13934346633514125
13,934,346,633,514,125 is an odd composite number composed of five prime numbers multiplied together.
13934346633514125 is an odd 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 13934346633514125:
39 × 53 × 77 × 13 × 232
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 23 × 23)See below for interesting mathematical facts about the number 13934346633514125 from the Numbermatics database.
Names of 13934346633514125
- Cardinal: 13934346633514125 can be written as Thirteen quadrillion, nine hundred thirty-four trillion, three hundred forty-six billion, six hundred thirty-three million, five hundred fourteen thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.3934346633514125 × 1016
Factors of 13934346633514125
Divisors of 13934346633514125
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 3 5 7 9 13 15 21 23 25 27 35 39 45 49 63 65 69 75 81 91 105 115 117 125 135 147 161 175 189 195 207 225 243 245 273 299 315 325 343 345 351 375 405 441 455 483 525 529 567 575 585 621 637 675 729 735 805 819 875 897 945 975 1029 1035 1053 1125 1127 1215 1225 1323 1365 1449 1495 1575 1587 1625 1701 1715 1725 1755 1863 1911 2025 2093 2187 2205 2275 2401 2415 2457 2625 2645 2691 2835 2875 2925 3087 3105 3159 3185 3375 3381 3645 3675 3703 3969 4025 4095 4347 4459 4485 4725 4761 4875 5103 5145 5175 5265 5589 5635 5733 6075 6125 6279 6561 6615 6825 6877 7203 7245 7371 7475 7875 7889 7935 8073 8505 8575 8625 8775 9261 9315 9477 9555 10125 10143 10465 10935 11025 11109 11375 11907 12005 12075 12285 13041 13225 13377 13455 14175 14283 14625 14651 15309 15435 15525 15795 15925 16767 16807 16905 17199 18225 18375 18515 18837 19683 19845 20125 20475 20631 21609 21735 22113 22295 22425 23625 23667 23805 24219 25515 25725 25875 25921 26325 27783 27945 28175 28431 28665 30375 30429 31213 31395 32805 33075 33327 34125 34385 35721 36015 36225 36855 37375 39123 39445 39675 40131 40365 42525 42849 42875 43875 43953 45927 46305 46575 47385 47775 48139 50301 50421 50715 51597 52325 54675 55125 55223 55545 56511 59535 60025 60375 61425 61893 64827 65205 66125 66339 66885 67275 70875 71001 71415 72657 73255 76545 77175 77625 77763 78975 79625 83349 83835 84035 84525 85293 85995 91125 91287 92575 93639 94185 98415 99225 99981 102375 102557 103155 107163 108045 108675 110565 111475 112125 117369 117649 118335 119025 120393 121095 127575 128547 128625 129605 131625 131859 137781 138915 139725 140875 142155 143325 144417 150903 151263 152145 154791 156065 156975 164025 165375 165669 166635 169533 171925 178605 180075 181125 181447 184275 185679 194481 195615 197225 198375 199017 200655 201825 212625 213003 214245 217971 218491 219765 229635 231525 232875 233289 236925 238875 240695 250047 251505 252105 253575 255879 257985 261625 273375 273861 276115 277725 280917 282555 297675 299943 300125 307125 307671 309465 321489 324135 326025 331695 334425 336375 336973 352107 352947 355005 357075 361179 363285 366275 382725 385641 385875 386561 388815 394875 395577 416745 419175 420175 422625 426465 429975 433251 452709 453789 456435 462875 464373 468195 470925 492075 496125 497007 499905 508599 512785 515775 535815 540225 543375 544341 552825 557037 557375 583443 586845 588245 591675 595125 597051 601965 605475 637875 639009 642735 648025 653913 655473 659295 688905 694575 698625 699867 710775 716625 717899 722085 750141 754515 756315 760725 773955 780325 784875 820125 821583 823543 828345 833175 842751 847665 859625 893025 899829 900375 907235 921375 923013 928395 964467 972405 978075 986125 995085 1003275 1009125 1010919 1056321 1058841 1065015 1071225 1083537 1089855 1092455 1098825 1148175 1156923 1157625 1159683 1166445 1184625 1186731 1203475 1250235 1257525 1260525 1267875 1270129 1279395 1289925 1299753 1361367 1369305 1380575 1388625 1393119 1404585 1412775 1488375 1491021 1499715 1525797 1529437 1538355 1547325 1607445 1620675 1630125 1633023 1658475 1671111 1672125 1684865 1750329 1760535 1764735 1775025 1785375 1791153 1805895 1816425 1831375 1913625 1917027 1928205 1932805 1944075 1961739 1966419 1977885 2083725 2095875 2099601 2100875 2132325 2149875 2153697 2166255 2250423 2263545 2268945 2282175 2321865 2340975 2354625 2358811 2460375 2464749 2470629 2485035 2499525 2528253 2542995 2563925 2578875 2679075 2699487 2701125 2705927 2721705 2764125 2769039 2785185 2917215 2934225 2941225 2958375 2985255 3009825 3027375 3032757 3168963 3176523 3195045 3213675 3240125 3250611 3269565 3277365 3296475 3444525 3470769 3472875 3479049 3499335 3553875 3560193 3589495 3610425 3750705 3772575 3781575 3803625 3810387 3869775 3899259 3901625 4084101 4107915 4117715 4141725 4165875 4179357 4213755 4238325 4465125 4473063 4499145 4536175 4577391 4588311 4615065 4641975 4822335 4862025 4890375 4899069 4975425 5013333 5016375 5025293 5054595 5250987 5281605 5294205 5325075 5356125 5417685 5449275 5462275 5494125 5740875 5751081 5784615 5798415 5832225 5885217 5899257 5933655 6017375 6251175 6287625 6298803 6302625 6350645 6396975 6449625 6461091 6498765 6751269 6806835 6846525 6902875 6965595 7022925 7063875 7076433 7394247 7411887 7455105 7498575 7584759 7628985 7647185 7691775 7736625 8037225 8098461 8103375 8117781 8165115 8292375 8307117 8355555 8424325 8751645 8802675 8823675 8875125 8890903 8955765 9029475 9082125 9098271 9529569 9585135 9641025 9664025 9720375 9751833 9808695 9832095 9889425 10412307 10418625 10437147 10498005 10661625 10680579 10706059 10768485 10831275 11252115 11317725 11344725 11410875 11431161 11609325 11697777 11704875 11794055 12252303 12323745 12353145 12425175 12497625 12538071 12641265 12714975 12819625 13395375 13419189 13497435 13529635 13608525 13732173 13764933 13845195 13925925 14586075 14671125 14697207 14706125 14926275 15039999 15049125 15075879 15163785 15752961 15844815 15882615 15975225 16068375 16253055 16347825 16386825 16482375 16511677 17222625 17253243 17353845 17395245 17496675 17697771 17800965 17947475 18052125 18753525 18862875 18896409 18907875 18941489 19051935 19348875 19383273 19496295 20420505 20539575 20588575 20708625 20896785 21068775 21191625 21229299 22182741 22235661 22365315 22495725 22680875 22754277 22886955 22941555 23075325 23209875 24111675 24295383 24310125 24353343 24495345 24877125 24921351 25066665 25126465 25272975 26254935 26408025 26471025 26625375 26672709 27088425 27246375 27294813 27311375 28588707 28755405 28923075 28992075 29161125 29255499 29426085 29496285 29668275 31255875 31311441 31494015 31753225 31984875 32041737 32118177 32305455 32493825 33756345 34034175 34232625 34293483 34827975 35093331 35114625 35177051 35382165 36756909 36971235 37059435 37275525 37492875 37923795 38144925 38235925 38458875 40186125 40257567 40492305 40588905 40825575 41196519 41294799 41535585 41777775 42121625 43758225 44013375 44091621 44118375 44454515 44778825 45119997 45147375 45227637 45491355 47258883 47647845 47925675 48205125 48320125 48759165 49043475 49160475 49447125 49535031 51759729 52061535 52185735 52490025 53093313 53402895 53530295 53842425 54156375 56260575 56588625 56689227 56723625 56824467 57155805 58046625 58149819 58488885 58970275 61261515 61618725 61765725 62125875 62236321 62690355 63206325 63574875 63687897 66706983 67095945 67487175 67648175 68042625 68262831 68660865 68824665 69225975 69629625 72886149 72930375 73060029 73486035 74631375 74764053 75199995 75379395 75818925 78764805 79224075 79413075 79876125 80018127 81265275 81739125 81884439 81934125 82558385 85766121 86266215 86769225 86976225 87483375 87766497 88488855 89004825 89737375 93767625 93934323 94482045 94707445 95259675 96125211 96354531 96916365 97481475 102102525 102697875 102880449 102942875 104483925 105279993 105343875 105531153 106146495 110270727 110913705 111178305 111826575 112478625 113771385 114434775 114707775 115376625 115581739 120558375 120772701 121476915 121766715 122476725 123884397 124606755 125333325 125632325 126364875 131274675 132040125 132274863 132355125 133363545 135359991 135442125 135682911 136474065 142943535 143777025 144615375 144960375 146277495 147130425 147481425 148341375 148605093 155279187 156557205 157470075 158766125 159279939 160208685 160590885 161527275 162469125 168781725 170067681 170170875 170473401 171467415 174139875 174449457 175466655 175885255 176910825 183784545 184856175 185297175 186377625 186708963 189618975 190724625 191063691 191179625 200120949 201287835 202461525 202944525 204127875 204788493 205982595 206473995 207677925 208888875 218791125 219180087 220458105 222272575 223894125 224292159 225599985 226138185 227456775 236294415 238239225 239628375 240054381 243795825 245217375 245653317 245802375 246239357 247675155 257298363 258798645 260307675 260928675 262450125 265466565 267014475 267651475 269212125 281302875 281802969 283446135 284122335 285779025 288375633 289063593 290749095 292444425 294851375 306307575 308093625 308641347 308828625 311181605 313451775 315839979 316031625 316593459 318439485 330812181 333534915 335479725 337435875 338240875 341314155 343304325 344123325 346129875 346745217 362318103 364430745 365300145 367430175 371653191 373820265 375999975 376896975 379094625 393824025 396120375 396824589 397065375 400090635 406326375 407048733 409422195 412791925 428830605 431331075 433846125 434881125 435654247 438832485 442444275 445024125 445815279 469671615 472410225 473537225 476298375 477839817 480626055 481772655 484581825 487407375 510203043 510512625 511420203 514402245 522419625 523348371 526399965 527655765 530732475 551353635 554568525 555891525 559132875 560126889 568856925 572173875 573191073 573538875 577908695 600362847 603863505 607384575 608833575 612383625 614365479 619421985 623033775 626666625 628161625 656373375 657540261 661374315 666817725 672876477 676799955 678414555 682370325 714717675 718885125 720163143 731387475 735652125 736959951 737407125 738718071 743025465 771895089 776395935 782786025 787350375 796399695 801043425 802954425 807636375 809072173 843908625 845408907 850338405 852367005 857337075 867190779 872247285 877333275 879426275 884554125 918922725 924280875 925924041 926485875 933544815 947519937 948094875 949780377 955318455 1000604745 1006439175 1012307625 1014722625 1023942465 1029912975 1032369975 1038389625 1040235651 1086954309 1095900435 1102290525 1111362875 1114959573 1121460795 1127999925 1130690925 1137283875 1181472075 1190473767 1191196125 1200271905 1218979125 1221146199 1228266585 1231196785 1238375775 1286491815 1293993225 1301538375 1304643375 1306962741 1327332825 1335072375 1337445837 1338257375 1409014845 1417230675 1420611675 1428895125 1433519451 1441878165 1445317965 1453745475 1462222125 1531537875 1534260609 1543206735 1555908025 1567258875 1570045113 1579199895 1582967295 1592197425 1654060905 1667674575 1677398625 1680380667 1706570775 1716521625 1719573219 1720616625 1733726085 1801088541 1811590515 1822153725 1826500725 1837150875 1858265955 1869101325 1879999875 1884484875 1969120125 1972620783 1984122945 2000453175 2018629431 2035243665 2047110975 2063959625 2144153025 2156655375 2160489429 2178271235 2194162425 2210879853 2212221375 2216154213 2229076395 2315685267 2348358075 2362051125 2367686125 2389199085 2403130275 2408863275 2422909125 2427216519 2536226721 2551015215 2557101015 2572011225 2601572337 2616741855 2631999825 2638278825 2653662375 2756768175 2772842625 2777772123 2779457625 2800634445 2844284625 2849341131 2865955365 2889543475 3001814235 3019317525 3036922875 3044167875 3071827395 3097109925 3115168875 3120706953 3287701305 3306871575 3334088625 3344878719 3364382385 3383999775 3392072775 3411851625 3571421301 3573588375 3600815715 3656937375 3663438597 3684799755 3693590355 3715127325 3859475445 3881979675 3913930125 3920888223 3981998475 4005217125 4012337511 4014772125 4045360865 4227044535 4251692025 4261835025 4286685375 4300558353 4335953895 4361236425 4386666375 4397131375 4594613625 4602781827 4629620205 4667724075 4710135339 4737599685 4748901885 4776592275 5003023725 5032195875 5041142001 5119712325 5149564875 5158719657 5161849875 5201178255 5403265623 5434771545 5479502175 5511452625 5574797865 5607303975 5639999625 5653454625 5663505211 5907360375 5917862349 5952368835 6001359525 6105730995 6141332925 6155983925 6191878875 6432459075 6469966125 6481468287 6534813705 6632639559 6636664125 6648462639 6687229185 7045074225 7086153375 7103058375 7167597255 7209390825 7226589825 7268727375 7281649557 7608680163 7671303045 7716033675 7779540125 7804717011 7850225565 7895999475 7914836475 7960987125 8270304525 8333316369 8338372875 8401903335 8532853875 8548023393 8597866095 8668630425 9005442705 9057952575 9110768625 9132503625 9291329775 9345506625 9362120859 9863103915 9920614725 10002265875 10034636157 10093147155 10176218325 10235554875 10720765125 10802447145 10891356175 10970812125 10990315791 11054399265 11080771065 11145381975 11578426335 11741790375 11762664669 11945995425 12015651375 12037012533 12044316375 12136082595 12681133605 12755076075 12785505075 12860056125 13007861685 13083709275 13159999125 13191394125 13783840875 13808345481 13888860615 14003172225 14130406017 14246705655 14329776825 14447717375 15009071175 15096587625 15123426003 15359136975 15476158971 15485549625 15603534765 16209796869 16438506525 16534357875 16724393595 16821911925 16919998875 16960363875 16990515633 17753587047 17857106505 18004078575 18317192985 18423998775 18467951775 18575636625 19297377225 19409898375 19444404861 19604441115 19909992375 19945387917 20061687555 20226804325 21135222675 21258460125 21309175125 21502791765 21679769475 21806182125 21844948671 23013909135 23148101025 23338620375 23414151033 23550676695 23687998425 23744509425 23882961375 24999949107 25015118625 25205710005 25598561625 25644070179 25793598285 26005891275 27016328115 27173857725 27397510875 27873989325 28036519875 28086362577 28317526055 29589311745 29761844175 30006797625 30103908471 30528654975 30706664625 30779919625 32162295375 32407341435 32674068525 32970947373 33163197795 33242313195 33436145925 35225371125 35287994007 35837986275 36046954125 36111037599 36132949125 36408247785 38043400815 38356515225 38580168375 39023585055 39251127825 39479997375 39574182375 41351522625 41425036443 41666581845 42009516675 42740116965 42989330475 43343152125 45027213525 45289762875 45370278009 46428476913 46456648875 46810604295 49315519575 49603073625 50173180785 50465735775 50881091625 50971546899 53260761141 54012235725 54456780875 54951578955 55271996325 55403855325 55726909875 57892131675 58333214583 58813323345 59729977125 59836163751 60185062665 60680412975 63405668025 63775380375 63927525375 65039308425 65418546375 65534846013 69041727405 69444303075 70015861125 70242453099 70652030085 71233528275 71648884125 75045355875 75617130015 76795684875 76932210537 77380794855 78017673825 81048984345 82192532625 83621967975 84109559625 84259087731 84952578165 88767935235 89285532525 90020392875 91585964925 92119993875 92339758875 96486886125 97222024305 98022205575 98912842119 99726939585 100308437775 101134021625 105676113375 105863982021 107513958825 108333112797 108398847375 109224743355 115069545675 115740505125 117070755165 117753383475 118439992125 118722547125 124275109329 124999745535 126028550025 128220350895 128967991425 130029456375 135081640575 135869288625 136110834027 139369946625 140431812885 141587630275 147946558725 148809220875 150519542355 152643274875 152914640697 162036707175 163370342625 164854736865 165815988975 166211565975 167180729625 174999643749 176439970035 179189931375 179508491253 180555187995 182041238925 190217004075 191782576125 195117925275 196255639125 196604538039 207125182215 208332909225 210047583375 210727359297 213700584825 214946652375 225136067625 226851390045 230796631611 232142384565 234053021475 246577597875 250865903925 252328678875 252777263193 254857734495 266303805705 270061178625 274757894775 276359981625 277019276625 289460658375 291666072915 294066616725 299180818755 300925313325 303402064875 317028340125 317591946063 324999338391 325196542125 327674230065 345208637025 347221515375 351212265495 353260150425 356167641375 372825327987 378085650075 384661052685 386903974275 390088369125 405244921725 408332502081 418109839875 421295438655 424762890825 443839676175 446427662625 457929824625 458743922091 486110121525 490111027875 494564210595 498634697925 501542188875 529319910105 537569794125 538525473759 541665563985 546123716775 575347728375 585353775825 588766917375 589813614117 621375546645 624998727675 630142750125 641101754475 644839957125 675408202875 680554170135 692389894833 702159064425 707938151375 739732793625 752597711775 758331789579 764573203485 810183535875 824273684325 829079944875 831057829875 874998218745 882199850175 897542456265 902775939975 910206194625 951085020375 952775838189 975589626375 983022690195 1035625911075 1041664546125 1053636796485 1068502924125 1134256950225 1153983158055 1160711922825 1170265107375 1224997506243 1254329519625 1263886315965 1274288672475 1331519028525 1373789473875 1376231766273 1458330364575 1470333083625 1495904093775 1504626566625 1587959730315 1615576421277 1624996691955 1638371150325 1726043185125 1756061327475 1766300752125 1769440842351 1864126639935 1890428250375 1923305263425 1934519871375 2026224608625 2041662510405 2106477193275 2123814454125 2219198380875 2274995368737 2293719610455 2430550607625 2472821052975 2493173489625 2646599550525 2692627368795 2708327819925 2730618583875 2858327514567 2926768879125 2949068070585 3106877733225 3124993638375 3205508772375 3402770850675 3461949474165 3510795322125 3762988558875 3791658947895 3822866017425 4121368421625 4128695298819 4374991093725 4410999250875 4487712281325 4513879699875 4763879190945 4846729263831 4915113450975 5178129555375 5268183982425 5308322527053 5671284751125 5769915790275 5803559614125 6124987531215 6319431579825 6371443362375 6657595142625 6881158831365 7291651822875 7479520468875 7939798651575 8077882106385 8124983459775 8191855751625 8574982543701 8780306637375 8847204211755 9320633199675 9616526317125 10208312552025 10532385966375 11374976843685 11468598052275 12364105264875 12386085896457 13232997752625 13463136843975 13541639099625 14291637572835 14745340352925 15534388666125 15924967581159 17013854253375 17309747370825 18958294739475 19114330087125 20643476494095 21874955468625 22438561406625 23819395954725 24233646319155 24575567254875 26340919912125 26541612635265 28849578951375 30624937656075 31597157899125 34405794156825 37158257689371 39698993257875 40389410531925 40624917298875 42874912718505 44236021058775 46603165998375 51041562760125 56874884218425 57342990261375 61930429482285 67315684219875 71458187864175 73726701764625 79624837905795 86548736854125 94791473697375 103217382470475 111474773068113 119096979773625 121168231595775 132708063176325 153124688280375 172028970784125 185791288446855 201947052659625 214374563592525 221180105293875 284374421092125 309652147411425 357290939320875 398124189528975 516086912352375 557373865340565 605841157978875 663540315881625 928956442234275 1071872817962625 1548260737057125 1990620947644875 2786869326702825 4644782211171375 13934346633514125
- Sum of all divisors σ(n): 34259889382118400
- Sum of proper divisors (its aliquot sum) s(n): 20325542748604275
- 13934346633514125 is an abundant number, because the sum of its proper divisors (20325542748604275) is greater than itself. Its abundance is 6391196115090150
Bases of 13934346633514125
- Binary: 1100011000000100110110111001010100010010001100100011012
- Hexadecimal: 0x318136E5448C8D
- Base-36: 3T7BAGZFBT9
Squares and roots of 13934346633514125
- 13934346633514125 squared (139343466335141252) is 194166016102926428614646574515625
- 13934346633514125 cubed (139343466335141253) is 2705576572826662265042132400198287994763470703125
-
The
square root of 13934346633514125 is 118043833.5260005227 -
The
cube root of 13934346633514125 is 240636.8884479775
Scales and comparisons
How big is 13934346633514125?- 13,934,346,633,514,125 seconds is equal to 443,069,121 years, 9 weeks, 3 days, 2 hours, 48 minutes, 45 seconds.
-
To count from 1 to 13,934,346,633,514,125 would take you about one billion, three hundred twenty-nine million, two hundred seven thousand, three hundred sixty-three 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 13934346633514125 cubic inches would be around 20053.1 feet tall.
Recreational maths with 13934346633514125
- 13934346633514125 backwards is 52141533664343931
- 13934346633514125 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13934346633514125'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 13934346633514125 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 13934346633514125 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/13934346633514125/
Chicago style:
Numbermatics. 2024. "Number 13934346633514125 - Facts about the integer". https://numbermatics.com/n/13934346633514125/
The information we have on file for 13934346633514125 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 13934346633514125, math, Factors of 13934346633514125, curriculum, school, college, exams, university, Prime factorization of 13934346633514125, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred thirty-four trillion, three hundred forty-six billion, six hundred thirty-three million, five hundred fourteen thousand, one hundred twenty-five.