13442007384858240
13,442,007,384,858,240 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13442007384858240 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
13442007384858240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13442007384858240:
27 × 34 × 5 × 312 × 43 × 1307 × 4801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 31 × 31 × 43 × 1307 × 4801)See below for interesting mathematical facts about the number 13442007384858240 from the Numbermatics database.
Names of 13442007384858240
- Cardinal: 13442007384858240 can be written as Thirteen quadrillion, four hundred forty-two trillion, seven billion, three hundred eighty-four million, eight hundred fifty-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.344200738485824 × 1016
Factors of 13442007384858240
Divisors of 13442007384858240
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 43 45 48 54 60 62 64 72 80 81 86 90 93 96 108 120 124 128 129 135 144 155 160 162 172 180 186 192 215 216 240 248 258 270 279 288 310 320 324 344 360 372 384 387 405 430 432 465 480 496 516 540 558 576 620 640 645 648 688 720 744 774 810 837 860 864 930 960 961 992 1032 1080 1116 1152 1161 1240 1290 1296 1307 1333 1376 1395 1440 1488 1548 1620 1674 1720 1728 1860 1920 1922 1935 1984 2064 2160 2232 2322 2480 2511 2580 2592 2614 2666 2752 2790 2880 2883 2976 3096 3240 3348 3440 3456 3483 3720 3844 3870 3921 3968 3999 4128 4185 4320 4464 4644 4801 4805 4960 5022 5160 5184 5228 5332 5504 5580 5760 5766 5805 5952 6192 6480 6535 6665 6696 6880 6966 7440 7688 7740 7842 7998 8256 8370 8640 8649 8928 9288 9602 9610 9920 10044 10320 10368 10456 10664 11160 11532 11610 11763 11904 11997 12384 12555 12960 13070 13330 13392 13760 13932 14403 14415 14880 15376 15480 15684 15996 16512 16740 17280 17298 17415 17856 18576 19204 19220 19605 19840 19995 20088 20640 20912 21328 22320 23064 23220 23526 23994 24005 24768 25110 25920 25947 26140 26660 26784 27520 27864 28806 28830 29760 30752 30960 31368 31992 33480 34596 34830 35289 35712 35991 37152 38408 38440 39210 39990 40176 40517 41280 41323 41824 42656 43209 43245 44640 46128 46440 47052 47988 48010 49536 50220 51840 51894 52280 53320 53568 55728 56201 57612 57660 58815 59520 59985 61504 61920 62736 63984 66960 69192 69660 70578 71982 72015 74304 76816 76880 77841 78420 79980 80352 81034 82560 82646 83648 85312 86418 86490 89280 92256 92880 94104 95976 96020 100440 103788 104560 105867 106640 107136 107973 111456 112402 115224 115320 117630 119970 121551 123008 123840 123969 125472 127968 129627 129735 133920 138384 139320 141156 143964 144030 148608 148831 153632 153760 155682 156840 159960 160704 162068 165292 167296 168603 170624 172836 172980 176445 178560 179955 184512 185760 188208 191952 192040 200880 202585 206443 206615 207576 209120 211734 213280 215946 216045 222912 224804 230448 230640 235260 239940 243102 247680 247938 250944 255936 259254 259470 267840 276768 278640 281005 282312 287928 288060 297662 307264 307520 311364 313680 319920 321408 324136 330584 337206 345672 345960 352890 359910 364653 369024 371520 371907 376416 383904 384080 388881 389205 401760 405170 412886 413230 415152 418240 423468 426560 431892 432090 445824 446493 449608 460896 461280 470520 479880 486204 495876 501888 505809 511872 518508 518940 529335 535680 539865 553536 557280 562010 564624 575856 576120 595324 607755 614528 615040 619329 619845 622728 627360 639840 648135 648272 661168 674412 691344 691920 705780 719820 729306 743040 743814 744155 752832 767808 768160 777762 778410 803520 810340 825772 826460 830304 836480 843015 846936 853120 863784 864180 892986 899216 921792 922560 941040 959760 972408 991752 1011618 1032215 1037016 1037880 1058670 1079730 1093959 1107072 1114560 1115721 1124020 1129248 1151712 1152240 1190648 1215510 1238658 1239690 1245456 1254720 1256027 1279680 1296270 1296544 1322336 1339479 1348824 1382688 1383840 1411560 1439640 1458612 1487628 1488310 1505664 1517427 1535616 1536320 1555524 1556820 1607040 1620680 1651544 1652920 1660608 1686030 1693872 1727568 1728360 1742231 1785972 1798432 1823265 1843584 1845120 1857987 1859535 1882080 1919520 1944405 1944816 1983504 2023236 2064430 2074032 2075760 2117340 2159460 2187918 2229120 2231442 2232465 2248040 2258496 2303424 2304480 2381296 2431020 2477316 2479380 2490912 2509440 2512054 2529045 2559360 2592540 2593088 2644672 2678958 2697648 2765376 2767680 2823120 2879280 2917224 2975256 2976620 3034854 3072640 3096645 3111048 3113640 3241360 3281877 3303088 3305840 3321216 3347163 3372060 3387744 3455136 3456720 3484462 3571944 3596864 3646530 3715974 3719070 3764160 3768081 3839040 3888810 3889632 3967008 4018437 4046472 4128860 4148064 4151520 4234680 4318920 4375836 4462884 4464930 4496080 4516992 4552281 4606848 4608960 4613761 4762592 4862040 4954632 4958760 4981824 5024108 5058090 5185080 5186176 5226693 5289344 5357916 5395296 5469795 5530752 5535360 5573961 5578605 5646240 5758560 5834448 5950512 5953240 6069708 6193290 6222096 6227280 6274907 6280135 6399733 6482720 6563754 6606176 6611680 6694326 6697395 6744120 6775488 6910272 6913440 6968924 7143888 7193728 7293060 7431948 7438140 7528320 7536162 7587135 7678080 7777620 7779264 7934016 8036874 8092944 8257720 8296128 8303040 8469360 8637840 8711155 8751672 8925768 8929860 8992160 9104562 9217920 9227522 9289935 9525184 9724080 9909264 9917520 9963648 10048216 10116180 10370160 10453386 10715832 10790592 10939590 11147922 11157210 11292480 11304243 11517120 11668896 11901024 11906480 12055311 12139416 12386580 12444192 12454560 12549814 12560270 12799466 12965440 13127508 13212352 13223360 13388652 13394790 13488240 13550976 13820544 13826880 13841283 13937848 14287776 14586120 14863896 14876280 15072324 15174270 15555240 15558528 15680079 15868032 16073748 16185888 16409385 16515440 16592256 16606080 16721883 16735815 16938720 17275680 17422310 17503344 17851536 17859720 17984320 18209124 18455044 18579870 18824721 18840405 19050368 19199199 19448160 19818528 19835040 20092185 20096432 20232360 20740320 20906772 21431664 21581184 21879180 22295844 22314420 22584960 22608486 22761405 23034240 23068805 23337792 23802048 23812960 24110622 24278832 24773160 24888384 24909120 25099628 25120540 25598932 25930880 26133465 26255016 26424704 26446720 26777304 26789580 26976480 27653760 27682566 27869805 27875696 28575552 29172240 29727792 29752560 30144648 30348540 31110480 31360158 31374535 31998665 32147496 32371776 32818770 33030880 33443766 33471630 33877440 33912729 34551360 34844620 35006688 35703072 35719440 35968640 36418248 36910088 37159740 37649442 37680810 38398398 38896320 39637056 39670080 40184370 40192864 40464720 41480640 41523849 41813544 42863328 43758360 44591688 44628840 45216972 45522810 46137610 46675584 47040237 47604096 47625920 48221244 48557664 49546320 49776768 49818240 50199256 50241080 51197864 52266930 52510032 53554608 53579160 53952960 54009161 55365132 55739610 55751392 56474163 56521215 57151104 57597597 58344480 59455584 59505120 60276555 60289296 60697080 62220960 62720316 62749070 63997330 64294992 64743552 65637540 66061760 66887532 66943260 67754880 67825458 69102720 69206415 69689240 70013376 71406144 71438880 72836496 73820176 74319480 75298884 75361620 76796796 77792640 78400395 79274112 79340160 80368740 80385728 80929440 82961280 83047698 83609415 83627088 85726656 87516720 89183376 89257680 90433944 91045620 92275220 94080474 94123605 95251840 95995995 96442488 97115328 99092640 100398512 100482160 101738187 102395728 104533860 105020064 107109216 107158320 107905920 108018322 110730264 111479220 111502784 112948326 113042430 115195194 116688960 118911168 119010240 120553110 120578592 121394160 124441920 124571547 125440632 125498140 127994660 128589984 131275080 132123520 133775064 133886520 135650916 138412830 139378480 140026752 141120711 142812288 142877760 145672992 147640352 148638960 150597768 150723240 153593592 156800790 160737480 160771456 161858880 162027483 166095396 167218830 167254176 169422489 169563645 171453312 172792791 175033440 178366752 178515360 180867888 182091240 184550440 188160948 188247210 191991990 192884976 194230656 194522117 198185280 198391723 200797024 200964320 203476374 204791456 207619245 209067720 210040128 214218432 214316640 216036644 221460528 222958440 223005568 225896652 226084860 230390388 233377920 235201185 237822336 238020480 241106220 241157184 242788320 248883840 249143094 250881264 250996280 255989320 257179968 262550160 267550128 267773040 269821001 270045805 271301832 276825660 278756960 282241422 282370815 285755520 287987985 291345984 295280704 297277920 301195536 301446480 307187184 313601580 321474960 323717760 324054966 332190792 334437660 334508352 338844978 339127290 345585582 350066880 356733504 357030720 361735776 364182480 369100880 373714641 376321896 376494420 383983980 385769952 389044234 396370560 396783446 401594048 401928640 406952748 409582912 415238490 418135440 420080256 428436864 428633280 432073288 442921056 445916880 451793304 452169720 460780776 470402370 482212440 482314368 485576640 486082449 498286188 501762528 501992560 508267467 508690935 511978640 514359936 518378373 525100320 535100256 535546080 539642002 540091610 542603664 553651320 557513920 564482844 564741630 575975970 582691968 583566351 590561408 594555840 595175169 602391072 602892960 614374368 622857735 627203160 642949920 648109932 664381584 668875320 669016704 677689956 678254580 691171164 700133760 705603555 713467008 714061440 723471552 728364960 738201760 747429282 752643792 752988840 767967960 771539904 778088468 793566892 803188096 803857280 809463003 810137415 813905496 819165824 830476980 836270880 847112445 857266560 863963955 864146576 885842112 891833760 903586608 904339440 921561552 940804740 964424880 971153280 972164898 972610585 991958615 996572376 1003525056 1003985120 1016534934 1017381870 1023957280 1036756746 1050200640 1070200512 1071092160 1079284004 1080183220 1085207328 1107302640 1115027840 1128965688 1129483260 1151951940 1167132702 1189111680 1190350338 1204782144 1205785920 1228748736 1245715470 1254406320 1285899840 1296219864 1328763168 1337750640 1349105005 1355379912 1356509160 1382342328 1411207110 1446943104 1456729920 1458247347 1476403520 1494858564 1505287584 1505977680 1535935920 1543079808 1556176936 1587133784 1618926006 1620274830 1627810992 1660953960 1672541760 1694224890 1727927910 1728293152 1750699053 1771684224 1783667520 1785525507 1807173216 1808678880 1843123104 1868573205 1881609480 1928849760 1944329796 1945221170 1983917230 1993144752 2007050112 2007970240 2033069868 2034763740 2047914560 2073513492 2100401280 2140401024 2142184320 2158568008 2160366440 2170414656 2214605280 2257931376 2258966520 2303903880 2334265404 2380700676 2409564288 2411571840 2428389009 2430412245 2457497472 2491430940 2508812640 2541337335 2571799680 2591891865 2592439728 2657526336 2675501280 2698210010 2710759824 2713018320 2764684656 2822414220 2913459840 2916494694 2917831755 2952807040 2975875845 2989717128 3010575168 3011955360 3071871840 3112353872 3174267568 3237852012 3240549660 3255621984 3321907920 3345083520 3388449780 3455855820 3456586304 3501398106 3567335040 3571051014 3614346432 3617357760 3686246208 3737146410 3763218960 3857699520 3888659592 3890442340 3967834460 3986289504 4015940480 4047315015 4066139736 4069527480 4095829120 4147026984 4317136016 4320732880 4340829312 4374742041 4429210560 4515862752 4517933040 4607807760 4668530808 4761401352 4856778018 4860824490 4982861880 5017625280 5082674670 5183783730 5184879456 5252097159 5315052672 5351002560 5356576521 5396420020 5421519648 5426036640 5529369312 5644828440 5832989388 5835663510 5951751690 5979434256 6021150336 6023910720 6030185627 6143743680 6224707744 6348535136 6475704024 6481099320 6511243968 6643815840 6776899560 6911711640 6913172608 7002796212 7142102028 7228692864 7234715520 7285167027 7291236735 7372492416 7474292820 7526437920 7715399040 7777319184 7780884680 7935668920 7972579008 8094630030 8132279472 8139054960 8294053968 8364451031 8634272032 8641465760 8749484082 8753495265 8858421120 8927627535 9031725504 9035866080 9215615520 9337061616 9522802704 9713556036 9721648980 9965723760 10035250560 10165349340 10367567460 10369758912 10504194318 10702005120 10713153042 10792840040 10843039296 10852073280 11058738624 11289656880 11665978776 11671327020 11903503380 11958868512 12047821440 12060371254 12141945045 12287487360 12449415488 12697070272 12951408048 12962198640 13022487936 13287631680 13553799120 13823423280 14005592424 14284204056 14570334054 14582473470 14948585640 15052875840 15554638368 15561769360 15756291477 15871337840 15945158016 16069729563 16189260060 16264558944 16278109920 16588107936 16728902062 17268544064 17282931520 17498968164 17506990530 17855255070 18063451008 18071732160 18090556881 18431231040 18674123232 19045605408 19427112072 19443297960 19931447520 20330698680 20735134920 20739517824 21008388636 21426306084 21585680080 21686078592 21704146560 21855501081 21873710205 22117477248 22579313760 23331957552 23342654040 23807006760 23917737024 24120742508 24283890090 24898830976 25093353093 25394140544 25902816096 25924397280 26260485795 26575263360 26782882605 27107598240 27646846560 28011184848 28568408112 29140668108 29164946940 29897171280 30105751680 30150928135 31109276736 31123538720 31512582954 31742675680 32139459126 32378520120 32529117888 32556219840 33176215872 33457804124 34537088128 34565863040 34997936328 35013981060 35710510140 36143464320 36181113762 36425835135 36862462080 37348246464 38091210816 38854224144 38886595920 39862895040 40661397360 41470269840 41822255155 42016777272 42852612168 43171360160 43711002162 43747420410 45158627520 46663915104 46685308080 47614013520 47835474048 48241485016 48567780180 50186706186 51805632192 51848794560 52520971590 53565765210 54215196480 54271670643 55293693120 56022369696 57136816224 58281336216 58329893880 59794342560 60301856270 62218553472 62247077440 63025165908 63485351360 64278918252 64757040240 65058235776 65112439680 66352431744 66915608248 69995872656 70027962120 71421020280 72362227524 72851670270 74696492928 75280059279 76182421632 77708448288 77773191840 78781457385 79725790080 80348647815 81322794720 82940539680 83644510310 84033554544 85705224336 86342720320 87422004324 87494840820 90317255040 90452784405 93327830208 93370616160 95228027040 96482970032 97135560360 100373412372 103611264384 103697589120 105041943180 107131530420 108430392960 108543341286 109277505405 110587386240 112044739392 114273632448 116562672432 116659787760 119588685120 120603712540 124494154880 125466765465 126050331816 126970702720 128557836504 129514080480 133831216496 139991745312 140055924240 142842040560 144724455048 145703340540 150560118558 155416896576 155546383680 157562914770 160697295630 162645589440 162815011929 165881079360 167289020620 168067109088 171410448672 172685440640 174844008648 174989681640 180905568810 186655660416 186741232320 190456054080 192965940064 194271120720 200746824744 210083886360 214263060840 217086682572 218555010810 224089478784 225840177837 228547264896 233125344864 233319575520 239177370240 241207425080 250933530930 252100663632 257115673008 259028160960 259297981961 267662432992 271358353215 279983490624 280111848480 285684081120 289448910096 291406681080 301120237116 310833793152 311092767360 315125829540 321394591260 325291178880 325630023858 331762158720 334578041240 336134218176 342820897344 349688017296 349979363280 361811137620 373482464640 376400296395 380912108160 385931880128 388542241440 401493649488 420167772720 428526121680 434173365144 437110021620 451680355674 466250689728 466639151040 482414850160 488445035787 501867061860 504201327264 514231346016 518056321920 518595963922 535324865984 542716706430 559966981248 560223696960 571368162240 578897820192 582813362160 602240474232 630251659080 642789182520 651260047716 669156082480 672268436352 677520533511 685641794688 699376034592 699958726560 723622275240 752800592790 771863760256 777084482880 777893945883 802987298976 814075059645 840335545440 857052243360 868346730288 874220043240 903360711348 932501379456 933278302080 964829700320 976890071574 1003734123720 1008402654528 1028462692032 1037191927844 1070649731968 1085433412860 1120447393920 1129200889185 1142736324480 1157795640384 1165626724320 1204480948464 1260503318160 1285578365040 1296489909805 1302520095432 1338312164960 1355041067022 1398752069184 1399917453120 1447244550480 1505601185580 1554168965760 1555787891766 1605974597952 1628150119290 1680671090880 1714104486720 1736693460576 1748440086480 1806721422696 1929659400640 1953780143148 2007468247440 2016805309056 2056925384064 2074383855688 2170866825720 2258401778370 2315591280768 2331253448640 2333681837649 2408961896928 2442225178935 2521006636320 2571156730080 2592979819610 2605040190864 2676624329920 2710082134044 2797504138368 2799834906240 2894489100960 3011202371160 3111575783532 3211949195904 3256300238580 3361342181760 3387602667555 3428208973440 3473386921152 3496880172960 3613442845392 3859318801280 3889469729415 3907560286296 4014936494880 4148767711376 4341733651440 4516803556740 4662506897280 4667363675298 4817923793856 4884450357870 5042013272640 5142313460160 5185959639220 5210080381728 5353248659840 5420164268088 5788978201920 6022404742320 6223151567064 6512600477160 6775205335110 6946773842304 6993760345920 7001045512947 7226885690784 7778939458830 7815120572592 8029872989760 8297535422752 8683467302880 9033607113480 9334727350596 9635847587712 9768900715740 10084026545280 10284626920320 10371919278440 10420160763456 10840328536176 11577956403840 11668409188245 12044809484640 12446303134128 13025200954320 13550410670220 13987520691840 14002091025894 14453771381568 15557878917660 15630241145184 16059745979520 16595070845504 17366934605760 18067214226960 18669454701192 19537801431480 20743838556880 20840321526912 21003136538841 21680657072352 23336818376490 24089618969280 24892606268256 26050401908640 27100821340440 28004182051788 28907542763136 31115757835320 31260482290368 33190141691008 34733869211520 35005227564735 36134428453920 37338909402384 39075602862960 41487677113760 42006273077682 43361314144704 46673636752980 48179237938560 49785212536512 52100803817280 54201642680880 56008364103576 62231515670640 62520964580736 70010455129470 72268856907840 74677818804768 78151205725920 82975354227520 84012546155364 86722628289408 93347273505960 99570425073024 104201607634560 105015682694205 108403285361760 112016728207152 124463031341280 140020910258940 144537713815680 149355637609536 156302411451840 165950708455040 168025092310728 186694547011920 210031365388410 216806570723520 224033456414304 248926062682560 280041820517880 298711275219072 312604822903680 336050184621456 373389094023840 420062730776820 433613141447040 448066912828608 497852125365120 560083641035760 672100369242912 746778188047680 840125461553640 896133825657216 1120167282071520 1344200738485824 1493556376095360 1680250923107280 2240334564143040 2688401476971648 3360501846214560 4480669128286080 6721003692429120 13442007384858240
- Sum of all divisors σ(n): 50805253867959360
- Sum of proper divisors (its aliquot sum) s(n): 37363246483101120
- 13442007384858240 is an abundant number, because the sum of its proper divisors (37363246483101120) is greater than itself. Its abundance is 23921239098242880
Bases of 13442007384858240
- Binary: 1011111100000101101111001110110011111000011110100000002
- Hexadecimal: 0x2FC16F3B3E1E80
- Base-36: 3OCSKXYLK00
Squares and roots of 13442007384858240
- 13442007384858240 squared (134420073848582402) is 180687562534583460291224895897600
- 13442007384858240 cubed (134420073848582403) is 2428803549941905922268596750020511362533556224000
-
The
square root of 13442007384858240 is 115939671.3159832967 -
The
cube root of 13442007384858240 is 237768.7145638371
Scales and comparisons
How big is 13442007384858240?- 13,442,007,384,858,240 seconds is equal to 427,414,255 years, 50 weeks, 6 days, 14 hours, 24 minutes.
-
To count from 1 to 13,442,007,384,858,240 would take you about one billion, two hundred eighty-two million, two hundred forty-two thousand, seven hundred sixty-seven 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 13442007384858240 cubic inches would be around 19814.1 feet tall.
Recreational maths with 13442007384858240
- 13442007384858240 backwards is 04285848370024431
- The number of decimal digits it has is: 17
- The sum of 13442007384858240's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13442007384858240 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 13442007384858240 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13442007384858240/
Chicago style:
Numbermatics. 2024. "Number 13442007384858240 - Facts about the integer". https://numbermatics.com/n/13442007384858240/
The information we have on file for 13442007384858240 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 13442007384858240, math, Factors of 13442007384858240, curriculum, school, college, exams, university, Prime factorization of 13442007384858240, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, four hundred forty-two trillion, seven billion, three hundred eighty-four million, eight hundred fifty-eight thousand, two hundred forty.