13973469979968000
13,973,469,979,968,000 is an even composite number composed of five prime numbers multiplied together.
13973469979968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13973469979968000:
29 × 33 × 53 × 313 × 5212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 31 × 521 × 521)See below for interesting mathematical facts about the number 13973469979968000 from the Numbermatics database.
Names of 13973469979968000
- Cardinal: 13973469979968000 can be written as Thirteen quadrillion, nine hundred seventy-three trillion, four hundred sixty-nine billion, nine hundred seventy-nine million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3973469979968 × 1016
Factors of 13973469979968000
Divisors of 13973469979968000
- 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 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 90 93 96 100 108 120 124 125 128 135 144 150 155 160 180 186 192 200 216 225 240 248 250 256 270 279 288 300 310 320 360 372 375 384 400 432 450 465 480 496 500 512 521 540 558 576 600 620 640 675 720 744 750 768 775 800 837 864 900 930 960 961 992 1000 1042 1080 1116 1125 1152 1200 1240 1280 1350 1395 1440 1488 1500 1536 1550 1563 1600 1674 1728 1800 1860 1920 1922 1984 2000 2084 2160 2232 2250 2304 2325 2400 2480 2560 2605 2700 2790 2880 2883 2976 3000 3100 3126 3200 3348 3375 3456 3600 3720 3840 3844 3875 3968 4000 4168 4185 4320 4464 4500 4608 4650 4689 4800 4805 4960 5210 5400 5580 5760 5766 5952 6000 6200 6252 6400 6696 6750 6912 6975 7200 7440 7680 7688 7750 7815 7936 8000 8336 8370 8640 8649 8928 9000 9300 9378 9600 9610 9920 10420 10800 11160 11520 11532 11625 11904 12000 12400 12504 12800 13025 13392 13500 13824 13950 14067 14400 14415 14880 15376 15500 15630 15872 16000 16151 16672 16740 17280 17298 17856 18000 18600 18756 19200 19220 19840 20840 20925 21600 22320 23040 23064 23250 23445 23808 24000 24025 24800 25008 25947 26050 26784 27000 27900 28134 28800 28830 29760 29791 30752 31000 31260 32000 32302 33344 33480 34560 34596 34875 35712 36000 37200 37512 38400 38440 39075 39680 41680 41850 43200 43245 44640 46128 46500 46890 47616 48000 48050 48453 49600 50016 51894 52100 53568 54000 55800 56268 57600 57660 59520 59582 61504 62000 62520 64000 64604 65125 66688 66960 69120 69192 69750 70335 71424 72000 72075 74400 75024 76880 78150 79360 80755 83360 83700 86400 86490 89280 89373 92256 93000 93780 96000 96100 96906 99200 100032 103788 104200 104625 107136 108000 111600 112536 115200 115320 117225 119040 119164 120125 123008 124000 125040 129208 129735 130250 133376 133920 138384 139500 140670 142848 144000 144150 145359 148800 148955 150048 153760 156300 161510 166720 167400 172800 172980 178560 178746 184512 186000 187560 192000 192200 193812 195375 198400 200064 207576 208400 209250 214272 216000 216225 223200 225072 230640 234450 238080 238328 240250 242265 246016 248000 250080 258416 259470 260500 266752 267840 268119 271441 276768 279000 281340 288000 288300 290718 297600 297910 300096 307520 312600 323020 333440 334800 345600 345960 351675 357120 357492 360375 369024 372000 375120 384400 387624 390750 396800 400128 403775 415152 416800 418500 428544 432000 432450 436077 446400 446865 450144 461280 468900 476656 480500 484530 492032 496000 500160 500681 516832 518940 521000 535680 536238 542882 553536 558000 562680 576000 576600 581436 586125 595200 595820 600192 615040 625200 646040 648675 666880 669600 691920 703350 714240 714984 720750 726795 738048 744000 744775 750240 768800 775248 781500 800256 804357 807550 814323 830304 833600 837000 864000 864900 872154 892800 893730 900288 922560 937800 953312 961000 969060 992000 1000320 1001362 1033664 1037880 1042000 1071360 1072476 1081125 1085764 1107072 1116000 1125360 1153200 1162872 1172250 1190400 1191640 1200384 1211325 1230080 1250400 1292080 1297350 1333760 1339200 1340595 1357205 1383840 1406700 1429968 1441500 1453590 1476096 1488000 1489550 1500480 1502043 1537600 1550496 1563000 1608714 1615100 1628646 1660608 1667200 1674000 1728000 1729800 1744308 1758375 1785600 1787460 1800576 1845120 1875600 1906624 1922000 1938120 1984000 2000640 2002724 2018875 2067328 2075760 2084000 2142720 2144952 2162250 2171528 2180385 2214144 2232000 2234325 2250720 2306400 2325744 2344500 2383280 2400768 2422650 2442969 2460160 2500800 2503405 2584160 2594700 2678400 2681190 2714410 2767680 2813400 2859936 2883000 2907180 2976000 2979100 3000960 3004086 3075200 3100992 3126000 3217428 3230200 3243375 3257292 3321216 3334400 3348000 3459600 3488616 3516750 3571200 3574920 3601152 3633975 3690240 3723875 3751200 3813248 3844000 3876240 4001280 4005448 4021785 4037750 4071615 4134656 4151520 4168000 4289904 4324500 4343056 4360770 4428288 4464000 4468650 4501440 4506129 4612800 4651488 4689000 4766560 4845300 4885938 5001600 5006810 5168320 5189400 5356800 5362380 5428820 5535360 5626800 5719872 5766000 5814360 5952000 5958200 6001920 6008172 6056625 6150400 6201984 6252000 6434856 6460400 6486750 6514584 6642432 6668800 6696000 6702975 6786025 6919200 6977232 7033500 7149840 7202304 7267950 7328907 7380480 7447750 7502400 7510215 7626496 7688000 7752480 8010896 8043570 8075500 8143230 8269312 8303040 8336000 8414671 8579808 8649000 8686112 8721540 8928000 8937300 9002880 9012258 9225600 9302976 9378000 9533120 9690600 9771876 10003200 10013620 10336640 10378800 10713600 10724760 10857640 10901925 11070720 11171625 11253600 11439744 11532000 11628720 11916400 12003840 12016344 12113250 12214845 12300800 12403968 12504000 12517025 12869712 12920800 12973500 13029168 13284864 13392000 13405950 13518387 13572050 13838400 13954464 14067000 14299680 14535900 14657814 14895500 15004800 15020430 15252992 15376000 15504960 15521111 16021792 16087140 16151000 16286460 16606080 16672000 16829342 17159616 17298000 17372224 17443080 17856000 17874600 18005760 18024516 18169875 18451200 18605952 18756000 19066240 19381200 19543752 20006400 20027240 20108925 20358075 20673280 20757600 21449520 21715280 21803850 22141440 22343250 22507200 22530645 22879488 23064000 23257440 23832800 24032688 24226500 24429690 24807936 25008000 25034050 25244013 25739424 25841600 25947000 26058336 26784000 26811900 27036774 27144100 27676800 27908928 28134000 28599360 29071800 29315628 29791000 30009600 30040860 30752000 31009920 31042222 32043584 32174280 32302000 32572920 33212160 33344000 33514875 33658684 33930125 34319232 34596000 34744448 34886160 35749200 36011520 36049032 36339750 36644535 36902400 37211904 37512000 37551075 38132480 38762400 39087504 40054480 40217850 40716150 41346560 41515200 42073355 42899040 43430560 43607700 44686500 45014400 45061290 45758976 46128000 46514880 46563333 47665600 48065376 48453000 48859380 50016000 50068100 50488026 51478848 51683200 51894000 52116672 53568000 53623800 54073548 54288200 54509625 55353600 55817856 56268000 57198720 58143600 58631256 59582000 60019200 60081720 61074225 61504000 62019840 62084444 62585125 64087168 64348560 64604000 65145840 66424320 67029750 67317368 67591935 67860250 68638464 69192000 69488896 69772320 71498400 72098064 72679500 73289070 74423808 75024000 75102150 75732039 76264960 77524800 77605555 78175008 80108960 80435700 81432300 83030400 84146710 85798080 86861120 87215400 89373000 90028800 90122580 92256000 93029760 93126666 95331200 96130752 96906000 97718760 100032000 100136200 100544625 100976052 101790375 102957696 103366400 103788000 104233344 107247600 108147096 108576400 109019250 110707200 111635712 112536000 112653225 114397440 116287200 117262512 119164000 120163440 122148450 124039680 124168888 125170250 126220065 128174336 128697120 129208000 130291680 134059500 134634736 135183870 135720500 137276928 138384000 138977792 139544640 139689999 142996800 144196128 145359000 146578140 150048000 150204300 151464078 155049600 155211110 156350016 160217920 160871400 162864600 166060800 168293420 171596160 173722240 174430800 178746000 180057600 180245160 183222675 184512000 186059520 186253332 187755375 190662400 192261504 193812000 195437520 200272400 201089250 201952104 203580750 205915392 206732800 207576000 208466688 210366775 214495200 216294192 217152800 218038500 223271424 225072000 225306450 227196117 228794880 232574400 232816665 234525024 238328000 240326880 244296900 248337776 250340500 252440130 256348672 257394240 258416000 260583360 260854801 268119000 269269472 270367740 271441000 276768000 279089280 279379998 285993600 288392256 290718000 293156280 300096000 300408600 302928156 305371125 310099200 310422220 312700032 320435840 321742800 325729200 332121600 336586840 337959675 343192320 347444480 348861600 357492000 360490320 366445350 372119040 372506664 375510750 378660195 381324800 384523008 387624000 388027775 390875040 400544800 402178500 403904208 407161500 411830784 415152000 416933376 419069997 420733550 428990400 432588384 434305600 436077000 450144000 450612900 454392234 465148800 465633330 469050048 476656000 480653760 488593800 496675552 500681000 504880260 514788480 516832000 521166720 521709602 536238000 538538944 540735480 542882000 553536000 558178560 558759996 563266125 571987200 576784512 581436000 586312560 600817200 605856312 610742250 620198400 620844440 625400064 631100325 640871680 643485600 651458400 673173680 675919350 686384640 694888960 697723200 698449995 714984000 720980640 732890700 745013328 751021500 757320390 769046016 775248000 776055550 781750080 782564403 801089600 804357000 807808416 814323000 830304000 838139994 841467100 857980800 865176768 868611200 872154000 900288000 901225800 908784468 916113375 930297600 931266660 938100096 953312000 961307520 977187600 993351104 1001362000 1009760520 1029576960 1033664000 1042333440 1043419204 1051833875 1072476000 1077077888 1081470960 1085764000 1116357120 1117519992 1126532250 1135980585 1143974400 1153569024 1162872000 1164083325 1172625120 1201634400 1211712624 1221484500 1241688880 1250800128 1262200650 1281743360 1286971200 1302916800 1304274005 1346347360 1351838700 1395446400 1396899990 1429968000 1441961280 1465781400 1490026656 1502043000 1514640780 1550496000 1552111100 1563500160 1565128806 1602179200 1608714000 1615616832 1628646000 1660608000 1676279988 1682934200 1689798375 1715961600 1730353536 1737222400 1744308000 1802451600 1817568936 1832226750 1860595200 1862533320 1876200192 1893300975 1906624000 1922615040 1940138875 1954375200 1986702208 2002724000 2019521040 2059153920 2084666880 2086838408 2095349985 2103667750 2144952000 2154155776 2162941920 2171528000 2235039984 2253064500 2271961170 2307138048 2325744000 2328166650 2345250240 2347693209 2403268800 2423425248 2442969000 2483377760 2524401300 2573942400 2605833600 2608548010 2692694720 2703677400 2790892800 2793799980 2859936000 2883922560 2931562800 2980053312 3004086000 3029281560 3100992000 3104222200 3127000320 3130257612 3155501625 3204358400 3217428000 3231233664 3257292000 3352559976 3365868400 3379596750 3431923200 3460707072 3474444800 3488616000 3492249975 3604903200 3635137872 3664453500 3725066640 3752400384 3786601950 3845230080 3880277750 3908750400 3912822015 3973404416 4005448000 4039042080 4173676816 4190699970 4207335500 4289904000 4308311552 4325883840 4343056000 4470079968 4506129000 4543922340 4651488000 4656333300 4690500480 4695386418 4806537600 4846850496 4885938000 4966755520 5048802600 5147884800 5211667200 5217096020 5385389440 5407354800 5581785600 5587599960 5679902925 5719872000 5767845120 5820416625 5863125600 5960106624 6008172000 6058563120 6208444400 6254000640 6260515224 6311003250 6408716800 6434856000 6462467328 6514584000 6521370025 6705119952 6731736800 6759193500 6921414144 6977232000 6984499950 7043079627 7209806400 7270275744 7328907000 7450133280 7573203900 7760555500 7817500800 7825644030 7946808832 8010896000 8078084160 8086498831 8347353632 8381399940 8414671000 8579808000 8651767680 8686112000 8940159936 9012258000 9087844680 9302976000 9312666600 9381000960 9390772836 9466504875 9613075200 9693700992 9771876000 9933511040 10097605200 10295769600 10423334400 10434192040 10476749925 10770778880 10814709600 11175199920 11359805850 11535690240 11640833250 11726251200 11738466045 11920213248 12016344000 12117126240 12416888800 12521030448 12622006500 12869712000 12924934656 13029168000 13042740050 13410239904 13463473600 13518387000 13954464000 13968999900 14086159254 14419612800 14540551488 14657814000 14900266560 15146407800 15521111000 15635001600 15651288060 16021792000 16156168320 16172997662 16694707264 16762799880 16829342000 17159616000 17303535360 17372224000 17461249875 17880319872 18024516000 18175689360 18625333200 18762001920 18781545672 18933009750 19226150400 19387401984 19543752000 19564110075 19867022080 20195210400 20868384080 20953499850 21541557760 21629419200 22350399840 22719611700 23281666500 23452502400 23476932090 23840426496 24032688000 24234252480 24259496493 24833777600 25042060896 25244013000 25739424000 26058336000 26085480100 26820479808 26926947200 27036774000 27908928000 27937999800 28172318508 28399514625 28839225600 29081102976 29315628000 29800533120 30292815600 31042222000 31270003200 31302576120 32043584000 32312336640 32345995324 32606850125 33389414528 33525599760 33658684000 34607070720 34922499750 35215398135 35760639744 36049032000 36351378720 37250666400 37563091344 37866019500 38774803968 39087504000 39128220150 39734044160 40390420800 40432494155 41736768160 41906999700 43258838400 44700799680 45439223400 46563333000 46905004800 46953864180 48065376000 48468504960 48518992986 49667555200 50084121792 50488026000 51478848000 52116672000 52170960200 52383749625 53640959616 53853894400 54073548000 55875999600 56344637016 56799029250 57678451200 58162205952 58631256000 58692330225 59601066240 60585631200 62084444000 62605152240 64624673280 64691990648 65213700250 66778829056 67051199520 67317368000 69844999500 70430796270 71521279488 72098064000 72702757440 72778489479 74501332800 75126182688 75732039000 78175008000 78256440300 80780841600 80864988310 83473536320 83813999400 86517676800 89401599360 90878446800 93126666000 93810009600 93907728360 96130752000 96937009920 97037985972 97820550375 99335110400 100168243584 100976052000 104341920400 104767499250 107281919232 107707788800 108147096000 111751999200 112689274032 113598058500 116324411904 117262512000 117384660450 119202132480 121171262400 121297482465 124168888000 125210304480 129383981296 130427400500 133557658112 134102399040 134634736000 139689999000 140861592540 144196128000 145405514880 145556978958 149002665600 150252365376 151464078000 156350016000 156512880600 161561683200 161729976620 166947072640 167627998800 173035353600 176076990675 178803198720 181756893600 186253332000 187815456720 193874019840 194075971944 195641100750 198670220800 200336487168 201952104000 202162470775 208683840800 209534998500 214563838464 216294192000 218335468437 223503998400 225378548064 227196117000 234525024000 234769320900 242342524800 242594964930 248337776000 250420608960 258767962592 260854801000 268204798080 269269472000 279379998000 281723185080 288392256000 290811029760 291113957916 293461651125 298005331200 300504730752 302928156000 313025761200 323123366400 323459953240 333894145280 335255997600 352153981350 357606397440 363513787200 363892447395 372506664000 375630913440 388151943888 391282201500 400672974336 403904208000 404324941550 417367681600 419069997000 432588384000 436670936874 447007996800 450757096128 454392234000 469050048000 469538641800 484685049600 485189929860 496675552000 500841217920 517535925184 521709602000 536409596160 538538944000 558759996000 563446370160 581622059520 582227915832 586923302250 596010662400 601009461504 605856312000 606487412325 626051522400 646919906480 667788290560 670511995200 704307962700 727027574400 727784894790 745013328000 751261826880 776303887776 782564403000 807808416000 808649883100 834735363200 838139994000 865176768000 873341873748 880384953375 894015993600 901514192256 908784468000 939077283600 969370099200 970379859720 993351104000 1001682435840 1010812353875 1035071850368 1043419204000 1072819192320 1091677342185 1117519992000 1126892740320 1164455831664 1173846604500 1202018923008 1211712624000 1212974824650 1252103044800 1293839812960 1341023990400 1408615925400 1454055148800 1455569789580 1490026656000 1502523653760 1552607775552 1565128806000 1615616832000 1617299766200 1669470726400 1676279988000 1746683747496 1760769906750 1788031987200 1803028384512 1817568936000 1819462236975 1878154567200 1940759719440 2003364871680 2021624707750 2070143700736 2086838408000 2183354684370 2235039984000 2253785480640 2328911663328 2347693209000 2423425248000 2425949649300 2504206089600 2587679625920 2682047980800 2817231850800 2908110297600 2911139579160 2980053312000 3005047307520 3032437061625 3105215551104 3130257612000 3234599532400 3338941452800 3352559976000 3493367494992 3521539813500 3606056769024 3635137872000 3638924473950 3756309134400 3881519438880 4043249415500 4140287401472 4173676816000 4366709368740 4470079968000 4507570961280 4657823326656 4695386418000 4846850496000 4851899298600 5008412179200 5175359251840 5364095961600 5458386710925 5634463701600 5822279158320 6010094615040 6064874123250 6210431102208 6260515224000 6469199064800 6705119952000 6986734989984 7043079627000 7270275744000 7277848947900 7512618268800 7763038877760 8086498831000 8347353632000 8733418737480 8940159936000 9015141922560 9097311184875 9315646653312 9390772836000 9703798597200 10016824358400 10350718503680 10916773421850 11268927403200 11644558316640 12129748246500 12420862204416 12521030448000 12938398129600 13410239904000 13973469979968 14086159254000 14540551488000 14555697895800 15025236537600 15526077755520 16172997662000 16694707264000 17466837474960 18030283845120 18194622369750 18631293306624 18781545672000 19407597194400 20701437007360 21833546843700 22537854806400 23289116633280 24259496493000 25042060896000 25876796259200 26820479808000 27291933554625 27946939959936 28172318508000 29111395791600 30050473075200 31052155511040 32345995324000 34933674949920 36389244739500 37262586613248 37563091344000 38815194388800 43667093687400 45075709612800 46578233266560 48518992986000 50084121792000 51753592518400 54583867109250 55893879919872 56344637016000 58222791583200 62104311022080 64691990648000 69867349899840 72778489479000 75126182688000 77630388777600 87334187374800 90151419225600 93156466533120 97037985972000 103507185036800 109167734218500 111787759839744 112689274032000 116445583166400 129383981296000 139734699799680 145556978958000 150252365376000 155260777555200 174668374749600 186312933066240 194075971944000 218335468437000 225378548064000 232891166332800 258767962592000 279469399599360 291113957916000 310521555110400 349336749499200 388151943888000 436670936874000 450757096128000 465782332665600 517535925184000 558938799198720 582227915832000 698673498998400 776303887776000 873341873748000 931564665331200 1164455831664000 1397346997996800 1552607775552000 1746683747496000 2328911663328000 2794693995993600 3493367494992000 4657823326656000 6986734989984000 13973469979968000
- Sum of all divisors σ(n): 53443525192611840
- Sum of proper divisors (its aliquot sum) s(n): 39470055212643840
- 13973469979968000 is an abundant number, because the sum of its proper divisors (39470055212643840) is greater than itself. Its abundance is 25496585232675840
Bases of 13973469979968000
- Binary: 1100011010010011001100000000100110111110000010000000002
- Hexadecimal: 0x31A4CC026F8200
- Base-36: 3TL6JHLRPC0
Squares and roots of 13973469979968000
- 13973469979968000 squared (139734699799680002) is 195257863281066898321281024000000
- 13973469979968000 cubed (139734699799680003) is 2728429890910684354439138643261378527232000000000
-
The
square root of 13973469979968000 is 118209432.7030123261 -
The
cube root of 13973469979968000 is 240861.8893826905
Scales and comparisons
How big is 13973469979968000?- 13,973,469,979,968,000 seconds is equal to 444,313,122 years, 30 weeks, 2 days.
-
To count from 1 to 13,973,469,979,968,000 would take you about one billion, three hundred thirty-two million, nine hundred thirty-nine thousand, three 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 13973469979968000 cubic inches would be around 20071.8 feet tall.
Recreational maths with 13973469979968000
- 13973469979968000 backwards is 00086997996437931
- 13973469979968000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13973469979968000's digits is 90
- 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 13973469979968000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 13973469979968000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/13973469979968000/
Chicago style:
Numbermatics. 2024. "Number 13973469979968000 - Facts about the integer". https://numbermatics.com/n/13973469979968000/
The information we have on file for 13973469979968000 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 13973469979968000, math, Factors of 13973469979968000, curriculum, school, college, exams, university, Prime factorization of 13973469979968000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred seventy-three trillion, four hundred sixty-nine billion, nine hundred seventy-nine million, nine hundred sixty-eight thousand.