131767466688 136431801792 136835446176 142748088912 143337957048 148238400024 153485777016 155725187904 160591600026 161714618208 166768200027 175190836392 190330785216 191117276064 197089690941 197651200032 204647702688 205253169264 214122133368 222357600036 233587781856 240887400039 242571927312 262786254588 273670892352 285496177824 286675914096 296476800048 306971554032 321183200052 323429236416 333536400054 350381672784 382234552128 394179381882 395302400064 409295405376 410506338528 428244266736 444715200072 467175563712 481774800078 485143854624 525572509176 570992355648 573351828192 592953600096 613943108064 642366400104 667072800108 700763345568 722662200117 788358763764 821012677056 856488533472 889430400144 963549600156 970287709248 1051145018352 1146703656384 1185907200192 1227886216128 1284732800208 1334145600216 1401526691136 1445324400234 1576717527528 1712977066944 1778860800288 1927099200312 2102290036704 2167986600351 2569465600416 2668291200432 2890648800468 3153435055056 3557721600576 3854198400624 4204580073408 4335973200702 5138931200832 5336582400864 5781297600936 6306870110112 7708396801248 8671946401404 10673164801728 11562595201872 12613740220224 15416793602496 17343892802808 23125190403744 34687785605616 46250380807488 69375571211232 138751142422464
- Sum of all divisors σ(n): 496438937991360
- Sum of proper divisors (its aliquot sum) s(n): 357687795568896
- 138751142422464 is an abundant number, because the sum of its proper divisors (357687795568896) is greater than itself. Its abundance is 218936653146432
Bases of 138751142422464
- Binary: 111111000110001100001001000111001100111110000002
- Hexadecimal: 0x7E31848E67C0
- Base-36: 1D6LE7R000
Squares and roots of 138751142422464
- 138751142422464 squared (1387511424224642) is 19251879523538889086251831296
- 138751142422464 cubed (1387511424224643) is 2671220277670662773161111330845633688633344
-
The
square root of 138751142422464 is 11779267.4824228353 -
The
cube root of 138751142422464 is 51770.0823576585
Scales and comparisons
How big is 138751142422464?- 138,751,142,422,464 seconds is equal to 4,411,857 years, 7 weeks, 3 days, 6 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,751,142,422,464 would take you about eleven million, twenty-nine thousand, six hundred forty-two 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 138751142422464 cubic inches would be around 4314.2 feet tall.
Recreational maths with 138751142422464
- 138751142422464 backwards is 464224241157831
- 138751142422464 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138751142422464's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138751142422464 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 138751142422464 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138751142422464/
Chicago style:
Numbermatics. 2024. "Number 138751142422464 - Facts about the integer". https://numbermatics.com/n/138751142422464/
The information we have on file for 138751142422464 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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