12315122438001824
12,315,122,438,001,824 is an even composite number composed of six prime numbers multiplied together.
What does the number 12315122438001824 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
12315122438001824 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 12315122438001824:
25 × 74 × 29 × 412 × 732 × 617
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 29 × 41 × 41 × 73 × 73 × 617)See below for interesting mathematical facts about the number 12315122438001824 from the Numbermatics database.
Names of 12315122438001824
- Cardinal: 12315122438001824 can be written as Twelve quadrillion, three hundred fifteen trillion, one hundred twenty-two billion, four hundred thirty-eight million, one thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.2315122438001824 × 1016
Factors of 12315122438001824
Divisors of 12315122438001824
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 7 8 14 16 28 29 32 41 49 56 58 73 82 98 112 116 146 164 196 203 224 232 287 292 328 343 392 406 464 511 574 584 617 656 686 784 812 928 1022 1148 1168 1189 1234 1312 1372 1421 1568 1624 1681 2009 2044 2117 2296 2336 2378 2401 2468 2744 2842 2993 3248 3362 3577 4018 4088 4234 4319 4592 4756 4802 4936 5329 5488 5684 5986 6496 6724 7154 8036 8176 8323 8468 8638 9184 9512 9604 9872 9947 10658 10976 11368 11767 11972 13448 14063 14308 14819 16072 16352 16646 16936 17276 17893 19024 19208 19744 19894 20951 21316 22736 23534 23944 25039 25297 26896 28126 28616 29638 30233 32144 33292 33872 34552 35786 37303 38048 38416 39788 41902 42632 45041 45472 47068 47888 48749 50078 50594 53792 56252 57232 58261 59276 60466 64288 66584 67744 69104 69629 71572 74606 76832 79576 82369 83804 85264 86797 90082 94136 95776 97498 98441 100156 101188 103733 112504 114464 116522 118552 120932 122713 125251 133168 138208 139258 143144 146657 149212 154541 159152 164738 167608 170528 173594 175273 177079 180164 188272 194996 196882 200312 202376 207466 211631 218489 225008 233044 237104 241864 245426 250502 261121 266336 278516 286288 293314 298424 309082 315287 318304 329476 335216 341243 347188 350546 354158 360328 376544 389992 393764 400624 404752 407827 414932 423262 436978 450016 466088 474208 483728 490852 501004 522242 557032 572576 576583 586628 596848 607579 618164 630574 658952 670432 682486 694376 701092 708316 720656 726131 733613 779984 787528 801248 809504 815654 829864 846524 858991 873956 876757 932176 967456 981704 1002008 1026599 1037177 1044484 1081787 1114064 1153166 1173256 1193696 1215158 1236328 1239553 1261148 1306189 1317904 1364972 1388752 1402184 1416632 1441312 1452262 1467226 1481417 1529423 1559968 1575056 1631308 1659728 1693048 1717982 1747912 1753514 1827847 1846681 1864352 1963408 2004016 2053198 2074354 2088968 2163574 2207009 2228128 2306332 2346512 2388701 2430316 2472656 2479106 2522296 2612378 2635808 2729944 2777504 2804368 2833264 2854789 2904524 2934452 2962834 3058846 3150112 3262616 3287993 3319456 3386096 3435964 3495824 3507028 3558677 3655694 3693362 3926816 4008032 4036081 4106396 4148708 4177936 4253053 4327148 4414018 4612664 4693024 4777402 4860632 4945312 4958212 5044592 5082917 5135291 5224756 5459888 5608736 5666528 5709578 5809048 5868904 5925668 6012937 6117692 6137299 6336181 6525232 6575986 6772192 6871928 6991648 7014056 7117354 7186193 7260239 7311388 7386724 7572509 8072162 8212792 8297416 8355872 8506106 8654296 8676871 8828036 8958049 9143323 9225328 9554804 9721264 9916424 10089184 10165834 10270582 10449512 10705961 10919776 11419156 11618096 11737808 11851336 12025874 12235384 12274598 12672362 12794929 12926767 13050464 13151972 13743856 14028112 14234708 14372386 14520478 14622776 14773448 15145018 15449063 16144324 16425584 16594832 16720907 17012212 17308592 17353742 17656072 17916098 18286646 18450656 19109608 19442528 19832848 20331668 20541164 20899024 21411922 22838312 23015951 23236192 23475616 23702672 24051748 24470768 24549196 24910739 25344724 25589858 25853534 26303944 27487712 28056224 28469416 28744772 29040956 29245552 29546896 29771371 30078133 30290036 30898126 32288648 32851168 33189664 33441814 34024424 34617184 34707484 35312144 35832196 35947037 36573292 38219216 39665696 40663336 41082328 41798048 42090559 42823844 42961093 44353267 45676624 46031902 47405344 48103496 48941536 49098392 49821478 50689448 50821673 51179716 51707068 52607888 53007563 53553749 56938832 57489544 58081912 58491104 59093792 59542742 60156266 60580072 60738097 61796252 62706343 64003261 64577296 66883628 68048848 69414968 70624288 71664392 71894074 73146584 74941727 75713921 76438432 81326672 82164656 84181118 85647688 85922186 88706534 90487369 91353248 92063804 95351797 96206992 98196784 99642956 101378896 101643346 102359432 103414136 105215776 106015126 107107498 108143441 113877664 114979088 116163824 117046349 119085484 120312532 121160144 121476194 123592504 125412686 128006522 129154592 133767256 134807713 136097696 138829936 143328784 143788148 146293168 149883454 151427842 161111657 162653344 164329312 168362236 171295376 171844372 174375173 177413068 180974738 184127608 190703594 192413984 196393568 199285912 202757792 203286692 204718864 206828272 208399597 210546931 212030252 214214996 216286882 229958176 232327648 234092698 238170968 240625064 242320288 242952388 247185008 250825372 251629259 256013044 259783421 267534512 269615426 277659872 286657568 287576296 292586336 294633913 299766908 302855684 310472869 322223314 336724472 342590752 343688744 348750346 354826136 355751711 361949476 368255216 371052941 374876243 381407188 398571824 406573384 409437728 413656544 416799194 421093862 424060504 428429992 432573764 438944401 448022827 468185396 476341936 481250128 485904776 494370016 501650744 503258518 512026088 519566842 524592089 529997447 535069024 539230852 575152592 589267826 599533816 605711368 620945738 633411583 644446628 667462579 673448944 687377488 697500692 709652272 711503422 723898952 736510432 742105882 749752486 762814376 797143648 813146768 833598388 842187724 848121008 856859984 865147528 877888802 896045654 936370792 943653991 952683872 962500256 971809552 1003301488 1006517036 1024052176 1039133684 1049184178 1059994894 1078461704 1127781599 1150305184 1178535652 1199067632 1211422736 1220626211 1241891476 1266823166 1288893256 1334925158 1346897888 1374754976 1395001384 1419304544 1423006844 1447797904 1473828517 1484211764 1499504972 1525628752 1626293536 1667196776 1684375448 1696242016 1713719968 1730295056 1755777604 1761404813 1792091308 1818483947 1872741584 1887307982 1943619104 2006602976 2013034072 2048104352 2078267368 2098368356 2119989788 2156923408 2173310083 2195703709 2255563198 2357071304 2398135264 2422845472 2441252422 2483782952 2490261977 2533646332 2577786512 2624133701 2669850316 2790002768 2846013688 2895595808 2947657034 2968423528 2999009944 3051257504 3072610807 3136159789 3334393552 3368750896 3460590112 3511555208 3522809626 3584182616 3636967894 3709982129 3745483168 3774615964 3909423677 4026068144 4156534736 4196736712 4239979576 4313846816 4346620166 4391407418 4433881081 4511126396 4672238053 4714142608 4882504844 4967565904 4980523954 5067292664 5155573024 5248267402 5339700632 5527116233 5580005536 5692027376 5895314068 5936847056 5998019888 6145221614 6272319578 6605577937 6668787104 6737501792 7023110416 7045619252 7168365232 7273935788 7419964258 7549231928 7818847354 7894471193 8052136288 8313069472 8393473424 8479959152 8544383477 8693240332 8782814836 8867762162 9022252792 9344476106 9428285216 9765009688 9935131808 9961047908 10134585328 10316799619 10496534804 10679401264 11054232466 11384054752 11790628136 11873694112 11996039776 12290443228 12544639156 12729387629 13211155874 14046220832 14091238504 14336730464 14547871576 14839928516 15098463856 15213170581 15369925963 15637694708 15788942386 16786946848 16959918304 17088766954 17386480664 17565629672 17735524324 18044505584 18368935907 18688952212 19530019376 19922095816 20269170656 20633599238 20993069608 21358802528 21508275649 22108464932 23581256272 24580886456 25089278312 25458775258 25969874903 26422311748 27365965739 28182477008 29095743152 29679857032 30196927712 30426341162 30739851926 31275389416 31577884772 32705666371 34177533908 34772961328 35131259344 35471048648 36089011168 36737871814 37377904424 38689813631 39060038752 39844191632 41267198476 41986139216 43016551298 44216929864 46239045559 47162512544 49161772912 50178556624 50917550516 51939749806 52844623496 54731931478 56364954016 58191486304 59359714064 60852682324 61479703852 62550778832 63155769544 65411332742 68355067816 69545922656 70262518688 70942097296 72217597333 73475743628 74755808848 77379627262 79688383264 82534396952 83972278432 86033102596 88433859728 89105713403 92478091118 98323545824 100357113248 101835101032 103879499612 105689246992 107589481741 109463862956 118719428128 121705364648 122959407704 125101557664 126311539088 128582551349 130822665484 136710135632 141884194592 144435194666 146951487256 149511617696 154759254524 160286370757 165068793904 172066205192 176867719456 178211426806 181789124321 184956182236 191561760173 203670202064 207758999224 211378493984 215178963482 218927725912 228939664597 243410729296 245918815408 252623078176 257165102698 261645330968 270828695417 273420271264 288870389332 293902974512 309518509048 320572741514 323673318913 330137587808 344132410384 356422853612 363578248642 369912364472 383123520346 407340404128 415517998448 430357926964 437855451824 457879329194 486821458592 491837630816 514330205396 523290661936 541657390834 577740778664 587805949024 619037018096 623739993821 641145483028 647346637826 688264820768 712845707224 727156497284 739824728944 753126372187 766247040692 831035996896 860715853928 875710903648 915758658388 1028660410792 1046581323872 1083314781668 1122004595299 1155481557328 1238074036192 1247479987642 1282290966056 1294693275652 1340932321211 1425691414448 1454312994568 1479649457888 1506252744374 1532494081384 1721431707856 1831517316776 1895800867919 2057320821584 2166629563336 2244009190598 2310963114656 2494959975284 2564581932112 2589386551304 2681864642422 2851382828896 2908625989136 3012505488748 3064988162768 3442863415712 3663034633552 3791601735838 4114641643168 4333259126672 4488018381196 4989919950568 5129163864224 5178773102608 5271884605309 5363729284844 5817251978272 6025010977496 6129976325536 7326069267104 7583203471676 7854032167093 8666518253344 8976036762392 9386526248477 9979839901136 10357546205216 10543769210618 10727458569688 12050021954992 13270606075433 15166406943352 15708064334186 17952073524784 18773052496954 19959679802272 21087538421236 21454917139376 24100043909984 26541212150866 30332813886704 31416128668372 35904147049568 37546104993908 42175076842472 42909834278752 53082424301732 54978225169651 60665627773408 62832257336744 75092209987816 84350153684944 106164848603464 109956450339302 125664514673488 150184419975632 168700307369888 212329697206928 219912900678604 251329029346976 300368839951264 384847576187557 424659394413856 439825801357208 769695152375114 879651602714416 1539390304750228 1759303205428832 3078780609500456 6157561219000912 12315122438001824
- Sum of all divisors σ(n): 30456755231443380
- Sum of proper divisors (its aliquot sum) s(n): 18141632793441556
- 12315122438001824 is an abundant number, because the sum of its proper divisors (18141632793441556) is greater than itself. Its abundance is 5826510355439732
Bases of 12315122438001824
- Binary: 1010111100000010001001111000100100100001010100101000002
- Hexadecimal: 0x2BC089E24854A0
- Base-36: 3D9CH58JPNK
Squares and roots of 12315122438001824
- 12315122438001824 squared (123151224380018242) is 151662240662975989410653827326976
- 12315122438001824 cubed (123151224380018243) is 1867739062986248234973362613369704732868532404224
-
The
square root of 12315122438001824 is 110973521.3373074145 -
The
cube root of 12315122438001824 is 230929.5865420987
Scales and comparisons
How big is 12315122438001824?- 12,315,122,438,001,824 seconds is equal to 391,582,800 years, 18 weeks, 2 days, 17 hours, 23 minutes, 44 seconds.
-
To count from 1 to 12,315,122,438,001,824 would take you about one billion, one hundred seventy-four million, seven hundred forty-eight thousand, four hundred one 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 12315122438001824 cubic inches would be around 19244.1 feet tall.
Recreational maths with 12315122438001824
- 12315122438001824 backwards is 42810083422151321
- The number of decimal digits it has is: 17
- The sum of 12315122438001824's digits is 47
- More coming soon!
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The information we have on file for 12315122438001824 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 12315122438001824, math, Factors of 12315122438001824, curriculum, school, college, exams, university, Prime factorization of 12315122438001824, STEM, science, technology, engineering, physics, economics, calculator, twelve quadrillion, three hundred fifteen trillion, one hundred twenty-two billion, four hundred thirty-eight million, one thousand, eight hundred twenty-four.