42974427713997312
42,974,427,713,997,312 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42974427713997312 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
42974427713997312 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42974427713997312:
29 × 32 × 13 × 127 × 199 × 1801 × 15761
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 127 × 199 × 1801 × 15761)See below for interesting mathematical facts about the number 42974427713997312 from the Numbermatics database.
Names of 42974427713997312
- Cardinal: 42974427713997312 can be written as Forty-two quadrillion, nine hundred seventy-four trillion, four hundred twenty-seven billion, seven hundred thirteen million, nine hundred ninety-seven thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.2974427713997312 × 1016
Factors of 42974427713997312
Divisors of 42974427713997312
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 127 128 144 156 192 199 208 234 254 256 288 312 381 384 398 416 468 508 512 576 597 624 762 768 796 832 936 1016 1143 1152 1194 1248 1524 1536 1592 1651 1664 1791 1801 1872 2032 2286 2304 2388 2496 2587 3048 3184 3302 3328 3582 3602 3744 4064 4572 4608 4776 4953 4992 5174 5403 6096 6368 6604 6656 7164 7204 7488 7761 8128 9144 9552 9906 9984 10348 10806 12192 12736 13208 14328 14408 14859 14976 15522 15761 16209 16256 18288 19104 19812 19968 20696 21612 23283 23413 24384 25273 25472 26416 28656 28816 29718 29952 31044 31522 32418 32512 36576 38208 39624 41392 43224 46566 46826 47283 48768 50546 50944 52832 57312 57632 59436 59904 62088 63044 64836 65024 70239 73152 75819 76416 79248 82784 86448 93132 93652 94566 97536 101092 101888 105664 114624 115264 118872 124176 126088 129672 140478 141849 146304 151638 152832 158496 165568 172896 186264 187304 189132 195072 202184 204893 210717 211328 227457 228727 229248 230528 237744 248352 252176 259344 280956 283698 292608 303276 305664 316992 328549 331136 345792 358399 372528 374608 378264 404368 409786 421434 422656 454914 457454 458496 461056 475488 496704 504352 518688 561912 567396 585216 606552 614679 633984 657098 662272 686181 691584 716798 745056 749216 756528 808736 819572 842868 845312 909828 914908 916992 922112 950976 985647 993408 1008704 1037376 1075197 1123824 1134792 1213104 1229358 1267968 1314196 1324544 1372362 1383168 1433596 1490112 1498432 1513056 1617472 1639144 1685736 1819656 1829816 1844037 1901952 1971294 1986816 2001647 2017408 2058543 2074752 2150394 2247648 2269584 2426208 2458716 2535936 2628392 2744724 2766336 2867192 2956941 2973451 2980224 2996864 3026112 3136439 3225591 3234944 3278288 3371472 3639312 3659632 3688074 3803904 3942588 3973632 4003294 4034816 4117086 4149504 4300788 4495296 4539168 4659187 4852416 4917432 5256784 5489448 5734384 5913882 5946902 5960448 5993728 6004941 6052224 6272878 6451182 6469888 6556576 6742944 7278624 7319264 7376148 7607808 7885176 8006588 8069632 8234172 8299008 8601576 8920353 8990592 9078336 9318374 9409317 9704832 9834864 10513568 10978896 11468768 11827764 11893804 11920896 11987456 12009882 12104448 12545756 12902364 12939776 13113152 13485888 13977561 14557248 14638528 14752296 15770352 16013176 16468344 17203152 17840706 17981184 18014823 18156672 18636748 18818634 19409664 19669728 21027136 21957792 22937536 23655528 23787608 24019764 24208896 25091512 25804728 26021411 26226304 26761059 26971776 27955122 28227951 28385561 29114496 29277056 29504592 31540704 32026352 32936688 34406304 35681412 35962368 36029646 36313344 37273496 37637268 38819328 39339456 40773707 41932683 42054272 43915584 45516673 45875072 47311056 47575216 48039528 50183024 51609456 52042822 52452608 53522118 53943552 55910244 56455902 56771122 58228992 58554112 59009184 63081408 64052704 65873376 68812608 71362824 72059292 72626688 74546992 75274536 78064233 78678912 81547414 83865366 84108544 85156683 87831168 91033346 91750144 94622112 95150432 96079056 100366048 103218912 104085644 104905216 107044236 107887104 111820488 112911804 113542244 116457984 117108224 118018368 122321121 126162816 128105408 131746752 136550019 137625216 142725648 144118584 149093984 150549072 156128466 157357824 163094828 167730732 168217088 170313366 175662336 182066692 183500288 189244224 190300864 192158112 200732096 206437824 208171288 214088472 223640976 225823608 227084488 234192699 236036736 244642242 252325632 255470049 256210816 263493504 273100038 275250432 285451296 288237168 298187968 301098144 312256932 314715648 326189656 335461464 340626732 351324672 364133384 366963363 369012293 378488448 380601728 384316224 398327753 401464192 409650057 412875648 416342576 428176944 447281952 451647216 454168976 468385398 472073472 489284484 504651264 510940098 512421632 526987008 546200076 550500864 570902592 576474336 591716749 596375936 602196288 624513864 652379312 670922928 681253464 728266768 733926726 738024586 756976896 761203456 768632448 796655506 802928384 819300114 825751296 832685152 856353888 894563904 903294432 908337952 936770796 944146944 978568968 1021880196 1024843264 1053974016 1092400152 1107036879 1141805184 1152948672 1183433498 1192751872 1194983259 1204392576 1249027728 1304758624 1341845856 1362506928 1456533536 1467853452 1476049172 1513953792 1522406912 1537264896 1593311012 1605856768 1638600228 1651502592 1665370304 1712707776 1775150247 1789127808 1806588864 1816675904 1873541592 1957137936 2043760392 2184800304 2214073758 2283610368 2305897344 2366866996 2385503744 2389966518 2408785152 2498055456 2609517248 2683691712 2725013856 2913067072 2935706904 2952098344 3074529792 3186622024 3277200456 3321110637 3330740608 3425415552 3550300494 3578255616 3584949777 3604966247 3613177728 3633351808 3747083184 3914275872 4087520784 4369600608 4428147516 4567220736 4611794688 4733733992 4779933036 4817570304 4996110912 5178260789 5219034496 5325450741 5367383424 5450027712 5648726639 5826134144 5871413808 5904196688 6373244048 6554400912 6642221274 6661481216 6850831104 7100600988 7156511232 7169899554 7209932494 7226355456 7266703616 7494166368 7828551744 8175041568 8739201216 8856295032 9223589376 9467467984 9559866072 9992221824 10356521578 10438068992 10650901482 10734766848 10814898741 10900055424 11297453278 11652268288 11742827616 11808393376 12746488096 13108801824 13284442548 13322962432 13701662208 14201201976 14339799108 14419864988 14452710912 14533407232 14988332736 15534782367 15657103488 16350083136 16946179917 17478402432 17712590064 18934935968 19119732144 19984443648 20713043156 20876137984 21301802964 21469533696 21629797482 21800110848 22594906556 23304536576 23485655232 23616786752 25492976192 26217603648 26568885096 28402403952 28679598216 28839729976 29976665472 31069564734 31314206976 32444696223 32700166272 33892359834 34956804864 35425180128 37869871936 38239464288 39968887296 41426086312 42603605928 43259594964 43600221696 45189813112 46604347101 46864561211 46971310464 47233573504 50838539751 50985952384 52435207296 53137770192 56804807904 57359196432 57679459952 59953330944 62139129468 62628413952 64889392446 65400332544 67784719668 69913609728 70850360256 73433446307 75739743872 76478928576 82852172624 85207211856 86519189928 90379626224 93208694202 93729122422 93942620928 94467147008 101677079502 101971904768 104870414592 106275540384 113609615808 114718392864 115358919904 119906661888 124278258936 129778784892 130800665088 135569439336 140593683633 141700720512 146866892614 151479487744 152957857152 165704345248 170414423712 173038379856 180759252448 186417388404 187458244844 187885241856 188934294016 203354159004 203943809536 209740829184 212551080768 220300338921 227219231616 229436785728 230717839808 248556517872 259557569784 271138878672 281187367266 283401441024 293733785228 302958975488 305915714304 331408690496 340828847424 346076759712 361518504896 372834776808 374916489688 406708318008 421781050899 425102161536 440600677842 454438463232 458873571456 461435679616 497113035744 519115139568 542277757344 562374734532 566802882048 587467570456 611831428608 660901016763 662817380992 681657694848 692153519424 717388283153 723037009792 745669553616 749832979376 813416636016 843562101798 850204323072 881201355684 908876926464 917747142912 922871359232 994226071488 1038230279136 1084555514688 1124749469064 1174935140912 1321802033526 1325634761984 1363315389696 1384307038848 1434776566306 1446074019584 1491339107232 1499665958752 1626833272032 1687124203596 1700408646144 1762402711368 1835494285824 1845742718464 1988452142976 2076460558272 2152164849459 2169111029376 2249498938128 2349870281824 2643604067052 2651269523968 2726630779392 2768614077696 2869553132612 2892148039168 2982678214464 2999331917504 3253666544064 3374248407192 3524805422736 3976904285952 4152921116544 4304329698918 4338222058752 4498997876256 4699740563648 5287208134104 5537228155392 5739106265224 5965356428928 5998663835008 6456494548377 6507333088128 6748496814384 7049610845472 7953808571904 8305842233088 8608659397836 8676444117504 8997995752512 9326047680989 9399481127296 10574416268208 11478212530448 11930712857856 11997327670016 12912989096754 13014666176256 13496993628768 14099221690944 16611684466176 17217318795672 17995991505024 18652095361978 18798962254592 21148832536416 22956425060896 23861425715712 23994655340032 25825978193508 26029332352512 26993987257536 27978143042967 28198443381888 34434637591344 35991983010048 37304190723956 37597924509184 42297665072832 45912850121792 51651956387016 53987974515072 55956286085934 56396886763776 68869275182688 71983966020096 74608381447912 83934429128901 84595330145664 91825700243584 103303912774032 107975949030144 111912572171868 112793773527552 137738550365376 149216762895824 167868858257802 169190660291328 183651400487168 206607825548064 215951898060288 223825144343736 275477100730752 298433525791648 335737716515604 338381320582656 367302800974336 413215651096128 447650288687472 550954201461504 596867051583296 671475433031208 826431302192256 895300577374944 1101908402923008 1193734103166592 1342950866062416 1652862604384512 1790601154749888 2387468206333184 2685901732124832 3305725208769024 3581202309499776 4774936412666368 5371803464249664 7162404618999552 10743606928499328 14324809237999104 21487213856998656 42974427713997312
- Sum of all divisors σ(n): 135379559553638400
- Sum of proper divisors (its aliquot sum) s(n): 92405131839641088
- 42974427713997312 is an abundant number, because the sum of its proper divisors (92405131839641088) is greater than itself. Its abundance is 49430704125643776
Bases of 42974427713997312
- Binary: 100110001010110100000011101010100101000110001010000000002
- Hexadecimal: 0x98AD03AA518A00
- Base-36: BR55VJQ2KG0
Squares and roots of 42974427713997312
- 42974427713997312 squared (429744277139973122) is 1846801437345580235272609543225344
- 42974427713997312 cubed (429744277139973123) is 79365234871313973655846286979811691366331426275328
-
The
square root of 42974427713997312 is 207302744.1062884531 -
The
cube root of 42974427713997312 is 350270.3427341107
Scales and comparisons
How big is 42974427713997312?- 42,974,427,713,997,312 seconds is equal to 1,366,453,872 years, 34 weeks, 6 days, 17 hours, 55 minutes, 12 seconds.
-
To count from 1 to 42,974,427,713,997,312 would take you about four billion, ninety-nine million, three hundred sixty-one thousand, six hundred eighteen 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 42974427713997312 cubic inches would be around 29189.2 feet tall.
Recreational maths with 42974427713997312
- 42974427713997312 backwards is 21379931772447924
- The number of decimal digits it has is: 17
- The sum of 42974427713997312's digits is 81
- More coming soon!
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The information we have on file for 42974427713997312 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 42974427713997312, math, Factors of 42974427713997312, curriculum, school, college, exams, university, Prime factorization of 42974427713997312, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, nine hundred seventy-four trillion, four hundred twenty-seven billion, seven hundred thirteen million, nine hundred ninety-seven thousand, three hundred twelve.