12013057312257684375
12,013,057,312,257,684,375 is an odd composite number composed of five prime numbers multiplied together.
12013057312257684375 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 12013057312257684375:
32 × 55 × 74 × 115 × 10512
(3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 1051 × 1051)See below for interesting mathematical facts about the number 12013057312257684375 from the Numbermatics database.
Names of 12013057312257684375
- Cardinal: 12013057312257684375 can be written as Twelve quintillion, thirteen quadrillion, fifty-seven trillion, three hundred twelve billion, two hundred fifty-seven million, six hundred eighty-four thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.2013057312257684375 × 1019
Factors of 12013057312257684375
Divisors of 12013057312257684375
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 3 5 7 9 11 15 21 25 33 35 45 49 55 63 75 77 99 105 121 125 147 165 175 225 231 245 275 315 343 363 375 385 441 495 525 539 605 625 693 735 825 847 875 1029 1051 1089 1125 1155 1225 1331 1375 1575 1617 1715 1815 1875 1925 2205 2401 2475 2541 2625 2695 3025 3087 3125 3153 3465 3675 3773 3993 4125 4235 4375 4851 5145 5255 5445 5625 5775 5929 6125 6655 6875 7203 7357 7623 7875 8085 8575 9075 9317 9375 9459 9625 11025 11319 11561 11979 12005 12375 12705 13125 13475 14641 15125 15435 15765 17325 17787 18375 18865 19965 20625 21175 21609 21875 22071 24255 25725 26275 26411 27225 27951 28125 28875 29645 30625 33275 33957 34375 34683 36015 36785 38115 39375 40425 41503 42875 43923 45375 46585 47295 48125 51499 53361 55125 56595 57805 59895 60025 61875 63525 65219 65625 66213 67375 73205 75625 77175 78825 79233 80927 83853 86625 88935 91875 94325 99825 102487 103125 104049 105875 108045 110355 121275 124509 127171 128625 131375 131769 132055 136125 139755 144375 148225 153125 154497 161051 166375 169785 173415 180075 183925 190575 195657 196875 202125 207515 214375 219615 226875 232925 236475 237699 240625 242781 257495 266805 275625 282975 289025 290521 299475 300125 307461 309375 317625 326095 331065 336875 360493 366025 373527 378125 381513 385875 394125 396165 404635 419265 433125 444675 456533 459375 463491 471625 483153 499125 512435 520245 529375 540225 551775 566489 586971 606375 622545 635855 643125 656875 658845 660275 680625 698775 717409 721875 728343 741125 772485 805255 831875 848925 867075 871563 890197 900375 919625 922383 952875 978285 1010625 1037575 1071875 1081479 1098075 1104601 1127357 1134375 1144539 1164625 1182375 1188495 1213905 1287475 1334025 1369599 1378125 1398881 1414875 1445125 1449459 1452605 1497375 1500625 1537305 1588125 1630475 1655325 1684375 1699467 1802465 1830125 1867635 1907565 1929375 1970625 1980825 2023175 2096325 2152227 2165625 2223375 2282665 2317455 2358125 2415765 2495625 2523451 2562175 2601225 2614689 2646875 2670591 2701125 2758875 2832445 2934855 3031875 3112725 3179275 3195731 3215625 3244437 3284375 3294225 3301375 3313803 3382071 3403125 3493875 3587045 3641715 3705625 3862425 3965423 4026275 4108797 4159375 4196643 4244625 4335375 4357815 4450985 4501875 4598125 4611915 4764375 4891425 5021863 5053125 5098401 5187875 5407395 5490375 5523005 5636785 5722695 5823125 5911875 5942475 6069525 6231379 6437375 6456681 6670125 6847995 6994405 7074375 7225625 7247295 7263025 7486875 7503125 7570353 7686525 7732207 7891499 7940625 8011773 8152375 8276625 8497335 9012325 9150625 9338175 9537825 9587193 9646875 9792167 9853125 9904125 9941409 10115875 10146213 10481625 10761135 11116875 11413325 11587275 11790625 11896269 12078825 12150611 12478125 12589929 12617255 12810875 13006125 13073445 13352955 13505625 13794375 14162225 14674275 15065589 15159375 15387691 15563625 15896375 15978655 16222185 16471125 16506875 16569015 16910355 17469375 17935225 18208575 18528125 18694137 19312125 19827115 20131375 20543985 20983215 21223125 21676875 21789075 22254925 22509375 22711059 22990625 23059575 23196621 23674497 23821875 24457125 25109315 25492005 25939375 27036975 27451875 27615025 27757961 28183925 28613475 28761579 29115625 29376501 29559375 29712375 30347625 31156895 32186875 32283405 33350625 34239975 34972025 35153041 35371875 35688807 36128125 36236475 36315125 36451833 37434375 37851765 38432625 38661035 39457495 40058865 40761875 41383125 42486675 43619653 45061625 45196767 45753125 46163073 46690875 47689125 47935965 48960835 49520625 49707045 50579375 50731065 52408125 53805675 54125449 55240493 55584375 56082411 57066625 57936375 59481345 60394125 60753055 62949645 63086275 64054375 65030625 65367225 66764775 67528125 68545169 68971875 69589863 70811125 71023491 73371375 75327945 76938455 77818125 79481875 79893275 81110925 82355625 82534375 82845075 83273883 84551775 85054277 87346875 88129503 89676125 91042875 93470685 96560625 99135575 100656875 102719925 104916075 105459123 106115625 107713837 108384375 108945375 109355499 111274625 113555295 115297875 115983105 118372485 122285625 125546575 127460025 129696875 130858959 133656721 135184875 137259375 138075125 138489219 138789805 140919625 143067375 143807895 146882505 148561875 151738125 155784475 160934375 161417025 162376347 165721479 166753125 169264601 171199875 174860125 175765205 178444035 181182375 181575625 182259165 189258825 192163125 193305175 197287475 200294325 203809375 205635507 206915625 212433375 218098265 225308125 225983835 230815365 233454375 238445625 239679825 244804175 247603125 248535225 249821649 252896875 253655325 255162831 262040625 269028375 270627245 276202465 280412055 285333125 289681875 297406725 301970625 303765275 305337571 314748225 315431375 316377369 320271875 323141511 325153125 326836125 333823875 342725845 347949315 354055625 355117455 366856875 376639725 378878143 384692275 386683451 389090625 392576877 397409375 399466375 400970163 405554625 411778125 414225375 416369415 422758875 425271385 440647515 448380625 455214375 467353425 479816183 482803125 487129041 495677875 497164437 503284375 507793803 513599625 524580375 527295615 538569185 544726875 546777495 556373125 567776475 576489375 579915525 591862425 595379939 611428125 616906521 627732875 637300125 654294795 668283605 675924375 690375625 692446095 693949025 704598125 715336875 719039475 734412525 742809375 753996859 758690625 765488493 778922375 807085125 811881735 828607395 846323005 855999375 874300625 878826025 892220175 905911875 907878125 911295825 916012713 935597047 946294125 960815625 966525875 969424533 986437375 1001471625 1028177535 1062166875 1090491325 1126540625 1129919175 1136634429 1154076825 1160050353 1167271875 1184852207 1192228125 1198399125 1202910489 1224020875 1242676125 1249108245 1268276625 1275814155 1345141875 1353136225 1381012325 1402060275 1426665625 1439448549 1448409375 1470223931 1487033625 1509853125 1518826375 1523381409 1526687855 1573741125 1577156875 1581886845 1615707555 1634180625 1669119375 1713629225 1739746575 1770278125 1775587275 1786139817 1834284375 1883198625 1894390715 1923461375 1933417255 1962884385 1997331875 2004850815 2027773125 2071126875 2081847075 2113794375 2126356925 2203237575 2241903125 2261990577 2276071875 2336767125 2399080915 2435645205 2478389375 2485822185 2538969015 2567998125 2622901875 2636478075 2652147001 2692845925 2723634375 2733887475 2748038139 2781865625 2806791141 2838882375 2882446875 2899577625 2959312125 2976899695 3084532605 3138664375 3186500625 3271473975 3341418025 3358713281 3379621875 3409903287 3451878125 3462230475 3469745125 3480151059 3522990625 3554556621 3576684375 3595197375 3672062625 3769984295 3827442465 3894611875 4035425625 4059408675 4143036975 4167659573 4231615025 4279996875 4318345647 4371503125 4394130125 4410671793 4461100875 4529559375 4556479125 4580063565 4677985235 4731470625 4832629375 4847122665 4932186875 5007358125 5140887675 5277978013 5310834375 5358419451 5452456625 5649595875 5683172145 5770384125 5800251765 5924261035 5991995625 6014552445 6120104375 6213380625 6245541225 6341383125 6379070775 6549179329 6725709375 6765681125 6785971731 6905061625 7010301375 7197242745 7351119655 7435168125 7594131875 7616907045 7633439275 7868705625 7885784375 7909434225 7956441003 8078537775 8170903125 8293965449 8345596875 8420373423 8568146125 8698732875 8877936375 8930699085 9415993125 9471953575 9617306875 9667086275 9814421925 9986659375 10024254075 10076139843 10138865625 10291567517 10355634375 10409235375 10568971875 10631784625 10663669863 11016187875 11309952885 11683835625 11995404575 12178226025 12391946875 12429110925 12502978719 12694845075 12839990625 13114509375 13182390375 13232015379 13260735005 13464229625 13669437375 13740190695 14033955705 14194411875 14497888125 14796560625 14884498475 15422663025 15693321875 15833934039 15932503125 16172463241 16357369875 16707090125 16793566405 17049516435 17311152375 17348725625 17400755295 17772783105 17975986875 18360313125 18849921475 19137212325 19473059375 19647537987 20177128125 20297043375 20715184875 20838297865 21158075125 21591728235 21970650625 22053358965 22305504375 22782395625 22900317825 23389926175 23657353125 23869323009 24163146875 24235613325 24660934375 24881896347 25036790625 25704438375 26389890065 26792097255 27262283125 28247979375 28415860725 28851920625 29001258825 29173617011 29621305175 29959978125 30072762225 30228419529 30600521875 30874702551 31066903125 31227706125 31706915625 31895353875 32745896645 33828405625 33929858655 34525308125 35051506875 35986213725 36755598275 36945846091 37175840625 37508936157 37970659375 38084535225 38167196375 39343528125 39547171125 39782205015 40392688875 41469827245 42101867115 42840730625 43493664375 44389681875 44653495425 45844255303 47079965625 47359767875 47501802117 48086534375 48335431375 48517389723 49072109625 50121270375 50380699215 51457837585 52046176875 53158923125 53318349315 55080939375 56549764425 58057758143 58419178125 58942613961 59977022875 60891130125 62145554625 62514893595 63474225375 65911951875 66160076895 66303675025 67321148125 68347186875 68700953475 70169778525 70972059375 72040972619 72489440625 73982803125 74422492375 74645689041 77113315125 79169670195 80862316205 81786849375 83535450625 83967832025 85247582175 86555761875 86743628125 87003776475 87520851033 88863915525 89879934375 91801565625 92624107653 94249607375 95686061625 98237689935 101485216875 103575924375 104191489325 105790375625 107958641175 109853253125 110266794825 110837538273 111527521875 113207242687 113911978125 114501589125 116949630875 119346615045 121178066625 124409481735 128522191875 131949450325 133960486275 136311415625 137532765909 141239896875 142079303625 144259603125 145006294125 145552169169 145868085055 148106525875 150363811125 151142097645 154373512755 156138530625 159476769375 163729483225 169142028125 169649293275 172626540625 174173274429 175257534375 177897095651 179931068625 183777991375 184729230455 187544680785 190422676125 190835981875 197735855625 198911025075 201963444375 207349136225 210509335575 214203653125 216122917857 217468321875 221948409375 223267477125 229221276515 236798839375 237509010585 241677156875 242586948615 245360548125 250606351875 251903496075 257289187925 260230884375 262562553099 265794615625 266591746575 275404696875 282748822125 290288790715 294713069805 299885114375 304455650625 310727773125 312574467975 317371126875 320909787121 329559759375 330800384475 331518375125 332512614819 336605740625 339621728061 341735934375 343504767375 350848892625 360204863095 372112461875 373228445205 385566575625 395848350975 404311581025 406404307001 408934246875 412598297727 417677253125 419839160125 426237910875 432778809375 435018882375 437604255165 444319577625 463120538265 471248036875 478430308125 491188449675 504286808333 507426084375 517879621875 520957446625 522519823287 528951878125 533691286953 539793205875 551333974125 554187691365 566036213435 572507945625 584748154375 596733075225 605890333125 622047408675 642610959375 648368753571 659747251625 669802431375 687663829545 710396518125 725031470625 727760845845 729340425275 740532629375 751819055625 755710488225 771867563775 780692653125 792450698809 797383846875 818647416125 848246466375 870866372145 889485478255 899655343125 918889956875 923646152275 937723403925 952113380625 954179909375 962729361363 988679278125 994555125375 1009817221875 1018865184183 1036745681125 1052546677875 1080614589285 1116337385625 1146106382575 1183994196875 1187545052925 1208385784375 1212934743075 1219212921003 1226802740625 1245279669557 1253031759375 1259517480375 1286445939625 1312812765495 1332958732875 1413744110625 1451443953575 1473565349025 1499425571875 1512860424999 1522278253125 1553638865625 1562872339875 1586855634375 1601073860859 1604548935605 1654001922375 1657591875625 1662563074095 1698108640305 1717523836875 1754244463125 1801024315475 1860562309375 1866142226025 1927832878125 1979241754875 2021557905125 2032021535005 2062991488635 2099195800625 2131189554375 2175094411875 2188021275825 2221597888125 2315602691325 2356240184375 2377352096427 2392151540625 2455942248375 2521434041665 2604787233125 2612599116435 2668456434765 2698966029375 2756669870625 2770938456825 2830181067175 2862539728125 2888188084089 2923740771875 2983665376125 3029451665625 3110237043375 3241843767855 3298736258125 3349012156875 3438319147725 3530007658331 3551982590625 3625157353125 3638804229225 3646702126375 3657638763009 3702663146875 3735839008671 3759095278125 3778552441125 3859337818875 3962253494045 4093237080625 4241232331875 4354331860725 4447427391275 4498276715625 4538581274997 4594449784375 4618230761375 4688617019625 4760566903125 4813646806815 4972775626875 5094325920915 5183728405625 5262733389375 5403072946425 5547154891663 5581686928125 5730531912875 5937725264625 6064673715375 6096064605015 6226398347785 6297587401875 6432229698125 6564063827475 6664793664375 7068720553125 7132056289281 7257219767875 7367826745125 7564302124995 7814361699375 8005369304295 8022744678025 8270009611875 8287959378125 8312815370475 8490543201525 8587619184375 8716957686899 8771222315625 9005121577375 9330711130125 9896208774375 10107789525625 10160107675025 10314957443175 10495979003125 10590022974993 10655947771875 10875472059375 10940106379125 11107989440625 11207517026013 11578013456625 11886760482135 12279711241875 12607170208325 13023936165625 13062995582175 13342282173825 13494830146875 13783349353125 13854692284125 14150905335875 14440940420445 14918326880625 15551185216875 16209218839275 16493681290625 16641464674989 16745060784375 17191595738625 17650038291655 18194021146125 18233510631875 18288193815045 18679195043355 18892762205625 19296689094375 19811267470225 20466185403125 21206161659375 21771659303625 22237136956375 22692906374985 23091153806875 23443085098125 24068234034075 24863878134375 25471629604575 25918642028125 26150873060697 26313666946875 27015364732125 27735774458315 28652659564375 29688626323125 30323368576875 30480323025075 31131991738925 31487937009375 31770068924979 32161148490625 32820319137375 33323968321875 35660281446405 36286098839375 36839133725625 37821510624975 38830084241641 39071808496875 40026846521475 40113723390125 41350048059375 41564076852375 42452716007625 43584788434495 45025607886875 46653555650625 49481043871875 49924394024967 50538947628125 50800538375125 51574787215875 52950114874965 54700531895625 56037585130065 57890067283125 59433802410675 61018703808293 61398556209375 63035851041625 65314977910875 66711410869125 69273461420625 70754526679375 72204702102225 74591634403125 77755926084375 78452619182091 81046094196375 83207323374945 85957978693125 88250191458275 90970105730625 91167553159375 91440969075225 93395975216775 94463811028125 96483445471875 99056337351125 108858296518125 111185684781875 113464531874925 115455769034375 116490252724923 117215425490625 120341170170375 127358148022875 130754365303485 135076823660625 138678872291575 143263297821875 148443131615625 151616842884375 152401615125375 155659958694625 158850344624895 164101595686875 178301407232025 181430494196875 183056111424879 184195668628125 189107553124875 194150421208205 200134232607375 200568616950625 207820384261875 212263580038125 217923942172475 225128039434375 233267778253125 249621970124835 254002691875625 257873936079375 264750574374825 273502659478125 280187925650325 289450336415625 297169012053375 305093519041465 315179255208125 326574889554375 333557054345625 346367307103125 349470758174769 353772633396875 361023510511125 392263095910455 405230470981875 416036616874725 427130926658051 429789893465625 441250957291375 454850528653125 457204845376125 466979876083875 495281686755625 544291482590625 549168334274637 555928423909375 567322659374625 582451263624615 601705850851875 636790740114375 653771826517425 675384118303125 693394361457875 762008075626875 778299793473125 794251723124475 820507978434375 891507036160125 915280557124395 945537765624375 970752106041025 1000671163036875 1002843084753125 1039101921309375 1061317900190625 1089619710862375 1248109850624175 1270013459378125 1281392779974153 1289369680396875 1323752871874125 1400939628251625 1485845060266875 1525467595207325 1575896276040625 1632874447771875 1667785271728125 1747353790873845 1805117552555625 1961315479552275 2026152354909375 2080183084373625 2135654633290255 2206254786456875 2286024226880625 2334899380419375 2476408433778125 2745841671373185 2836613296873125 2912256318123075 3008529254259375 3183953700571875 3268859132587125 3466971807289375 3810040378134375 3844178339922459 3891498967365625 3971258615622375 4457535180800625 4576402785621975 4727688828121875 4853760530205125 5003355815184375 5448098554311875 6240549253120875 6406963899870765 6618764359370625 7004698141258125 7429225301334375 7627337976036625 8736768954369225 9025587762778125 9806577397761375 10400915421868125 10678273166451275 11031273932284375 11430121134403125 11674496902096875 13729208356865925 14183066484365625 14561281590615375 16344295662935625 17334859036446875 19220891699612295 19856293078111875 22287675904003125 22882013928109875 24268802651025625 27240492771559375 31202746265604375 32034819499353825 33093821796853125 35023490706290625 38136689880183125 43683844771846125 49032886988806875 52004577109340625 53391365832256375 68646041784329625 72806407953076875 81721478314678125 96104458498061475 99281465390559375 114410069640549375 121344013255128125 156013731328021875 160174097496769125 190683449400915625 218419223859230625 245164434944034375 266956829161281875 343230208921648125 364032039765384375 480522292490307375 572050348202746875 800870487483845625 1092096119296153125 1334784145806409375 1716151044608240625 2402611462451536875 4004352437419228125 12013057312257684375
- Sum of all divisors σ(n): 27858864724057962504
- Sum of proper divisors (its aliquot sum) s(n): 15845807411800278129
- 12013057312257684375 is an abundant number, because the sum of its proper divisors (15845807411800278129) is greater than itself. Its abundance is 3832750099542593754
Bases of 12013057312257684375
- Binary: 10100110101101101111001111111010010000111000011100110011100101112
- Hexadecimal: 0xA6B6F3FA43873397
- Base-36: 2J9PDEUEXXUVR
Squares and roots of 12013057312257684375
- 12013057312257684375 squared (120130573122576843752) is 144313545987587819674630201237119140625
- 12013057312257684375 cubed (120130573122576843753) is 1733646898884027464286299124938075324862223772552490234375
-
The
square root of 12013057312257684375 is 3465985763.4239763817 -
The
cube root of 12013057312257684375 is 2290258.5669567509
Scales and comparisons
How big is 12013057312257684375?- 12,013,057,312,257,684,375 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,013,057,312,257,684,375 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 12013057312257684375 cubic inches would be around 190854.9 feet tall.
Recreational maths with 12013057312257684375
- 12013057312257684375 backwards is 57348675221375031021
- The number of decimal digits it has is: 20
- The sum of 12013057312257684375's digits is 72
- More coming soon!
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"Number 12013057312257684375 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 12013057312257684375 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/12013057312257684375/
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Numbermatics. 2024. "Number 12013057312257684375 - Facts about the integer". https://numbermatics.com/n/12013057312257684375/
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