40920978828340313216
40,920,978,828,340,313,216 is an even composite number composed of six prime numbers multiplied together.
40920978828340313216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 40920978828340313216:
27 × 172 × 43 × 672 × 139 × 64212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 17 × 17 × 43 × 67 × 67 × 139 × 6421 × 6421)See below for interesting mathematical facts about the number 40920978828340313216 from the Numbermatics database.
Names of 40920978828340313216
- Cardinal: 40920978828340313216 can be written as Forty quintillion, nine hundred twenty quadrillion, nine hundred seventy-eight trillion, eight hundred twenty-eight billion, three hundred forty million, three hundred thirteen thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.0920978828340313216 × 1019
Factors of 40920978828340313216
Divisors of 40920978828340313216
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 8 16 17 32 34 43 64 67 68 86 128 134 136 139 172 268 272 278 289 344 536 544 556 578 688 731 1072 1088 1112 1139 1156 1376 1462 2144 2176 2224 2278 2312 2363 2752 2881 2924 4288 4448 4489 4556 4624 4726 5504 5762 5848 5977 6421 8576 8896 8978 9112 9248 9313 9452 11524 11696 11954 12427 12842 17792 17956 18224 18496 18626 18904 19363 23048 23392 23908 24854 25684 35912 36448 36992 37252 37808 38726 40171 46096 46784 47816 48977 49708 51368 71824 72896 74504 75616 76313 77452 80342 92192 93568 95632 97954 99416 101609 102736 109157 143648 145792 149008 151232 152626 154904 158321 160684 184384 191264 193027 195908 198832 203218 205472 218314 276103 287296 298016 302464 305252 309808 316642 321368 368768 382528 386054 391816 397664 400459 406436 410944 430207 436628 552206 574592 596032 610504 619616 623971 633284 642736 765056 772108 783632 795328 800918 812872 821888 832609 860414 873256 892519 1104412 1192064 1221008 1239232 1247942 1266568 1285472 1297321 1544216 1567264 1590656 1601836 1625744 1665218 1720828 1727353 1746512 1785038 1855669 2208824 2442016 2478464 2495884 2533136 2570944 2594642 2691457 3088432 3134528 3203672 3251488 3281459 3330436 3441656 3454706 3493024 3570076 3711338 4417648 4693751 4884032 4991768 5066272 5141888 5189284 5382914 6176864 6269056 6407344 6502976 6562918 6660872 6807803 6883312 6909412 6986048 7140152 7313519 7422676 8835296 9387502 9768064 9983536 10132544 10378568 10607507 10765828 12353728 12814688 13005952 13125836 13321744 13615606 13766624 13818824 13972096 14280304 14627038 14845352 15172823 17670592 18498901 18775004 19967072 20265088 20757136 21215014 21531656 24707456 25629376 26251672 26643488 26830753 27231212 27533248 27637648 28560608 28823869 29254076 29690704 30345646 35341184 36997802 37550008 38378317 39934144 41229241 41514272 42430028 43063312 51258752 52503344 53286976 53661506 54462424 55066496 55275296 55784803 57121216 57647738 58508152 59381408 59798773 60691292 73995604 75100016 76756634 79793767 79868288 82458482 83028544 84860056 86126624 105006688 106573952 107323012 108924848 110550592 111569606 114242432 115295476 115732651 117016304 118762816 119597546 121382584 124329823 147991208 150200032 153513268 159587534 164916964 166057088 169720112 172253248 180327619 210013376 214646024 217849696 221101184 223139212 230590952 231465302 234032608 237525632 239195092 242765168 248659646 257937991 295982416 300400064 307026536 314481317 319175068 329833928 339440224 344506496 360655238 420026752 429292048 435699392 446278424 456122801 461181904 462930604 468065216 478390184 485530336 490005773 497319292 515875982 591964832 600800128 614053072 628962634 638350136 652431389 659667856 678880448 700897097 721310476 858584096 871398784 892556848 912245602 922363808 925861208 936130432 956780368 971060672 980011546 994638584 1016579141 1031751964 1183929664 1228106144 1239426367 1257925268 1276700272 1304862778 1319335712 1357760896 1401794194 1442620952 1717168192 1772857363 1785113696 1824491204 1844727616 1851722416 1913560736 1942121344 1960023092 1989277168 2033158282 2063503928 2367859328 2456212288 2478852734 2515850536 2553400544 2571347239 2609725556 2638671424 2762359147 2803588388 2885241904 3434336384 3545714726 3570227392 3648982408 3689455232 3703444832 3827121472 3920046184 3978554336 4006517791 4066316564 4127007856 4912424576 4957705468 5031701072 5106801088 5142694478 5219451112 5277342848 5346182389 5524718294 5607176776 5730864499 5770483808 7091429452 7140454784 7297964816 7406889664 7654242944 7754087617 7840092368 7957108672 8013035582 8132633128 8254015712 8330098141 9915410936 10063402144 10213602176 10285388956 10438902224 10692364778 11049436588 11091333613 11214353552 11461728998 11540967616 11915250649 14182858904 14595929632 14813779328 15508175234 15680184736 15914217344 16026071164 16265266256 16508031424 16660196282 17281845397 19830821872 20126804288 20570777912 20877804448 21070248239 21384729556 22098873176 22182667226 22428707104 22923457996 23081935232 23830501298 28365717808 29191859264 30138575171 31016350468 31360369472 32052142328 32530532512 33016062848 33320392564 34563690794 39661643744 40253608576 41141555824 41755608896 42140496478 42769459112 43712903063 44197746352 44365334452 44857414208 45846915992 46960105499 47661002596 56731435616 58383718528 60277150342 62032700936 62720738944 64104284656 65061065024 66640785128 68110802447 69127381588 79323287488 82283111648 83511217792 84280992956 85538918224 87425806126 88395492704 88730668904 89714828416 91693831984 93920210998 95322005192 97424696483 113462871232 118781443321 120554300684 124065401872 128208569312 130122130048 133281570256 136221604894 138254763176 158646574976 164566223296 168561985912 171077836448 172280265013 174851612252 176790985408 177461337808 183387663968 185078062849 187840421996 190644010384 194849392966 226925742464 237562886642 241108601368 246427173457 248130803744 256417138624 266563140512 272443209788 276509526352 329132446592 337123971824 342155672896 344560530026 349703224504 353581970816 354922675616 358194220063 366775327936 370156125698 375680843992 381288020768 383967921433 389698785932 475125773284 482217202736 492854346914 496261607488 512355777907 512834277248 533126281024 544886419576 553019052704 674247943648 684311345792 689121060052 699406449008 709845351232 716388440126 733550655872 740312251396 743119352071 751361687984 762576041536 767935842866 779397571864 798321793483 950251546568 964434405472 985708693828 992523214976 1024711555814 1066252562048 1089772839152 1106038105408 1157883641599 1348495887296 1378242120104 1398812898016 1419690702464 1432776880252 1480624502792 1486238704142 1502723375968 1525152083072 1535871685732 1558795143728 1596643586966 1656219840211 1900503093136 1928868810944 1971417387656 2019284536457 2049423111628 2179545678304 2212076210816 2315767283198 2696991774592 2756484240208 2797625796032 2865553760504 2928764505221 2961249005584 2972477408284 3005446751936 3071743371464 3117590287456 3146327068433 3193287173932 3312439680422 3801006186272 3857737621888 3942834775312 4038569072914 4098846223256 4189261948769 4359091356608 4631534566396 5512968480416 5595251592064 5731107521008 5857529010442 5922498011168 5944954816568 6010893503872 6143486742928 6235180574912 6292654136866 6386574347864 6527454664361 6624879360844 7602012372544 7885669550624 7958356702507 8077138145828 8197692446512 8378523897538 8718182713216 9263069132792 11025936960832 11462215042016 11715058020884 11844996022336 11889909633136 12286973485856 12470361149824 12585308273732 12773148695728 13054909328722 13249758721688 15204024745088 15771339101248 15916713405014 16154276291656 16395384893024 16510620621619 16757047795076 18526138265584 22051873921664 22924430084032 23430116041768 23689992044672 23779819266272 24573946971712 25170616547464 25546297391456 25725850736011 26109818657444 26499517443376 31542678202496 31833426810028 32308552583312 32790769786048 33021241243238 33514095590152 34327837119769 37052276531168 45848860168064 46860232083536 47559638532544 49147893943424 49788996588757 50341233094928 51092594782912 51451701472022 52219637314888 52999034886752 53487560163361 63666853620056 64617105166624 65581539572096 66042482486476 67028191180304 68655674239538 71217453129073 74104553062336 93720464167072 95119277065088 99577993177514 100682466189856 102185189565824 102903402944044 104439274629776 105998069773504 106975120326722 110966729294137 127333707240112 129234210333248 132084964972952 134056382360608 135292063942619 137311348479076 142434906258146 148209106124672 187440928334144 199155986355028 201364932379712 205806805888088 208878549259552 211996139547008 213950240653444 221933458588274 254667414480224 258468420666496 264169929945904 268112764721216 270584127885238 274622696958152 280680550567523 284869812516292 374881856668288 398311972710056 402729864759424 411613611776176 417757098519104 427900481306888 437339462512187 443866917176548 509334828960448 528339859891808 536225529442432 541168255770476 549245393916304 561361101135046 569739625032584 796623945420112 823227223552352 835514197038208 855800962613776 874678925024374 887733834353096 1018669657920896 1056679719783616 1082336511540952 1098490787832608 1106211581648473 1122722202270092 1139479250065168 1593247890840224 1646454447104704 1711601925227552 1749357850048748 1775467668706192 2113359439567232 2164673023081904 2196981575665216 2212423163296946 2245444404540184 2278958500130336 2299965087024523 3186495781680448 3292908894209408 3423203850455104 3498715700097496 3550935337412384 4329346046163808 4393963151330432 4424846326593892 4490888809080368 4557917000260672 4599930174049046 4771569359647891 6372991563360896 6846407700910208 6997431400194992 7101870674824768 7434770862707179 8658692092327616 8849692653187784 8981777618160736 9115834000521344 9199860348098092 9543138719295782 13994862800389984 14203741349649536 14869541725414358 17317384184655232 17699385306375568 17963555236321472 18399720696196184 18805596888024041 19086277438591564 27989725600779968 29739083450828716 35398770612751136 35927110472642944 36799441392392368 37611193776048082 38172554877183128 55979451201559936 59478166901657432 70797541225502272 73598882784784736 75222387552096164 76345109754366256 118956333803314864 141595082451004544 147197765569569472 150444775104192328 152690219508732512 237912667606629728 294395531139138944 300889550208384656 305380439017465024 319695147096408697 475825335213259456 601779100416769312 610760878034930048 639390294192817394 951650670426518912 1203558200833538624 1278780588385634788 2407116401667077248 2557561176771269576 5115122353542539152 10230244707085078304 20460489414170156608 40920978828340313216
- Sum of all divisors σ(n): 90617333464140159600
- Sum of proper divisors (its aliquot sum) s(n): 49696354635799846384
- 40920978828340313216 is an abundant number, because the sum of its proper divisors (49696354635799846384) is greater than itself. Its abundance is 8775375807459533168
Bases of 40920978828340313216
- Binary: 1000110111111001001000010101101111100011001000000100111100100000002
- Hexadecimal: 0x237E4856F8C813C80
- Base-36: 8MWCCCOSU8BY8
Squares and roots of 40920978828340313216
- 40920978828340313216 squared (409209788283403132162) is 1674526508269476153397764994780984262656
- 40920978828340313216 cubed (409209788283403132163) is 68523263792389864093147257638350290241733507017237852061696
-
The
square root of 40920978828340313216 is 6396950744.5610610405 -
The
cube root of 40920978828340313216 is 3446000.5134727575
Scales and comparisons
How big is 40920978828340313216?- 40,920,978,828,340,313,216 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 40,920,978,828,340,313,216 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 40920978828340313216 cubic inches would be around 287166.7 feet tall.
Recreational maths with 40920978828340313216
- 40920978828340313216 backwards is 61231304382887902904
- The number of decimal digits it has is: 20
- The sum of 40920978828340313216's digits is 80
- More coming soon!
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The information we have on file for 40920978828340313216 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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