39968072133609984000
39,968,072,133,609,984,000 is an even composite number composed of seven prime numbers multiplied together.
39968072133609984000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 39968072133609984000:
212 × 3 × 53 × 7 × 13 × 41 × 6974237549
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 41 × 6974237549)See below for interesting mathematical facts about the number 39968072133609984000 from the Numbermatics database.
Names of 39968072133609984000
- Cardinal: 39968072133609984000 can be written as Thirty-nine quintillion, nine hundred sixty-eight quadrillion, seventy-two trillion, one hundred thirty-three billion, six hundred nine million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 3.9968072133609984 × 1019
Factors of 39968072133609984000
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 20
- Sum of prime factors: 6974237620
Divisors of 39968072133609984000
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 41 42 48 50 52 56 60 64 65 70 75 78 80 82 84 91 96 100 104 105 112 120 123 125 128 130 140 150 156 160 164 168 175 182 192 195 200 205 208 210 224 240 246 250 256 260 273 280 287 300 312 320 325 328 336 350 364 375 384 390 400 410 416 420 448 455 480 492 500 512 520 525 533 546 560 574 600 615 624 640 650 656 672 700 728 750 768 780 800 820 832 840 861 875 896 910 960 975 984 1000 1024 1025 1040 1050 1066 1092 1120 1148 1200 1230 1248 1280 1300 1312 1344 1365 1400 1435 1456 1500 1536 1560 1599 1600 1625 1640 1664 1680 1722 1750 1792 1820 1920 1950 1968 2000 2048 2050 2080 2100 2132 2184 2240 2275 2296 2400 2460 2496 2560 2600 2624 2625 2665 2688 2730 2800 2870 2912 3000 3072 3075 3120 3198 3200 3250 3280 3328 3360 3444 3500 3584 3640 3731 3840 3900 3936 4000 4096 4100 4160 4200 4264 4305 4368 4480 4550 4592 4800 4875 4920 4992 5120 5125 5200 5248 5250 5330 5376 5460 5600 5740 5824 6000 6144 6150 6240 6396 6400 6500 6560 6656 6720 6825 6888 7000 7168 7175 7280 7462 7680 7800 7872 7995 8000 8200 8320 8400 8528 8610 8736 8960 9100 9184 9600 9750 9840 9984 10240 10250 10400 10496 10500 10660 10752 10920 11193 11200 11375 11480 11648 12000 12288 12300 12480 12792 12800 13000 13120 13312 13325 13440 13650 13776 14000 14336 14350 14560 14924 15360 15375 15600 15744 15990 16000 16400 16640 16800 17056 17220 17472 17920 18200 18368 18655 19200 19500 19680 19968 20480 20500 20800 20992 21000 21320 21504 21525 21840 22386 22400 22750 22960 23296 24000 24600 24960 25584 25600 26000 26240 26624 26650 26880 27300 27552 28000 28672 28700 29120 29848 30720 30750 31200 31488 31980 32000 32800 33280 33600 34112 34125 34440 34944 35840 35875 36400 36736 37310 38400 39000 39360 39936 39975 41000 41600 41984 42000 42640 43008 43050 43680 44772 44800 45500 45920 46592 48000 49200 49920 51168 51200 52000 52480 53248 53300 53760 54600 55104 55965 56000 57400 58240 59696 61440 61500 62400 62976 63960 64000 65600 66560 66625 67200 68224 68250 68880 69888 71680 71750 72800 73472 74620 76800 78000 78720 79872 79950 82000 83200 83968 84000 85280 86016 86100 87360 89544 89600 91000 91840 93184 93275 96000 98400 99840 102336 102400 104000 104960 106600 107520 107625 109200 110208 111930 112000 114800 116480 119392 123000 124800 125952 127920 128000 131200 133120 133250 134400 136448 136500 137760 139776 143360 143500 145600 146944 149240 153600 156000 157440 159744 159900 164000 166400 167936 168000 170560 172200 174720 179088 179200 182000 183680 186368 186550 192000 196800 199680 199875 204672 208000 209920 213200 215040 215250 218400 220416 223860 224000 229600 232960 238784 246000 249600 251904 255840 256000 262400 266240 266500 268800 272896 273000 275520 279552 279825 287000 291200 293888 298480 307200 312000 314880 319800 328000 332800 336000 341120 344400 349440 358176 358400 364000 367360 372736 373100 384000 393600 399360 399750 409344 416000 419840 426400 430080 430500 436800 440832 447720 448000 459200 465920 466375 477568 492000 499200 503808 511680 512000 524800 533000 537600 545792 546000 551040 559104 559650 574000 582400 587776 596960 624000 629760 639600 656000 665600 672000 682240 688800 698880 716352 716800 728000 734720 746200 768000 787200 798720 799500 818688 832000 839680 852800 861000 873600 881664 895440 896000 918400 931840 932750 955136 984000 998400 1023360 1049600 1066000 1075200 1091584 1092000 1102080 1118208 1119300 1148000 1164800 1175552 1193920 1248000 1259520 1279200 1312000 1331200 1344000 1364480 1377600 1397760 1399125 1432704 1456000 1469440 1492400 1536000 1574400 1599000 1637376 1664000 1705600 1722000 1747200 1763328 1790880 1792000 1836800 1863680 1865500 1910272 1968000 1996800 2046720 2099200 2132000 2150400 2183168 2184000 2204160 2238600 2296000 2329600 2387840 2496000 2519040 2558400 2624000 2688000 2728960 2755200 2795520 2798250 2865408 2912000 2938880 2984800 3148800 3198000 3274752 3328000 3411200 3444000 3494400 3526656 3581760 3584000 3673600 3731000 3820544 3936000 3993600 4093440 4198400 4264000 4368000 4408320 4477200 4592000 4659200 4775680 4992000 5116800 5248000 5376000 5457920 5510400 5591040 5596500 5730816 5824000 5877760 5969600 6297600 6396000 6549504 6656000 6822400 6888000 6988800 7163520 7347200 7462000 7641088 7872000 8186880 8528000 8736000 8816640 8954400 9184000 9318400 9551360 9984000 10233600 10496000 10752000 10915840 11020800 11193000 11461632 11648000 11939200 12595200 12792000 13644800 13776000 13977600 14327040 14694400 14924000 15282176 15744000 16373760 17056000 17472000 17633280 17908800 18368000 19102720 19968000 20467200 20992000 22041600 22386000 22923264 23296000 23878400 25584000 27289600 27552000 27955200 28654080 29388800 29848000 31488000 32747520 34112000 34944000 35817600 36736000 38205440 40934400 44083200 44772000 45846528 46592000 47756800 51168000 54579200 55104000 57308160 59696000 62976000 68224000 69888000 71635200 73472000 76410880 81868800 88166400 89544000 95513600 102336000 110208000 114616320 119392000 136448000 139776000 143270400 146944000 163737600 179088000 191027200 204672000 220416000 229232640 238784000 272896000 286540800 358176000 382054400 409344000 440832000 477568000 573081600 716352000 818688000 955136000 1146163200 1432704000 1910272000 2865408000 5730816000 6974237549 13948475098 20922712647 27896950196 34871187745 41845425294 48819662843 55793900392 69742375490 83690850588 90665088137 97639325686 104613563235 111587800784 139484750980 146458988529 167381701176 174355938725 181330176274 195278651372 209227126470 223175601568 244098314215 271995264411 278969501960 285943739509 292917977058 334763402352 348711877450 362660352548 390557302744 418454252940 446351203136 453325440685 488196628430 523067816175 543990528822 557939003920 571887479018 585835954116 634655616959 669526804704 697423754900 725320705096 732294942645 781114605488 836908505880 857831218527 871779693625 892702406272 906650881370 976393256860 1046135632350 1087981057644 1115878007840 1143774958036 1171671908232 1220491571075 1269311233918 1339053609408 1359976322055 1394847509800 1429718697545 1450641410192 1464589885290 1562229210976 1673817011760 1715662437054 1743559387250 1785404812544 1813301762740 1903966850877 1952786513720 2001606176563 2092271264700 2175962115288 2231756015680 2266627203425 2287549916072 2343343816464 2440983142150 2538622467836 2615339080875 2678107218816 2719952644110 2789695019600 2859437395090 2901282820384 2929179770580 3124458421952 3173278084795 3347634023520 3431324874108 3487118774500 3570809625088 3626603525480 3661474713225 3717268613617 3807933701754 3905573027440 4003212353126 4184542529400 4289156092635 4351924230576 4463512031360 4533254406850 4575099832144 4686687632928 4881966284300 5077244935672 5230678161750 5356214437632 5439905288220 5579390039200 5718874790180 5802565640768 5858359541160 6004818529689 6102457855375 6248916843904 6346556169590 6695268047040 6799881610275 6862649748216 6974237549000 7141619250176 7148593487725 7253207050960 7322949426450 7434537227234 7615867403508 7811146054880 8006424706252 8369085058800 8578312185270 8703848461152 8927024062720 9066508813700 9150199664288 9373375265856 9519834254385 9763932568600 10008030882815 10154489871344 10461356323500 10712428875264 10879810576440 11151805840851 11158780078400 11333136017125 11437749580360 11605131281536 11716719082320 12009637059378 12204915710750 12497833687808 12693112339180 13390536094080 13599763220550 13725299496432 13948475098000 14283238500352 14297186975450 14506414101920 14645898852900 14869074454468 15231734807016 15622292109760 15866390423975 16012849412504 16738170117600 17156624370540 17407696922304 17854048125440 18133017627400 18300399328576 18307373566125 18586343068085 18746750531712 19039668508770 19527865137200 20016061765630 20308979742688 20922712647000 21424857750528 21445780463175 21759621152880 22303611681702 22317560156800 22666272034250 22875499160720 23210262563072 23433438164640 24019274118756 24409831421500 24995667375616 25386224678360 26020880295319 26781072188160 27199526441100 27450598992864 27896950196000 28566477000704 28594373950900 29012828203840 29291797705800 29738148908936 30024092648445 30463469614032 31244584219520 31732780847950 32025698825008 33476340235200 33999408051375 34313248741080 34815393844608 35708096250880 35742967438625 36266035254800 36600798657152 36614747132250 37172686136170 37493501063424 38079337017540 39055730274400 40032123531260 40617959485376 41845425294000 42849715501056 42891560926350 43519242305760 44607223363404 44635120313600 45332544068500 45750998321440 46420525126144 46866876329280 47599171271925 48038548237512 48819662843000 49991334751232 50040154414075 50772449356720 52041760590638 53562144376320 54399052882200 54901197985728 55759029204255 55793900392000 57188747901800 58025656407680 58583595411600 59476297817872 60048185296890 60926939228064 62489168439040 63465561695900 64051397650016 66952680470400 67998816102750 68626497482160 69630787689216 71416192501760 71485934877250 72532070509600 73201597314304 73229494264500 74345372272340 74987002126848 76158674035080 78062640885957 78111460548800 79331952119875 80064247062520 81235918970752 83690850588000 85699431002112 85783121852700 87038484611520 89214446726808 89270240627200 90665088137000 91501996642880 92841050252288 92931715340425 93733752658560 95198342543850 96077096475024 97639325686000 99982669502464 100080308828150 101544898713440 104083521181276 107124288752640 107228902315875 108798105764400 109802395971456 111518058408510 111587800784000 114377495803600 116051312815360 117167190823200 118952595635744 120096370593780 121853878456128 124978336878080 126931123391800 128102795300032 130104401476595 133905360940800 135997632205500 137252994964320 139261575378432 142832385003520 142971869754500 145064141019200 146403194628608 146458988529000 148690744544680 149974004253696 150120463242225 152317348070160 156125281771914 156222921097600 158663904239750 160128494125040 162471837941504 167381701176000 171566243705400 174076969223040 178428893453616 178540481254400 181330176274000 183003993285760 185682100504576 185863430680850 187467505317120 190396685087700 192154192950048 195278651372000 199965339004928 200160617656300 203089797426880 208167042362552 214248577505280 214457804631750 217596211528800 219604791942912 223036116817020 223175601568000 228754991607200 232102625630720 234334381646400 237905191271488 237995856359625 240192741187560 243707756912256 249956673756160 250200772070375 253862246783600 256205590600064 260208802953190 267810721881600 271995264411000 274505989928640 278523150756864 278795146021275 285943739509000 290128282038400 292806389257216 292917977058000 297381489089360 299948008507392 300240926484450 304634696140320 312250563543828 312445842195200 317327808479500 320256988250080 324943675883008 334763402352000 343132487410800 348153938446080 356857786907232 357080962508800 362660352548000 366007986571520 371364201009152 371726861361700 374935010634240 380793370175400 384308385900096 390313204429785 390557302744000 400321235312600 406179594853760 416334084725104 428497155010560 428915609263500 435192423057600 439209583885824 446072233634040 446351203136000 457509983214400 464205251261440 464658576702125 468668763292800 475810382542976 475991712719250 480385482375120 487415513824512 499913347512320 500401544140750 507724493567200 512411181200128 520417605906380 535621443763200 543990528822000 549011979857280 557046301513728 557590292042550 571887479018000 580256564076800 585612778514432 585835954116000 594762978178720 599896017014784 600481852968900 609269392280640 624501127087656 624891684390400 634655616959000 640513976500160 649887351766016 650522007382975 669526804704000 686264974821600 696307876892160 713715573814464 714161925017600 725320705096000 732015973143040 743453722723400 749870021268480 750602316211125 761586740350800 768616771800192 780626408859570 781114605488000 800642470625200 812359189707520 832668169450208 857831218527000 870384846115200 878419167771648 892144467268080 892702406272000 915019966428800 928410502522880 929317153404250 937337526585600 951620765085952 951983425438500 960770964750240 974831027649024 999826695024640 1000803088281500 1015448987134400 1024822362400256 1040835211812760 1071242887526400 1087981057644000 1098023959714560 1114092603027456 1115180584085100 1143774958036000 1160513128153600 1171225557028864 1171671908232000 1189525956357440 1200963705937800 1218538784561280 1249002254175312 1249783368780800 1269311233918000 1281027953000320 1299774703532032 1301044014765950 1339053609408000 1372529949643200 1392615753784320 1393975730106375 1427431147628928 1450641410192000 1464031946286080 1486907445446800 1499740042536960 1501204632422250 1523173480701600 1537233543600384 1561252817719140 1562229210976000 1601284941250400 1624718379415040 1665336338900416 1715662437054000 1740769692230400 1756838335543296 1784288934536160 1785404812544000 1830039932857600 1856821005045760 1858634306808500 1874675053171200 1903241530171904 1903966850877000 1921541929500480 1949662055298048 1951566022148925 2001606176563000 2030897974268800 2049644724800512 2081670423625520 2142485775052800 2175962115288000 2196047919429120 2230361168170200 2287549916072000 2321026256307200 2343343816464000 2379051912714880 2401927411875600 2437077569122560 2498004508350624 2499566737561600 2538622467836000 2562055906000640 2599549407064064 2602088029531900 2678107218816000 2745059899286400 2785231507568640 2787951460212750 2854862295257856 2901282820384000 2928063892572160 2973814890893600 2999480085073920 3002409264844500 3046346961403200 3074467087200768 3122505635438280 3124458421952000 3202569882500800 3249436758830080 3252610036914875 3330672677800832 3431324874108000 3481539384460800 3513676671086592 3568577869072320 3570809625088000 3660079865715200 3717268613617000 3749350106342400 3806483060343808 3807933701754000 3843083859000960 3899324110596096 3903132044297850 4003212353126000 4061795948537600 4099289449601024 4163340847251040 4351924230576000 4392095838858240 4460722336340400 4575099832144000 4642052512614400 4686687632928000 4758103825429760 4803854823751200 4874155138245120 4996009016701248 4999133475123200 5077244935672000 5124111812001280 5204176059063800 5356214437632000 5490119798572800 5570463015137280 5575902920425500 5709724590515712 5802565640768000 5856127785144320 5947629781787200 6004818529689000 6092693922806400 6148934174401536 6245011270876560 6248916843904000 6405139765001600 6498873517660160 6505220073829750 6661345355601664 6862649748216000 6963078768921600 7137155738144640 7320159731430400 7434537227234000 7498700212684800 7612966120687616 7615867403508000 7686167718001920 7798648221192192 7806264088595700 8006424706252000 8123591897075200 8198578899202048 8326681694502080 8703848461152000 8784191677716480 8921444672680800 9150199664288000 9284105025228800 9373375265856000 9516207650859520 9607709647502400 9748310276490240 9757830110744625 9992018033402496 10154489871344000 10248223624002560 10408352118127600 10712428875264000 10980239597145600 11151805840851000 11419449181031424 11605131281536000 11895259563574400 12009637059378000 12185387845612800 12297868348803072 12490022541753120 12497833687808000 12810279530003200 12997747035320320 13010440147659500 13322690711203328 13725299496432000 13926157537843200 14274311476289280 14640319462860800 14869074454468000 14997400425369600 15225932241375232 15231734807016000 15372335436003840 15612528177191400 16012849412504000 16247183794150400 16653363389004160 17407696922304000 17568383355432960 17842889345361600 18300399328576000 18746750531712000 19032415301719040 19215419295004800 19496620552980480 19515660221489250 19984036066804992 20308979742688000 20496447248005120 20816704236255200 21960479194291200 22303611681702000 22838898362062848 23210262563072000 23790519127148800 24019274118756000 24370775691225600 24595736697606144 24980045083506240 24995667375616000 25620559060006400 26020880295319000 26645381422406656 27450598992864000 27852315075686400 28548622952578560 29280638925721600 29738148908936000 30463469614032000 30744670872007680 31225056354382800 32025698825008000 32494367588300800 33306726778008320 34815393844608000 35685778690723200 36600798657152000 37493501063424000 38064830603438080 38430838590009600 38993241105960960 39031320442978500 39968072133609984 40617959485376000 40992894496010240 41633408472510400 43920958388582400 44607223363404000 45677796724125696 46420525126144000 47581038254297600 48038548237512000 48741551382451200 49960090167012480 51241118120012800 52041760590638000 53290762844813312 54901197985728000 57097245905157120 59476297817872000 60926939228064000 61489341744015360 62450112708765600 64051397650016000 64988735176601600 66613453556016640 69630787689216000 71371557381446400 73201597314304000 74987002126848000 76129661206876160 76861677180019200 78062640885957000 79936144267219968 81235918970752000 83266816945020800 87841916777164800 89214446726808000 95162076508595200 96077096475024000 97483102764902400 99920180334024960 102482236240025600 104083521181276000 106581525689626624 109802395971456000 114194491810314240 118952595635744000 121853878456128000 122978683488030720 124900225417531200 128102795300032000 133226907112033280 139261575378432000 142743114762892800 146403194628608000 153723354360038400 156125281771914000 159872288534439936 162471837941504000 166533633890041600 178428893453616000 190324153017190400 192154192950048000 194966205529804800 199840360668049920 204964472480051200 208167042362552000 219604791942912000 228388983620628480 237905191271488000 243707756912256000 249800450835062400 256205590600064000 266453814224066560 285486229525785600 307446708720076800 312250563543828000 319744577068879872 324943675883008000 333067267780083200 356857786907232000 380648306034380800 384308385900096000 399680721336099840 416334084725104000 439209583885824000 475810382542976000 487415513824512000 499600901670124800 512411181200128000 532907628448133120 570972459051571200 614893417440153600 624501127087656000 666134535560166400 713715573814464000 768616771800192000 799361442672199680 832668169450208000 951620765085952000 974831027649024000 999201803340249600 1024822362400256000 1141944918103142400 1249002254175312000 1332269071120332800 1427431147628928000 1537233543600384000 1598722885344399360 1665336338900416000 1903241530171904000 1998403606680499200 2498004508350624000 2664538142240665600 2854862295257856000 3074467087200768000 3330672677800832000 3996807213360998400 4996009016701248000 5709724590515712000 6661345355601664000 7993614426721996800 9992018033402496000 13322690711203328000 19984036066804992000 39968072133609984000
- Sum of all divisors σ(n): 167681659920979276800
- Sum of proper divisors (its aliquot sum) s(n): 127713587787369292800
- 39968072133609984000 is an abundant number, because the sum of its proper divisors (127713587787369292800) is greater than itself. Its abundance is 87745515653759308800
Bases of 39968072133609984000
- Binary: 1000101010101010110001110111011000011110010000001100010000000000002
- Hexadecimal: 0x22AAB1DD879031000
- Base-36: 8FNPN4CKTK16O
Squares and roots of 39968072133609984000
- 39968072133609984000 squared (399680721336099840002) is 1597446790077450938713323824480256000000
- 39968072133609984000 cubed (399680721336099840003) is 63846868535419284758061292658414411162057812475904000000000
-
The
square root of 39968072133609984000 is 6322030696.9841568463 -
The
cube root of 39968072133609984000 is 3419041.7197519855
Scales and comparisons
How big is 39968072133609984000?- 39,968,072,133,609,984,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 39,968,072,133,609,984,000 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 39968072133609984000 cubic inches would be around 284920.1 feet tall.
Recreational maths with 39968072133609984000
- 39968072133609984000 backwards is 00048990633127086993
- The number of decimal digits it has is: 20
- The sum of 39968072133609984000's digits is 87
- 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 39968072133609984000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 39968072133609984000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/39968072133609984000/
Chicago style:
Numbermatics. 2024. "Number 39968072133609984000 - Facts about the integer". https://numbermatics.com/n/39968072133609984000/
The information we have on file for 39968072133609984000 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 39968072133609984000, math, Factors of 39968072133609984000, curriculum, school, college, exams, university, Prime factorization of 39968072133609984000, STEM, science, technology, engineering, physics, economics, calculator, thirty-nine quintillion, nine hundred sixty-eight quadrillion, seventy-two trillion, one hundred thirty-three billion, six hundred nine million, nine hundred eighty-four thousand.