138730990435195948800
138,730,990,435,195,948,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138730990435195948800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1620 divisors.
138730990435195948800 is an even 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 138730990435195948800:
28 × 3 × 52 × 295 × 1374
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 29 × 29 × 29 × 29 × 137 × 137 × 137 × 137)See below for interesting mathematical facts about the number 138730990435195948800 from the Numbermatics database.
Names of 138730990435195948800
- Cardinal: 138730990435195948800 can be written as One hundred thirty-eight quintillion, seven hundred thirty quadrillion, nine hundred ninety trillion, four hundred thirty-five billion, one hundred ninety-five million, nine hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.387309904351959488 × 1020
Factors of 138730990435195948800
Divisors of 138730990435195948800
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 64 75 80 87 96 100 116 120 128 137 145 150 160 174 192 200 232 240 256 274 290 300 320 348 384 400 411 435 464 480 548 580 600 640 685 696 725 768 800 822 841 870 928 960 1096 1160 1200 1280 1370 1392 1450 1600 1644 1682 1740 1856 1920 2055 2175 2192 2320 2400 2523 2740 2784 2900 3200 3288 3364 3425 3480 3712 3840 3973 4110 4205 4350 4384 4640 4800 5046 5480 5568 5800 6400 6576 6728 6850 6960 7424 7946 8220 8410 8700 8768 9280 9600 10092 10275 10960 11136 11600 11919 12615 13152 13456 13700 13920 15892 16440 16820 17400 17536 18560 18769 19200 19865 20184 20550 21025 21920 22272 23200 23838 24389 25230 26304 26912 27400 27840 31784 32880 33640 34800 35072 37120 37538 39730 40368 41100 42050 43840 46400 47676 48778 50460 52608 53824 54800 55680 56307 59595 63075 63568 65760 67280 69600 73167 75076 79460 80736 82200 84100 87680 92800 93845 95352 97556 99325 100920 105216 107648 109600 111360 112614 115217 119190 121945 126150 127136 131520 134560 139200 146334 150152 158920 161472 164400 168200 175360 185600 187690 190704 195112 198650 201840 215296 219200 225228 230434 238380 243890 252300 254272 263040 269120 278400 281535 292668 297975 300304 317840 322944 328800 336400 345651 365835 375380 381408 390224 397300 403680 438400 450456 460868 469225 476760 487780 504600 508544 526080 538240 544301 556800 563070 576085 585336 595950 600608 609725 635680 645888 657600 672800 691302 707281 731670 750760 762816 780448 794600 807360 876800 900912 921736 938450 953520 975560 1009200 1017088 1076480 1088602 1126140 1152170 1170672 1191900 1201216 1219450 1271360 1315200 1345600 1382604 1407675 1414562 1463340 1501520 1525632 1560896 1589200 1614720 1632903 1728255 1801824 1829175 1843472 1876900 1907040 1951120 2018400 2121843 2177204 2252280 2304340 2341344 2383800 2402432 2438900 2542720 2571353 2630400 2691200 2721505 2765208 2815350 2829124 2880425 2926680 3003040 3051264 3121792 3178400 3229440 3265806 3341293 3456510 3536405 3603648 3658350 3686944 3753800 3814080 3902240 4036800 4243686 4354408 4504560 4608680 4682688 4767600 4804864 4877800 5085440 5142706 5382400 5443010 5530416 5630700 5658248 5760850 5853360 6006080 6243584 6356800 6531612 6682586 6913020 7072810 7207296 7316700 7373888 7507600 7628160 7714059 7804480 8073600 8164515 8487372 8641275 8708816 9009120 9217360 9365376 9535200 9755600 10023879 10285412 10609215 10886020 11060832 11261400 11316496 11521700 11706720 12012160 12713600 12856765 13063224 13365172 13607525 13826040 14145620 14414592 14633400 14747776 15015200 15256320 15428118 15608960 15784729 16147200 16329030 16706465 16974744 17282550 17417632 17682025 18018240 18434720 18730752 19070400 19511200 20047758 20511149 20570824 21218430 21772040 22121664 22522800 22632992 23043400 23413440 24024320 25427200 25713530 26126448 26730344 27215050 27652080 28291240 29266800 29495552 30030400 30856236 31217920 31569458 32658060 33412930 33949488 34565100 34835264 35364050 36036480 36869440 38140800 38570295 39022400 40095516 40822575 41022298 41141648 42436860 43544080 44243328 45045600 45265984 46086800 46826880 47354187 50119395 51427060 52252896 53046075 53460688 54430100 55304160 56582480 58533600 60060800 61533447 61712472 63138916 64283825 65316120 66825860 67898976 69130200 69670528 70728100 72072960 73738880 74569237 76281600 77140590 78044800 78923645 80191032 81645150 82044596 82283296 83532325 84873720 87088160 88486656 90091200 90531968 92173600 93653760 94708374 96897497 100238790 102555745 102854120 104505792 106092150 106921376 108860200 110608320 113164960 117067200 120121600 123066894 123424944 126277832 128567650 130632240 133651720 135797952 138260400 139341056 141456200 147477760 149138474 154281180 156089600 157847290 160382064 163290300 164089192 164566592 167064650 169747440 174176320 180182400 181063936 184347200 189416748 192851475 193794994 200477580 205111490 205708240 209011584 212184300 213842752 217720400 221216640 223707711 226329920 234134400 236770935 246133788 246849888 250596975 252555664 257135300 261264480 267303440 271595904 276520800 282912400 290692491 298276948 307667235 308562360 315694580 320764128 326580600 328178384 329133184 334129300 339494880 348352640 352275361 360364800 368694400 372846185 378833496 385702950 387589988 394618225 400955160 410222980 411416480 418023168 424368600 427685504 435440800 442433280 447415422 452659840 457757141 468268800 473541870 484487485 492267576 493699776 501193950 505111328 512778725 514270600 522528960 534606880 543191808 553041600 565824800 581384982 596553896 615334470 617124720 631389160 641528256 653161200 656356768 658266368 668258600 678989760 696705280 704550722 737388800 745692370 757666992 771405900 775179976 789236450 801910320 820445960 822832960 848737200 855371008 870881600 894830844 905319680 915514282 947083740 968974970 984535152 987399552 1002387900 1010222656 1025557450 1028541200 1045057920 1056826083 1069213760 1106083200 1118538555 1131649600 1162769964 1183854675 1193107792 1230668940 1234249440 1262778320 1283056512 1306322400 1312713536 1336517200 1357979520 1373271423 1409101444 1453462455 1491384740 1515333984 1538336175 1542811800 1550359952 1578472900 1603820640 1640891920 1645665920 1697474400 1741763200 1761376805 1789661688 1831028564 1864230925 1894167480 1937949940 1969070304 1974799104 2004775800 2020445312 2051114900 2057082400 2090115840 2113652166 2138427520 2162507873 2212166400 2237077110 2263299200 2288785705 2325539928 2367709350 2386215584 2422437425 2461337880 2468498880 2525556640 2566113024 2612644800 2625427072 2673034400 2715959040 2746542846 2810027413 2818202888 2906924910 2982769480 3030667968 3076672350 3085623600 3100719904 3156945800 3207641280 3281783840 3291331840 3394948800 3483526400 3522753610 3579323376 3662057128 3728461850 3788334960 3875899880 3938140608 4009551600 4040890624 4102229800 4114164800 4227304332 4276855040 4325015746 4474154220 4526598400 4577571410 4651079856 4735418700 4772431168 4844874850 4922675760 4936997760 5051113280 5225289600 5250854144 5284130415 5346068800 5493085692 5592692775 5620054826 5636405776 5813849820 5965538960 6061335936 6153344700 6171247200 6201439808 6313891600 6415282560 6487523619 6563567680 6789897600 6866357115 7045507220 7158646752 7267312275 7324114256 7456923700 7576669920 7751799760 7876281216 8019103200 8204459600 8228329600 8430082239 8454608664 8650031492 8806884025 8948308440 9155142820 9302159712 9470837400 9544862336 9689749700 9845351520 9873995520 10102226560 10215985469 10450579200 10568260830 10692137600 10812539365 10986171384 11185385550 11240109652 11272811552 11443928525 11627699640 11931077920 12122671872 12306689400 12342494400 12402879616 12627783200 12830565120 12975047238 13127135360 13274957089 13579795200 13732714230 14050137065 14091014440 14317293504 14534624550 14648228512 14913847400 15153339840 15503599520 15752562432 16038206400 16408919200 16456659200 16860164478 16909217328 17300062984 17613768050 17896616880 18310285640 18604319424 18941674800 19089724672 19379499400 19690703040 20204453120 20431970938 21136521660 21384275200 21625078730 21972342768 22370771100 22480219304 22545623104 22887857050 23255399280 23862155840 24613378800 24684988800 24805759232 25255566400 25950094476 26254270720 26420652075 26549914178 27465428460 28100274130 28182028880 28634587008 29069249100 29296457024 29827694800 30306679680 30647956407 31007199040 32076412800 32437618095 32817838400 33720328956 33818434656 34331785575 34600125968 35227536100 35793233760 36620571280 37208638848 37883349600 38758998800 39381406080 39824871267 40863941876 42150411195 42273043320 43250157460 43944685536 44741542200 44960438608 45091246208 45775714100 46510798560 47724311680 49226757600 49369977600 50511132800 51079927345 51900188952 52841304150 53099828356 54062696825 54930856920 56200548260 56364057760 57269174016 58138498200 58592914048 59655389600 60613359360 61295912814 62014398080 62712728317 64152825600 64875236190 65635676800 66374785445 67440657912 67636869312 68663571150 69200251936 70250685325 70455072200 71586467520 73241142560 74417277696 75766699200 77517997600 78762812160 79649742534 81727883752 84300822390 84546086640 86500314920 87889371072 89483084400 89920877216 90182492416 91551428200 93021597120 95448623360 98453515200 101022265600 102159854690 103800377904 105682608300 106199656712 108125393650 109861713840 112401096520 112728115520 116276996400 117185828096 119310779200 122591825628 124028796160 125425456634 129750472380 131271353600 132749570890 134881315824 135273738624 137327142300 138400503872 140501370650 140910144400 143172935040 146482285120 151533398400 153239782035 155035995200 159299485068 162188090475 163455767504 168601644780 169092173280 173000629840 175778742144 178966168800 179841754432 183102856400 186043194240 188138184951 196907030400 199124356335 204319709380 207600755808 210752055975 211365216600 212399313424 216250787300 219723427680 224802193040 225456231040 232553992800 238621558400 245183651256 250850913268 255399636725 259500944760 265499141780 269762631648 270547477248 274654284600 276801007744 281002741300 281820288800 286345870080 292964570240 296263578601 303066796800 306479564070 310071990400 313563641585 318598970136 324376180950 326911535008 331873927225 337203289560 338184346560 346001259680 351557484288 357932337600 359683508864 366205712800 372086388480 376276369902 384973755581 393814060800 398248712670 408639418760 415201511616 421504111950 422730433200 424798626848 432501574600 439446855360 449604386080 450912462080 465107985600 477243116800 490367302512 501701826536 510799273450 519001889520 530998283560 539525263296 549308569200 553602015488 562005482600 563640577600 585929140480 592527157202 612959128140 620143980800 627127283170 637197940272 648752361900 653823070016 663747854450 674406579120 676368693120 692002519360 715864675200 719367017728 732411425600 752552739804 766198910175 769947511162 796497425340 817278837520 830403023232 843008223900 845460866400 849597253696 865003149200 878893710720 888790735803 899208772160 930215971200 940690924755 980734605024 995621781675 1003403653072 1021598546900 1038003779040 1061996567120 1079050526592 1098617138400 1124010965200 1127281155200 1154921266743 1185054314404 1225918256280 1254254566340 1274395880544 1297504723800 1307646140032 1327495708900 1348813158240 1352737386240 1384005038720 1431729350400 1464822851200 1481317893005 1505105479608 1532397820350 1539895022324 1567818207925 1592994850680 1634557675040 1660806046464 1686016447800 1690921732800 1699194507392 1730006298400 1757787421440 1777581471606 1798417544320 1818669121193 1860431942400 1881381849510 1924868777905 1961469210048 1991243563350 2006807306144 2043197093800 2076007558080 2123993134240 2158101053184 2197234276800 2248021930400 2254562310400 2309842533486 2370108628808 2451836512560 2508509132680 2548791761088 2595009447600 2615292280064 2654991417800 2697626316480 2768010077440 2929645702400 2962635786010 3010210959216 3064795640700 3079790044648 3135636415850 3185989701360 3269115350080 3372032895600 3381843465600 3398389014784 3460012596800 3555162943212 3596835088640 3637338242386 3762763699020 3849737555810 3922938420096 3982487126700 4013614612288 4086394187600 4152015116160 4247986268480 4394468553600 4443953679015 4496043860800 4619685066972 4703454623775 4740217257616 4903673025120 5017018265360 5097583522176 5190018895200 5309982835600 5395252632960 5456007363579 5774606333715 5925271572020 6020421918432 6129591281400 6159580089296 6271272831700 6371979402720 6538230700160 6744065791200 6763686931200 6920025193600 7110325886424 7274676484772 7406589465025 7525527398040 7699475111620 7845876840192 7964974253400 8027229224576 8172788375200 8304030232320 8495972536960 8591643779429 8788937107200 8887907358030 8992087721600 9093345605965 9239370133944 9406909247550 9480434515232 9624343889525 9807346050240 10034036530720 10195167044352 10380037790400 10619965671200 10790505265920 10912014727158 11549212667430 11850543144040 12040843836864 12259182562800 12319160178592 12542545663400 12743958805440 13076461400320 13488131582400 13840050387200 14220651772848 14549352969544 14813178930050 15051054796080 15398950223240 15929948506800 16054458449152 16345576750400 16991945073920 17183287558858 17775814716060 17984175443200 18186691211930 18478740267888 18813818495100 18960869030464 19248687779050 19614692100480 20068073061440 20760075580800 21239931342400 21824029454316 22219768395075 23098425334860 23701086288080 24081687673728 24518365125600 24638320357184 25085091326800 25487917610880 25774931338287 26976263164800 27280036817895 28441303545696 28873031668575 29098705939088 29626357860100 30102109592160 30797900446480 31859897013600 32691153500800 34366575117716 35551629432120 36373382423860 36957480535776 37627636990200 37921738060928 38497375558100 39229384200960 40136146122880 41520151161600 42479862684800 42958218897145 43648058908632 44439536790150 45466728029825 46196850669720 47402172576160 48163375347456 49036730251200 49276640714368 50170182653600 50975835221760 51549862676574 52741404514597 53952526329600 54560073635790 56882607091392 57746063337150 58197411878176 59252715720200 60204219184320 61595800892960 63719794027200 65382307001600 68733150235432 71103258864240 72746764847720 73914961071552 75255273980400 75843476121856 76994751116200 80272292245760 84959725369600 85916437794290 87296117817264 88879073580300 90933456059650 92393701339440 94804345152320 98073460502400 98553281428736 100340365307200 103099725353148 105482809029194 109120147271580 113765214182784 115492126674300 116394823756352 118505431440400 120408438368640 123191601785920 127439588054400 128874656691435 136400184089475 137466300470864 142206517728480 145493529695440 147829922143104 150510547960800 153989502232400 158224213543791 171832875588580 174592235634528 177758147160600 181866912119300 184787402678880 189608690304640 196146921004800 200680730614400 206199450706296 210965618058388 214791094485725 218240294543160 227530428365568 230984253348600 232789647512704 237010862880800 240816876737280 246383203571840 249157669603441 254879176108800 257749313382870 263707022572985 272800368178950 274932600941728 284413035456960 290987059390880 295659844286208 301021095921600 307979004464800 316448427087582 343665751177160 349184471269056 355516294321200 363733824238600 369574805357760 379217380609280 401361461228800 412398901412592 421931236116776 429582188971450 436480589086320 461968506697200 465579295025408 474021725761600 492766407143680 498315339206882 515498626765740 527414045145970 545600736357900 549865201883456 568826070913920 581974118781760 602042191843200 615958008929600 632896854175164 644373283457175 687331502354320 698368942538112 711032588642400 727467648477200 739149610715520 747473008810323 791121067718955 824797802825184 843862472233552 859164377942900 872961178172640 923937013394400 948043451523200 996630678413764 1030997253531480 1054828090291940 1091201472715800 1099730403766912 1137652141827840 1163948237563520 1204084383686400 1231916017859200 1245788348017205 1265793708350328 1288746566914350 1318535112864925 1374663004708640 1396737885076224 1422065177284800 1454935296954400 1478299221431040 1494946017620646 1582242135437910 1649595605650368 1687724944467104 1718328755885800 1745922356345280 1847874026788800 1896086903046400 1993261356827528 2061994507062960 2109656180583880 2182402945431600 2199460807533824 2327896475127040 2463832035718400 2491576696034410 2531587416700656 2577493133828700 2637070225729850 2749326009417280 2844130354569600 2909870593908800 2989892035241292 3164484270875820 3299191211300736 3375449888934208 3436657511771600 3491844712690560 3695748053577600 3737365044051615 3955605338594775 3986522713655056 4123989014125920 4219312361167760 4364805890863200 4983153392068820 5063174833401312 5154986267657400 5274140451459700 5498652018834560 5688260709139200 5819741187817600 5979784070482584 6228941740086025 6328968541751640 6598382422601472 6750899777868416 6873315023543200 6983689425381120 7225572418499789 7391496107155200 7474730088103230 7911210677189550 7973045427310112 8247978028251840 8438624722335520 8729611781726400 9966306784137640 10126349666802624 10309972535314800 10548280902919400 10997304037669120 11639482375635200 11959568140965168 12457883480172050 12657937083503280 13501799555736832 13746630047086400 14451144836999578 14949460176206460 15822421354379100 15946090854620224 16495956056503680 16877249444671040 17459223563452800 18686825220258075 19932613568275280 20252699333605248 20619945070629600 21096561805838800 21676717255499367 23919136281930336 24915766960344100 25315874167006560 27493260094172800 28902289673999156 29898920352412920 31644842708758200 31892181709240448 32991912113007360 33754498889342080 34918447126905600 36127862092498945 37373650440516150 39865227136550560 40505398667210496 41239890141259200 42193123611677600 43353434510998734 47838272563860672 49831533920688200 50631748334013120 54986520188345600 57804579347998312 59797840704825840 63289685417516400 63784363418480896 67508997778684160 72255724184997890 74747300881032300 79730454273101120 82479780282518400 84386247223355200 86706869021997468 95676545127721344 99663067841376400 101263496668026240 108383586277496835 115609158695996624 119595681409651680 126579370835032800 144511448369995780 149494601762064600 159460908546202240 164959560565036800 168772494446710400 173413738043994936 180639310462494725 191353090255442688 199326135682752800 202526993336052480 216767172554993670 231218317391993248 239191362819303360 253158741670065600 289022896739991560 298989203524129200 318921817092404480 337544988893420800 346827476087989872 361278620924989450 398652271365505600 433534345109987340 462436634783986496 478382725638606720 506317483340131200 541917931387484175 578045793479983120 597978407048258400 693654952175979744 722557241849978900 797304542731011200 867068690219974680 924873269567972992 956765451277213440 1012634966680262400 1083835862774968350 1156091586959966240 1195956814096516800 1387309904351959488 1445114483699957800 1594609085462022400 1734137380439949360 1849746539135945984 2167671725549936700 2312183173919932480 2391913628193033600 2774619808703918976 2890228967399915600 3468274760879898720 4335343451099873400 4624366347839864960 4783827256386067200 5549239617407837952 5780457934799831200 6936549521759797440 8670686902199746800 9248732695679729920 11560915869599662400 13873099043519594880 17341373804399493600 23121831739199324800 27746198087039189760 34682747608798987200 46243663478398649600 69365495217597974400 138730990435195948800
- Sum of all divisors σ(n): 477679350892315932360
- Sum of proper divisors (its aliquot sum) s(n): 338948360457119983560
- 138730990435195948800 is an abundant number, because the sum of its proper divisors (338948360457119983560) is greater than itself. Its abundance is 200217370021924034760
Bases of 138730990435195948800
- Binary: 11110000101010001110111110011000101110000111111100000001111000000002
- Hexadecimal: 0x785477CC5C3F80F00
- Base-36: TA0GVRPOHHT6O
Squares and roots of 138730990435195948800
- 138730990435195948800 squared (1387309904351959488002) is 19246287707130429831422137851932221440000
- 138730990435195948800 cubed (1387309904351959488003) is 2670056555810941029221130227952611829066462622872502272000000
-
The
square root of 138730990435195948800 is 11778412050.6626846741 -
The
cube root of 138730990435195948800 is 5176757.5902494737
Scales and comparisons
How big is 138730990435195948800?- 138,730,990,435,195,948,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,730,990,435,195,948,800 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 138730990435195948800 cubic inches would be around 431396.5 feet tall.
Recreational maths with 138730990435195948800
- 138730990435195948800 backwards is 008849591534099037831
- 138730990435195948800 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138730990435195948800's digits is 96
- 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 138730990435195948800 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 138730990435195948800 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138730990435195948800/
Chicago style:
Numbermatics. 2024. "Number 138730990435195948800 - Facts about the integer". https://numbermatics.com/n/138730990435195948800/
The information we have on file for 138730990435195948800 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 138730990435195948800, math, Factors of 138730990435195948800, curriculum, school, college, exams, university, Prime factorization of 138730990435195948800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seven hundred thirty quadrillion, nine hundred ninety trillion, four hundred thirty-five billion, one hundred ninety-five million, nine hundred forty-eight thousand, eight hundred.