3138035211433660099968
3,138,035,211,433,660,099,968 is an even composite number composed of seven prime numbers multiplied together.
3138035211433660099968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 3138035211433660099968:
27 × 32 × 7 × 31 × 823 × 1873 × 8143441613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 31 × 823 × 1873 × 8143441613)See below for interesting mathematical facts about the number 3138035211433660099968 from the Numbermatics database.
Names of 3138035211433660099968
- Cardinal: 3138035211433660099968 can be written as Three sextillion, one hundred thirty-eight quintillion, thirty-five quadrillion, two hundred eleven trillion, four hundred thirty-three billion, six hundred sixty million, ninety-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.138035211433660099968 × 1021
Factors of 3138035211433660099968
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 8143444352
Divisors of 3138035211433660099968
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 64 72 84 93 96 112 124 126 128 144 168 186 192 217 224 248 252 279 288 336 372 384 434 448 496 504 558 576 651 672 744 823 868 896 992 1008 1116 1152 1302 1344 1488 1646 1736 1873 1953 1984 2016 2232 2469 2604 2688 2976 3292 3472 3746 3906 3968 4032 4464 4938 5208 5619 5761 5952 6584 6944 7407 7492 7812 8064 8928 9876 10416 11238 11522 11904 13111 13168 13888 14814 14984 15624 16857 17283 17856 19752 20832 22476 23044 25513 26222 26336 27776 29628 29968 31248 33714 34566 35712 39333 39504 41664 44952 46088 51026 51849 52444 52672 58063 59256 59936 62496 67428 69132 76539 78666 79008 83328 89904 92176 102052 103698 104888 105344 116126 117999 118512 119872 124992 134856 138264 153078 157332 158016 174189 178591 179808 184352 204104 207396 209776 229617 232252 235998 237024 239744 249984 269712 276528 306156 314664 316032 348378 357182 359616 368704 406441 408208 414792 419552 459234 464504 471996 474048 522567 535773 539424 553056 612312 629328 696756 714364 719232 737408 812882 816416 829584 839104 918468 929008 943992 948096 1045134 1071546 1078848 1106112 1219323 1224624 1258656 1393512 1428728 1541479 1607319 1625764 1632832 1659168 1678208 1836936 1858016 1887984 2090268 2143092 2157696 2212224 2438646 2449248 2517312 2787024 2857456 3082958 3214638 3251528 3265664 3318336 3657969 3673872 3716032 3775968 4180536 4286184 4624437 4877292 4898496 5034624 5574048 5714912 6165916 6429276 6503056 6636672 7315938 7347744 7432064 7551936 8361072 8572368 9248874 9754584 9796992 10790353 11148096 11429824 12331832 12858552 13006112 13873311 14631876 14695488 15103872 16722144 17144736 18497748 19509168 21580706 22296192 22859648 24663664 25717104 26012224 27746622 29263752 29390976 32371059 33444288 34289472 36995496 39018336 43161412 47785849 49327328 51434208 52024448 55493244 58527504 64742118 66888576 68578944 73990992 78036672 86322824 95571698 97113177 98654656 102868416 110986488 117055008 129484236 143357547 147981984 156073344 172645648 191143396 194226354 197309312 205736832 221972976 234110016 258968472 286715094 295963968 334500943 345291296 382286792 388452708 430072641 443945952 468220032 517936944 573430188 591927936 669001886 690582592 764573584 776905416 860145282 887891904 1003502829 1035873888 1146860376 1338003772 1381165184 1529147168 1553810832 1720290564 1775783808 2007005658 2071747776 2293720752 2676007544 3010508487 3058294336 3107621664 3440581128 4014011316 4143495552 4587441504 5352015088 6021016974 6116588672 6215243328 6881162256 8028022632 8143441613 9174883008 10704030176 12042033948 12430486656 13762324512 16056045264 16286883226 18349766016 21408060352 24084067896 24430324839 27524649024 32112090528 32573766452 42816120704 48168135792 48860649678 55049298048 57004091291 64224181056 65147532904 73290974517 96336271584 97721299356 114008182582 128448362112 130295065808 146581949034 171012273873 192672543168 195442598712 228016365164 252446690003 260590131616 293163898068 342024547746 385345086336 390885197424 456032730328 504893380006 513036821619 521180263232 586327796136 684049095492 757340070009 781770394848 912065460656 1009786760012 1026073643238 1042360526464 1172655592272 1368098190984 1514680140018 1563540789696 1767126830021 1824130921312 2019573520024 2052147286476 2272020210027 2345311184544 2736196381968 3029360280036 3127081579392 3534253660042 3648261842624 4039147040048 4104294572952 4544040420054 4690622369088 5301380490063 5472392763936 6058720560072 6702052447499 7068507320084 7296523685248 8078294080096 8208589145904 9088080840108 9381244738176 10602760980126 10944785527872 12117441120144 13404104894998 14137014640168 15252666141149 15904141470189 16156588160192 16417178291808 18176161680216 20106157342497 21205521960252 21889571055744 24234882240288 26808209789996 28274029280336 30505332282298 31808282940378 32313176320384 32834356583616 36352323360432 40212314684994 42411043920504 45757998423447 46914367132493 48469764480576 53616419579992 56548058560672 60318472027491 61010664564596 63616565880756 65668713167232 72704646720864 80424629369988 84822087841008 91515996846894 93828734264986 96939528961152 106768662988043 107232839159984 113096117121344 120636944054982 122021329129192 127233131761512 137273995270341 140743101397479 145409293441728 160849258739976 169644175682016 183031993693788 187657468529972 207763625872469 213537325976086 214465678319968 226192234242688 241273888109964 244042658258384 254466263523024 274547990540682 281486202794958 290818586883456 320305988964129 321698517479952 339288351364032 366063987387576 375314937059944 415527251744938 422229304192437 427074651952172 428931356639936 472832650375619 482547776219928 488085316516768 508932527046048 549095981081364 562972405589916 623290877617407 640611977928258 643397034959904 678576702728064 732127974775152 750629874119888 831054503489876 844458608384874 854149303904344 857862713279872 945665300751238 960917966892387 965095552439856 976170633033536 1017865054092096 1098191962162728 1125944811179832 1246581755234814 1281223955856516 1286794069919808 1418497951126857 1454345381107283 1464255949550304 1501259748239776 1662109006979752 1688917216769748 1708298607808688 1869872632852221 1891330601502476 1921835933784774 1930191104879712 1952341266067072 2035730108184192 2196383924325456 2251889622359664 2493163510469628 2562447911713032 2573588139839616 2836995902253714 2908690762214566 2928511899100608 3002519496479552 3309828552629333 3324218013959504 3377834433539496 3416597215617376 3739745265704442 3782661203004952 3843671867569548 3860382209759424 4255493853380571 4363036143321849 4392767848650912 4503779244719328 4986327020939256 5124895823426064 5673991804507428 5817381524429132 5857023798201216 6005038992959104 6619657105258666 6648436027919008 6755668867078992 6833194431234752 7479490531408884 7565322406009904 7687343735139096 7720764419518848 8510987706761142 8726072286643698 8785535697301824 9007558489438656 9929485657887999 9972654041878512 10249791646852128 11347983609014856 11634763048858264 12552944234165627 13089108429965547 13239314210517332 13296872055838016 13511337734157984 13666388862469504 14958981062817768 15130644812019808 15374687470278192 17021975413522284 17452144573287396 17571071394603648 18015116978877312 19858971315775998 19945308083757024 20499583293704256 22695967218029712 23269526097716528 25105888468331254 26178216859931094 26478628421034664 26593744111676032 27022675468315968 29788456973663997 29917962125635536 30261289624039616 30749374940556384 34043950827044568 34904289146574792 37658832702496881 39717942631551996 39890616167514048 40999166587408512 45391934436059424 46539052195433056 50211776936662508 52356433719862188 52957256842069328 54045350936631936 59576913947327994 59835924251271072 60522579248079232 61498749881112768 68087901654089136 69808578293149584 75317665404993762 79435885263103992 79781232335028096 87870609639159389 90783868872118848 93078104390866112 100423553873325016 104712867439724376 105914513684138656 112976498107490643 119153827894655988 119671848502542144 122997499762225536 136175803308178272 139617156586299168 150635330809987524 158871770526207984 175741219278318778 181567737744237696 186156208781732224 200847107746650032 209425734879448752 211829027368277312 225952996214981286 238307655789311976 239343697005084288 263611828917478167 272351606616356544 279234313172598336 301270661619975048 317743541052415968 351482438556637556 389141271259134437 401694215493300064 418851469758897504 423658054736554624 451905992429962572 476615311578623952 527223657834956334 544703213232713088 558468626345196672 602541323239950096 635487082104831936 702964877113275112 778282542518268874 790835486752434501 803388430986600128 837702939517795008 903811984859925144 953230623157247904 1054447315669912668 1167423813777403311 1205082646479900192 1270974164209663872 1405929754226550224 1556565085036537748 1581670973504869002 1606776861973200256 1675405879035590016 1807623969719850288 1906461246314495808 2108894631339825336 2334847627554806622 2410165292959800384 2723988898813941059 2811859508453100448 3113130170073075496 3163341947009738004 3502271441332209933 3615247939439700576 3812922492628991616 4217789262679650672 4669695255109613244 4820330585919600768 5447977797627882118 5623719016906200896 6226260340146150992 6326683894019476008 7004542882664419866 7230495878879401152 8171966696441823177 8435578525359301344 9339390510219226488 10895955595255764236 11247438033812401792 12452520680292301984 12653367788038952016 14009085765328839732 14460991757758802304 16343933392883646354 16871157050718602688 18678781020438452976 21791911190511528472 24515900089325469531 24905041360584603968 25306735576077904032 28018171530657679464 32687866785767292708 33742314101437205376 37357562040876905952 43583822381023056944 49031800178650939062 49810082721169207936 50613471152155808064 56036343061315358928 65375733571534585416 74715124081753811904 87167644762046113888 98063600357301878124 101226942304311616128 112072686122630717856 130751467143069170832 149430248163507623808 174335289524092227776 196127200714603756248 224145372245261435712 261502934286138341664 348670579048184455552 392254401429207512496 448290744490522871424 523005868572276683328 784508802858415024992 1046011737144553366656 1569017605716830049984 3138035211433660099968
- Sum of all divisors σ(n): 10671569159426127912960
- Sum of proper divisors (its aliquot sum) s(n): 7533533947992467812992
- 3138035211433660099968 is an abundant number, because the sum of its proper divisors (7533533947992467812992) is greater than itself. Its abundance is 4395498736558807713024
Bases of 3138035211433660099968
- Binary: 1010101000011100111111001001111011000110100110110001111110101101100000002
- Hexadecimal: 0xAA1CFC9EC69B1FAD80
- Base-36: IE9BJ82ACUB8G0
Squares and roots of 3138035211433660099968
- 3138035211433660099968 squared (31380352114336600999682) is 9847264988197495847798789028800255753601024
- 3138035211433660099968 cubed (31380352114336600999683) is 30901064269281607311612009205019383403584213898866651243827167232
-
The
square root of 3138035211433660099968 is 56018168583.3592751521 -
The
cube root of 3138035211433660099968 is 14640388.5927740741
Scales and comparisons
How big is 3138035211433660099968?- 3,138,035,211,433,660,099,968 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 3,138,035,211,433,660,099,968 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 3138035211433660099968 cubic inches would be around 1220032.4 feet tall.
Recreational maths with 3138035211433660099968
- 3138035211433660099968 backwards is 8699900663341125308313
- The number of decimal digits it has is: 22
- The sum of 3138035211433660099968's digits is 90
- More coming soon!
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The information we have on file for 3138035211433660099968 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!
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