42261142891968
42,261,142,891,968 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42261142891968 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
42261142891968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 42261142891968:
26 × 32 × 7 × 11 × 132 × 2089 × 2699
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 13 × 2089 × 2699)See below for interesting mathematical facts about the number 42261142891968 from the Numbermatics database.
Names of 42261142891968
- Cardinal: 42261142891968 can be written as Forty-two trillion, two hundred sixty-one billion, one hundred forty-two million, eight hundred ninety-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2261142891968 × 1013
Factors of 42261142891968
Divisors of 42261142891968
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 63 64 66 72 77 78 84 88 91 96 99 104 112 117 126 132 143 144 154 156 168 169 176 182 192 198 208 224 231 234 252 264 273 286 288 308 312 336 338 352 364 396 416 429 448 462 468 504 507 528 546 572 576 616 624 672 676 693 704 728 792 819 832 858 924 936 1001 1008 1014 1056 1092 1144 1183 1232 1248 1287 1344 1352 1386 1456 1521 1584 1638 1716 1848 1859 1872 2002 2016 2028 2089 2112 2184 2288 2366 2464 2496 2574 2699 2704 2772 2912 3003 3042 3168 3276 3432 3549 3696 3718 3744 4004 4032 4056 4178 4368 4576 4732 4928 5148 5398 5408 5544 5577 5824 6006 6084 6267 6336 6552 6864 7098 7392 7436 7488 8008 8097 8112 8356 8736 9009 9152 9464 10296 10647 10796 10816 11088 11154 12012 12168 12534 13013 13104 13728 14196 14623 14784 14872 16016 16194 16224 16712 16731 17472 18018 18801 18893 18928 20592 21294 21592 22176 22308 22979 24024 24291 24336 25068 26026 26208 27157 27456 28392 29246 29689 29744 32032 32388 32448 33424 33462 35087 36036 37602 37786 37856 39039 41184 42588 43184 43869 44352 44616 45958 48048 48582 48672 50136 52052 52416 54314 56679 56784 58492 59378 59488 64064 64776 66848 66924 68937 70174 72072 75204 75572 75712 78078 81471 82368 85176 86368 87738 89067 89232 91916 96096 97164 97344 100272 104104 105261 108628 113358 113568 116984 117117 118756 118976 129552 131607 133696 133848 137874 140348 144144 150408 151144 156156 160853 162942 170037 170352 172736 175476 178134 178464 183832 190099 192192 194328 200544 206811 207823 208208 210522 217256 226716 227136 233968 234234 237512 244413 245609 259104 263214 267201 267696 275748 280696 288288 298727 300816 302288 312312 315783 321706 325884 340074 340704 350952 353041 356268 356928 367664 380198 385957 388656 401088 413622 415646 416416 421044 434512 453432 456131 467936 468468 475024 482559 488826 491218 518208 526428 534402 535392 551496 561392 570297 576576 597454 601632 604576 623469 624624 631566 643412 651768 680148 681408 701904 706082 712536 735328 736827 760396 771914 777312 827244 831292 832832 842088 869024 896181 906864 912262 935872 936936 950048 965118 977652 982436 1052856 1059123 1068804 1070784 1102992 1122784 1140594 1157871 1194908 1203264 1209152 1246938 1249248 1263132 1286824 1303536 1360296 1368393 1403808 1412164 1425072 1447677 1470656 1473654 1520792 1543828 1554624 1654488 1662584 1684176 1710891 1738048 1792362 1813728 1824524 1870407 1873872 1900096 1930236 1955304 1964872 2091089 2105712 2118246 2137608 2205984 2210481 2245568 2281188 2315742 2389816 2471287 2493876 2498496 2526264 2573648 2607072 2688543 2701699 2720592 2736786 2807616 2824328 2850144 2895354 2947308 3041584 3087656 3177369 3192917 3308976 3325168 3368352 3421782 3473613 3584724 3627456 3649048 3740814 3747744 3860472 3883451 3910608 3929744 4105179 4182178 4211424 4236492 4275216 4411968 4420962 4562376 4631484 4779632 4942574 4987752 5017441 5052528 5147296 5214144 5377086 5403398 5441184 5473572 5638211 5648656 5700288 5790708 5894616 6083168 6175312 6273267 6354738 6385834 6617952 6650336 6736704 6843564 6947226 7169448 7298096 7413861 7481628 7495488 7720944 7766902 7821216 7859488 8105097 8210358 8364356 8422848 8472984 8550432 8841924 9124752 9262968 9559264 9578751 9885148 9975504 10034882 10105056 10294592 10754172 10806796 10882368 10947144 11276422 11297312 11581416 11650353 11789232 12166336 12350624 12546534 12709476 12771668 13235904 13300672 13687128 13894452 14338896 14596192 14827722 14963256 15052323 15441888 15533804 15642432 15718976 16210194 16420716 16728712 16914633 16945968 17100864 17683848 18249504 18525936 18819801 19118528 19157502 19770296 19951008 20069764 20210112 21508344 21613592 21894288 22241583 22552844 22594624 23162832 23300706 23578464 24315291 24701248 25093068 25418952 25543336 27184157 27374256 27788904 28677792 28736253 29192384 29655444 29926512 30104646 30883776 31067608 32420388 32841432 33457424 33829266 33891936 34951059 35122087 35367696 36499008 37051872 37639602 38315004 39467477 39540592 39902016 40139528 43016688 43227184 43788576 44483166 45105688 45156969 46325664 46601412 47156928 48630582 50186136 50743899 50837904 51086672 54368314 54748512 55577808 57355584 57472506 59310888 59853024 60209292 62020321 62135216 64840776 65682864 66914848 67658532 67783872 69902118 70244174 70735392 73296743 74103744 75279204 76630008 78934954 79081184 80279056 81552471 86033376 86454368 87577152 88966332 90211376 90313938 92651328 93202824 97261164 100372272 101487798 101675808 102173344 105366261 108736628 109497024 111155616 114945012 118402431 118621776 119706048 120418584 124040642 124270432 129681552 131365728 133829696 135317064 139804236 140488348 141470784 146593486 150558408 153260016 157869908 158162368 160558112 163104942 172066752 172908736 177932664 180422752 180627876 186060963 186405648 194522328 200744544 202975596 203351616 204346688 210732522 217473256 219890229 222311232 229890024 236804862 237243552 240837168 244657413 248081284 248540864 259363104 262731456 270634128 279608472 280976696 293186972 301116816 306520032 315739816 316098783 321116224 326209884 355207293 355865328 360845504 361255752 372121926 372811296 389044656 401489088 405951192 421465044 434142247 434946512 439780458 459780048 473609724 474487104 481674336 489314826 496162568 513077201 518726208 541268256 558182889 559216944 561953392 586373944 602233632 613040064 631479632 632197566 652419768 659670687 710414586 711730656 722511504 744243852 745622592 778089312 806264173 811902384 842930088 868284494 869893024 879560916 919560096 947219448 952857659 963348672 978629652 992325136 1026154402 1082536512 1116365778 1118433888 1123906784 1172747888 1204467264 1262959264 1264395132 1302426741 1304839536 1319341374 1420829172 1423461312 1445023008 1488487704 1539231603 1556178624 1612528346 1623804768 1685860176 1736568988 1739786048 1759121832 1839120192 1894438896 1905715318 1957259304 1984650272 2052308804 2232731556 2236867776 2247813568 2345495776 2418792519 2525918528 2528790264 2604853482 2609679072 2638682748 2841658344 2858572977 2890046016 2976975408 3078463206 3225056692 3247609536 3371720352 3473137976 3518243664 3788877792 3811430636 3907280223 3914518608 3969300544 4104617608 4465463112 4617694809 4690991552 4837585038 5057580528 5209706964 5219358144 5277365496 5643849211 5683316688 5717145954 5953950816 6156926412 6450113384 6670003613 6743440704 6946275952 7036487328 7256377557 7577755584 7622861272 7814560446 7829037216 8209235216 8575718931 8930926224 9235389618 9675170076 10115161056 10419413928 10481434249 10554730992 11287698422 11366633376 11434291908 11907901632 12313852824 12900226768 13340007226 13892551904 14072974656 14512755114 15245722544 15629120892 15658074432 16418470432 16931547633 17151437862 17861852448 18470779236 19350340152 20010010839 20230322112 20838827856 20962868498 21109461984 22575396844 22733266752 22868583816 24627705648 25800453536 26680014452 27785103808 29025510228 30491445088 31258241784 31444302747 32836940864 33863095266 34302875724 35723704896 36941558472 38700680304 40020021678 41677655712 41925736996 42218923968 45150793688 45737167632 49255411296 50794642899 51600907072 53360028904 58051020456 60030032517 60982890176 62516483568 62888605494 67726190532 68605751448 73370039743 73883116944 77401360608 80040043356 83355311424 83851473992 90301587376 91474335264 94332908241 98510822592 101589285798 106720057808 116102040912 120060065034 125032967136 125777210988 135452381064 137211502896 146740079486 147766233888 154802721216 160080086712 167702947984 180603174752 182948670528 188665816482 203178571596 213440115616 220110119229 232204081824 240120130068 250065934272 251554421976 270904762128 274423005792 293480158972 295532467776 320160173424 335405895968 361206349504 377331632964 406357143192 426880231232 440220238458 464408163648 480240260136 503108843952 541809524256 548846011584 586960317944 640320346848 660330357687 670811791936 754663265928 812714286384 880440476916 960480520272 1006217687904 1083619048512 1173920635888 1280640693696 1320660715374 1509326531856 1625428572768 1760880953832 1920961040544 2012435375808 2347841271776 2641321430748 3018653063712 3250857145536 3521761907664 3841922081088 4695682543552 5282642861496 6037306127424 7043523815328 10565285722992 14087047630656 21130571445984 42261142891968
- Sum of all divisors σ(n): 163673905824000
- Sum of proper divisors (its aliquot sum) s(n): 121412762932032
- 42261142891968 is an abundant number, because the sum of its proper divisors (121412762932032) is greater than itself. Its abundance is 79151620040064
Bases of 42261142891968
- Binary: 10011001101111101100000110100011101101110000002
- Hexadecimal: 0x266FB068EDC0
- Base-36: EZAI1BSG0
Squares and roots of 42261142891968
- 42261142891968 squared (422611428919682) is 1786004198535337410518913024
- 42261142891968 cubed (422611428919683) is 75478578639956679283019916378647220191232
-
The
square root of 42261142891968 is 6500857.0890281845 -
The
cube root of 42261142891968 is 34832.1604786415
Scales and comparisons
How big is 42261142891968?- 42,261,142,891,968 seconds is equal to 1,343,773 years, 32 weeks, 2 days, 6 hours, 52 minutes, 48 seconds.
-
To count from 1 to 42,261,142,891,968 would take you about three million, three hundred fifty-nine thousand, four hundred thirty-four 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 42261142891968 cubic inches would be around 2902.7 feet tall.
Recreational maths with 42261142891968
- 42261142891968 backwards is 86919824116224
- 42261142891968 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42261142891968's digits is 63
- More coming soon!
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Cite this page
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"Number 42261142891968 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
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Numbermatics. (2024). Number 42261142891968 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/42261142891968/
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The information we have on file for 42261142891968 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 42261142891968, math, Factors of 42261142891968, curriculum, school, college, exams, university, Prime factorization of 42261142891968, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, two hundred sixty-one billion, one hundred forty-two million, eight hundred ninety-one thousand, nine hundred sixty-eight.