12983742168829717862400
12,983,742,168,829,717,862,400 is an even composite number composed of six prime numbers multiplied together.
12983742168829717862400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 12983742168829717862400:
211 × 3 × 52 × 472 × 1312 × 472212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 47 × 47 × 131 × 131 × 47221 × 47221)See below for interesting mathematical facts about the number 12983742168829717862400 from the Numbermatics database.
Names of 12983742168829717862400
- Cardinal: 12983742168829717862400 can be written as Twelve sextillion, nine hundred eighty-three quintillion, seven hundred forty-two quadrillion, one hundred sixty-eight trillion, eight hundred twenty-nine billion, seven hundred seventeen million, eight hundred sixty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.29837421688297178624 × 1022
Factors of 12983742168829717862400
Divisors of 12983742168829717862400
- Number of divisors d(n): 1944
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 64 75 80 94 96 100 120 128 131 141 150 160 188 192 200 235 240 256 262 282 300 320 376 384 393 400 470 480 512 524 564 600 640 655 705 752 768 786 800 940 960 1024 1048 1128 1175 1200 1280 1310 1410 1504 1536 1572 1600 1880 1920 1965 2048 2096 2209 2256 2350 2400 2560 2620 2820 3008 3072 3144 3200 3275 3525 3760 3840 3930 4192 4418 4512 4700 4800 5120 5240 5640 6016 6144 6157 6288 6400 6550 6627 7050 7520 7680 7860 8384 8836 9024 9400 9600 9825 10240 10480 11045 11280 12032 12314 12576 12800 13100 13254 14100 15040 15360 15720 16768 17161 17672 18048 18471 18800 19200 19650 20960 22090 22560 24064 24628 25152 25600 26200 26508 28200 30080 30720 30785 31440 33135 33536 34322 35344 36096 36942 37600 38400 39300 41920 44180 45120 47221 48128 49256 50304 51200 51483 52400 53016 55225 56400 60160 61570 62880 66270 67072 68644 70688 72192 73884 75200 76800 78600 83840 85805 88360 90240 92355 94442 96256 98512 100608 102966 104800 106032 110450 112800 120320 123140 125760 132540 134144 137288 141376 141663 144384 147768 150400 153600 153925 157200 165675 167680 171610 176720 180480 184710 188884 197024 201216 205932 209600 212064 220900 225600 236105 240640 246280 251520 257415 265080 268288 274576 282752 283326 288768 289379 295536 300800 307850 314400 331350 335360 343220 353440 360960 369420 377768 394048 402432 411864 419200 424128 429025 441800 451200 461775 472210 481280 492560 503040 514830 530160 549152 565504 566652 578758 591072 601600 615700 628800 662700 670720 686440 706880 708315 721920 738840 755536 788096 804864 806567 823728 838400 848256 858050 868137 883600 902400 923550 944420 985120 1006080 1029660 1060320 1098304 1131008 1133304 1157516 1180525 1182144 1203200 1231400 1257600 1287075 1325400 1341440 1372880 1413760 1416630 1443840 1446895 1477680 1511072 1576192 1613134 1647456 1676800 1696512 1716100 1736274 1767200 1804800 1847100 1888840 1970240 2012160 2059320 2120640 2196608 2219387 2262016 2266608 2315032 2361050 2364288 2406400 2419701 2462800 2515200 2574150 2650800 2745760 2827520 2833260 2893790 2955360 3022144 3152384 3226268 3294912 3353600 3393024 3432200 3472548 3534400 3541575 3609600 3694200 3777680 3940480 4024320 4032835 4118640 4241280 4340685 4393216 4438774 4524032 4533216 4630064 4722100 4728576 4839402 4925600 5030400 5148300 5301600 5491520 5655040 5666520 5787580 5910720 6044288 6185951 6304768 6452536 6589824 6658161 6707200 6786048 6864400 6945096 7068800 7083150 7219200 7234475 7388400 7555360 7880960 8065670 8237280 8482560 8681370 8786432 8877548 9066432 9260128 9444200 9457152 9678804 9851200 10060800 10296600 10603200 10983040 11096935 11310080 11333040 11575160 11821440 12088576 12098505 12371902 12609536 12905072 13179648 13316322 13572096 13728800 13890192 14137600 14166300 14468950 14776800 15110720 15761920 16131340 16474560 16965120 17362740 17572864 17755096 18132864 18520256 18557853 18888400 18914304 19357608 19702400 20121600 20164175 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18914606038152960 19357917117172170 19592186764493312 20648444924983648 21087773540408832 21582018232762164 21966430771259200 22433801638732800 22913079224691200 22959593864640600 23643257547691200 24490233455616640 25219474717537280 25810556156229560 26359716925511040 26977522790952705 27495695069629440 28117031387211776 28776024310349552 29388280146739968 30263369661044736 30612791819520800 30972667387475472 31524343396921600 32263195195286950 32949646156888800 34369618837036800 35146289234014720 35970030387936940 36735350183424960 37829212076305920 38715834234344340 39184373528986624 41296889849967296 42175547080817664 43164036465524328 43932861542518400 44867603277465600 44962537984921175 45826158449382400 45919187729281200 47286515095382400 48394792792930425 48980466911233280 50438949435074560 51621112312459120 52719433851022080 53955045581905410 54991390139258880 57552048620699104 58776560293479936 61225583639041600 61945334774950944 63048686793843200 64526390390573900 65899292313777600 68739237674073600 70292578468029440 71940060775873880 73470700366849920 75658424152611840 77431668468688680 78368747057973248 82593779699934592 84351094161635328 84529571411651809 86328072931048656 87865723085036800 89925075969842350 91652316898764800 91838375458562400 94573030190764800 96789585585860850 97960933822466560 103242224624918240 105438867702044160 107910091163810820 115104097241398208 117553120586959872 122451167278083200 123890669549901888 126097373587686400 129052780781147800 131798584627555200 134887613954763525 137478475348147200 140585156936058880 143880121551747760 146941400733699840 151316848305223680 154863336937377360 165187559399869184 169059142823303618 172656145862097312 175731446170073600 179850151939684700 183676750917124800 189146060381529600 193579171171721700 195921867644933120 206484449249836480 210877735404088320 215820182327621640 230208194482796416 235106241173919744 244902334556166400 247781339099803776 252194747175372800 253588714234955427 258105561562295600 263597169255110400 269775227909527050 274956950696294400 287760243103495520 293882801467399680 309726673874754720 330375118799738368 338118285646607236 345312291724194624 351462892340147200 359700303879369400 367353501834249600 378292120763059200 387158342343443400 391843735289866240 412968898499672960 421755470808176640 422647857058259045 431640364655243280 460416388965592832 489804669112332800 495562678199607552 507177428469910854 516211123124591200 527194338510220800 539550455819054100 575520486206991040 587765602934799360 619453347749509440 660750237599476736 676236571293214472 690624583448389248 702925784680294400 719400607758738800 734707003668499200 756584241526118400 774316684686886800 825937796999345920 845295714116518090 863280729310486560 920832777931185664 979609338224665600 991125356399215104 1014354856939821708 1032422246249182400 1054388677020441600 1079100911638108200 1151040972413982080 1175531205869598720 1238906695499018880 1267943571174777135 1321500475198953472 1352473142586428944 1381249166896778496 1438801215517477600 1469414007336998400 1548633369373773600 1651875593998691840 1690591428233036180 1726561458620973120 1841665555862371328 1959218676449331200 1982250712798430208 2028709713879643416 2064844492498364800 2108777354040883200 2113239285291295225 2158201823276216400 2302081944827964160 2477813390998037760 2535887142349554270 2704946285172857888 2762498333793556992 2877602431034955200 2938828014673996800 3097266738747547200 3303751187997383680 3381182856466072360 3453122917241946240 3683331111724742656 3964501425596860416 4057419427759286832 4129688984996729600 4226478570582590450 4316403646552432800 4604163889655928320 4955626781996075520 5071774284699108540 5409892570345715776 5524996667587113984 5755204862069910400 5877656029347993600 6194533477495094400 6339717855873885675 6607502375994767360 6762365712932144720 6906245834483892480 8114838855518573664 8259377969993459200 8452957141165180900 8632807293104865600 9208327779311856640 9911253563992151040 10143548569398217080 10819785140691431552 11049993335174227968 11510409724139820800 12389066954990188800 12679435711747771350 13524731425864289440 13812491668967784960 16229677711037147328 16518755939986918400 16905914282330361800 17265614586209731200 18416655558623713280 19822507127984302080 20287097138796434160 21639570281382863104 23020819448279641600 24778133909980377600 25358871423495542700 27049462851728578880 27624983337935569920 32459355422074294656 33037511879973836800 33811828564660723600 34531229172419462400 40574194277592868320 43279140562765726208 46041638896559283200 49556267819960755200 50717742846991085400 54098925703457157760 55249966675871139840 64918710844148589312 67623657129321447200 69062458344838924800 81148388555185736640 86558281125531452416 92083277793118566400 99112535639921510400 101435485693982170800 108197851406914315520 129837421688297178624 135247314258642894400 138124916689677849600 162296777110371473280 173116562251062904832 202870971387964341600 216395702813828631040 259674843376594357248 270494628517285788800 276249833379355699200 324593554220742946560 405741942775928683200 432791405627657262080 519349686753188714496 540989257034571577600 649187108441485893120 811483885551857366400 865582811255314524160 1081978514069143155200 1298374216882971786240 1622967771103714732800 2163957028138286310400 2596748433765943572480 3245935542207429465600 4327914056276572620800 6491871084414858931200 12983742168829717862400
- Sum of all divisors σ(n): 44193362722942761832140
- Sum of proper divisors (its aliquot sum) s(n): 31209620554113043969740
- 12983742168829717862400 is an abundant number, because the sum of its proper divisors (31209620554113043969740) is greater than itself. Its abundance is 18225878385283326107340
Bases of 12983742168829717862400
- Binary: 101011111111011001100111100110011110111100100000110010111101011000000000002
- Hexadecimal: 0x2BFD99E67BC832F5800
- Base-36: 2444DWCF2R9ZU2O
Squares and roots of 12983742168829717862400
- 12983742168829717862400 squared (129837421688297178624002) is 168577560706647025819859835097585625333760000
- 12983742168829717862400 cubed (129837421688297178624003) is 2188767583665344680347224316540620588481374026444574633754624000000
-
The
square root of 12983742168829717862400 is 113946224899.4222619147 -
The
cube root of 12983742168829717862400 is 23503540.8389248431
Scales and comparisons
How big is 12983742168829717862400?- 12,983,742,168,829,717,862,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,983,742,168,829,717,862,400 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 12983742168829717862400 cubic inches would be around 1958628.4 feet tall.
Recreational maths with 12983742168829717862400
- 12983742168829717862400 backwards is 00426871792886124738921
- The number of decimal digits it has is: 23
- The sum of 12983742168829717862400's digits is 105
- More coming soon!
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"Number 12983742168829717862400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 12983742168829717862400 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/12983742168829717862400/
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The information we have on file for 12983742168829717862400 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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