2138338634513552640
2,138,338,634,513,552,640 is an even composite number composed of seven prime numbers multiplied together.
2138338634513552640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 2138338634513552640:
28 × 32 × 5 × 132 × 31 × 20947 × 1691429
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 31 × 20947 × 1691429)See below for interesting mathematical facts about the number 2138338634513552640 from the Numbermatics database.
Names of 2138338634513552640
- Cardinal: 2138338634513552640 can be written as Two quintillion, one hundred thirty-eight quadrillion, three hundred thirty-eight trillion, six hundred thirty-four billion, five hundred thirteen million, five hundred fifty-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 2.13833863451355264 × 1018
Factors of 2138338634513552640
Divisors of 2138338634513552640
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 32 36 39 40 45 48 52 60 62 64 65 72 78 80 90 93 96 104 117 120 124 128 130 144 155 156 160 169 180 186 192 195 208 234 240 248 256 260 279 288 310 312 320 338 360 372 384 390 403 416 465 468 480 496 507 520 558 576 585 620 624 640 676 720 744 768 780 806 832 845 930 936 960 992 1014 1040 1116 1152 1170 1209 1240 1248 1280 1352 1395 1440 1488 1521 1560 1612 1664 1690 1860 1872 1920 1984 2015 2028 2080 2232 2304 2340 2418 2480 2496 2535 2704 2790 2880 2976 3042 3120 3224 3328 3380 3627 3720 3744 3840 3968 4030 4056 4160 4464 4680 4836 4960 4992 5070 5239 5408 5580 5760 5952 6045 6084 6240 6448 6760 7254 7440 7488 7605 7936 8060 8112 8320 8928 9360 9672 9920 9984 10140 10478 10816 11160 11520 11904 12090 12168 12480 12896 13520 14508 14880 14976 15210 15717 16120 16224 16640 17856 18135 18720 19344 19840 20280 20947 20956 21632 22320 23808 24180 24336 24960 25792 26195 27040 29016 29760 29952 30420 31434 32240 32448 35712 36270 37440 38688 39680 40560 41894 41912 43264 44640 47151 48360 48672 49920 51584 52390 54080 58032 59520 60840 62841 62868 64480 64896 71424 72540 74880 77376 78585 81120 83788 83824 89280 94302 96720 97344 103168 104735 104780 108160 116064 119040 121680 125682 125736 128960 129792 145080 149760 154752 157170 162240 167576 167648 178560 188523 188604 193440 194688 209470 209560 216320 232128 235755 243360 251364 251472 257920 272311 290160 309504 314205 314340 324480 335152 335296 357120 377046 377208 386880 389376 418940 419120 464256 471510 486720 502728 502944 515840 544622 580320 628410 628680 648960 649357 670304 670592 754092 754416 773760 816933 837880 838240 928512 942615 943020 973440 1005456 1005888 1089244 1160640 1256820 1257360 1298714 1340608 1341184 1361555 1508184 1508832 1547520 1633866 1675760 1676480 1691429 1885230 1886040 1946880 1948071 2010912 2011776 2178488 2321280 2450799 2513640 2514720 2597428 2681216 2723110 3016368 3017664 3246785 3267732 3351520 3352960 3382858 3540043 3770460 3772080 3896142 4021824 4023552 4084665 4356976 4642560 4901598 5027280 5029440 5074287 5194856 5362432 5446220 5844213 6032736 6035328 6493570 6535464 6703040 6705920 6765716 7080086 7540920 7544160 7792284 8043648 8169330 8441641 8457145 8713952 9740355 9803196 10054560 10058880 10148574 10389712 10620129 10892440 11688426 12065472 12070656 12253995 12987140 13070928 13406080 13531432 14160172 15081840 15088320 15222861 15584568 16087296 16338660 16883282 16914290 17427904 17700215 19480710 19606392 20109120 20117760 20297148 20779424 21240258 21784880 21988577 23376852 24130944 24507990 25324923 25371435 25974280 26141856 26812160 27062864 28320344 29221065 30163680 30176640 30445722 31169136 31860387 32677320 33766564 33828580 34855808 35400430 38961420 39212784 40218240 40594296 41558848 42208205 42480516 43569760 43977154 46753704 48261888 49015980 50649846 50742870 51948560 52283712 52434299 53100645 54125728 56640688 58442130 60327360 60353280 60891444 62338272 63720774 65354640 65965731 67533128 67657160 69711616 70800860 75974769 76114305 77922840 78425568 80436480 81188592 83117696 84416410 84961032 87139520 87954308 93507408 98031960 101299692 101485740 103897120 104567424 104868598 106201290 108251456 109741333 109942885 113281376 116884260 120654720 121782888 124676544 126624615 127441548 130709280 131931462 135066256 135314320 141601720 151949538 152228610 155845680 156851136 157302897 159301935 162377184 166235392 168832820 169922064 174279040 175908616 187014816 196063920 197897193 202599384 202971480 207794240 209134848 209737196 212402580 216502912 219482666 219885770 226562752 233768520 241309440 243565776 249353088 253249230 254883096 261418560 262171495 263862924 270132512 270628640 283203440 285851501 303899076 304457220 311691360 313702272 314605794 318603870 324754368 329223999 329828655 337665640 339844128 348558080 351817232 374029632 379873845 392127840 395794386 405198768 405942960 415588480 419474392 424805160 433005824 438965332 439771540 453125504 467537040 471908691 487131552 498706176 506498460 509766192 522837120 524342990 527725848 540265024 541257280 548706665 566406880 571703002 607798152 608914440 623382720 627404544 629211588 637207740 649508736 658447998 659657310 675331280 679688256 681645887 703634464 748059264 759747690 784255680 786514485 791588772 810397536 811885920 831176960 838948784 849610320 857554503 877930664 879543080 906251008 935074080 943817382 974263104 987671997 989485965 1012996920 1019532384 1045674240 1048685980 1055451696 1080530048 1082514560 1097413330 1132813760 1143406004 1215596304 1217828880 1246765440 1258423176 1274415480 1299017472 1316895996 1319314620 1350662560 1359376512 1363291774 1407268928 1429257505 1496118528 1519495380 1568511360 1573028970 1583177544 1620795072 1623771840 1646119995 1677897568 1699220640 1715109006 1755861328 1759086160 1870148160 1887634764 1948526208 1975343994 1978971930 2025993840 2039064768 2044937661 2097371960 2110903392 2161060096 2165029120 2194826660 2265627520 2286812008 2359543455 2431192608 2435657760 2493530880 2516846352 2548830960 2572663509 2633791992 2638629240 2701325120 2718753024 2726583548 2814537856 2858515010 3038990760 3137022720 3146057940 3166355088 3241590144 3247543680 3292239990 3355795136 3398441280 3408229435 3430218012 3511722656 3518172320 3740296320 3775269528 3897052416 3950687988 3957943860 4051987680 4078129536 4089875322 4194743920 4221806784 4287772515 4389653320 4531255040 4573624016 4719086910 4862385216 4871315520 4938359985 5033692704 5097661920 5145327018 5267583984 5277258480 5402650240 5453167096 5629075712 5717030020 6077981520 6134812983 6292115880 6332710176 6483180288 6495087360 6584479980 6711590272 6796882560 6816458870 6860436024 7023445312 7036344640 7480592640 7550539056 7901375976 7915887720 8103975360 8156259072 8179750644 8389487840 8443613568 8575545030 8779306640 8861396531 9147248032 9438173820 9724770432 9742631040 9876719970 10067385408 10195323840 10224688305 10290654036 10535167968 10554516960 10805300480 10906334192 11434060040 12155963040 12269625966 12584231760 12665420352 12863317545 13168959960 13423180544 13593765120 13632917740 13720872048 14046890624 14072689280 15101078112 15802751952 15831775440 16207950720 16359501288 16778975680 16887227136 17151090060 17558613280 17722793062 18294496064 18876347640 19449540864 19485262080 19753439940 20134770816 20390647680 20449376610 20581308072 21070335936 21109033920 21812668384 22868120080 24311926080 24539251932 25168463520 25330840704 25726635090 26337919920 26584189593 27265835480 27441744096 28093781248 28145378560 30202156224 30674064915 31605503904 31663550880 32415901440 32719002576 33557951360 34302180120 35117226560 35430363263 35445586124 36588992128 37752695280 39506879880 40269541632 40781295360 40898753220 41162616144 42140671872 42218067840 43625336768 44306982655 45736240160 48623852160 49078503864 50336927040 50661681408 51453270180 52675839840 53168379186 54531670960 54883488192 60404312448 61348129830 63211007808 63327101760 65438005152 67115902720 68604360240 70234453120 70860726526 70891172248 73177984256 75505390560 79013759760 79752568779 81797506440 82325232288 84281343744 84436135680 87250673536 88613965310 91472480320 97247704320 98157007728 100673854080 102906540360 105351679680 106291089789 106336758372 109063341920 109766976384 120808624896 122696259660 126422015616 126654203520 130876010304 132920947965 137208720480 140468906240 141721453052 141782344496 151010781120 158027519520 159505137558 163595012880 164650464576 174501347072 177151816315 177227930620 182944960640 196314015456 201347708160 205813080720 210703359360 212582179578 212673516744 218126683840 219533952768 245392519320 252844031232 253308407040 261752020608 265841895930 274417440960 283442906104 283564688992 302021562240 316055039040 318873269367 319010275116 327190025760 329300929152 354303632630 354455861240 365889921280 392628030912 398762843895 411626161440 421406718720 425164359156 425347033488 436253367680 460594722419 490785038640 523504041216 531455448945 531683791860 548834881920 566885812208 567129377984 604043124480 632110078080 637746538734 638020550232 654380051520 658601858304 708607265260 708911722480 785256061824 797525687790 823252322880 850328718312 850694066976 872506735360 921189444838 981570077280 1062910897890 1063367583720 1097669763840 1098341261153 1133771624416 1134258755968 1264220156160 1275493077468 1276041100464 1308760103040 1381784167257 1417214530520 1417823444960 1570512123648 1594366346835 1595051375580 1646504645760 1700657436624 1701388133952 1842378889676 1963140154560 2125821795780 2126735167440 2196682522306 2267543248832 2268517511936 2302973612095 2550986154936 2552082200928 2617520206080 2763568334514 2834429061040 2835646889920 3188732693670 3190102751160 3293009291520 3295023783459 3401314873248 3402776267904 3684757779352 3926280309120 4145352501771 4251643591560 4253470334880 4393365044612 4535086497664 4605947224190 5101972309872 5104164401856 5491706305765 5527136669028 5668858122080 5671293779840 5987731391447 6377465387340 6380205502320 6590047566918 6802629746496 6805552535808 6908920836285 7369515558704 7852560618240 8290705003542 8503287183120 8506940669760 8786730089224 9070172995328 9211894448380 9885071350377 10203944619744 10208328803712 10983412611530 11054273338056 11337716244160 11342587559680 11975462782894 12754930774680 12760411004640 13180095133836 13605259492992 13817841672570 14278436394989 14739031117408 16475118917295 16581410007084 17006574366240 17013881339520 17573460178448 17963194174341 18423788896760 19770142700754 20407889239488 20416657607424 20726762508855 21966825223060 22108546676112 22675432488320 23950925565788 25509861549360 25520822009280 26360190267672 27210518985984 27635683345140 28556872789978 29478062234816 29938656957235 32950237834590 33162820014168 34013148732480 34027762679040 35146920356896 35926388348682 36847577793520 39540285401508 40815778478976 41453525017710 42835309184967 43933650446120 44217093352224 45350864976640 47901851131576 49425356751885 51019723098720 51041644018560 52720380535344 53889582523023 55271366690280 57113745579956 58956124469632 59877313914470 65900475669180 66325640028336 68026297464960 70293840713792 71392181974945 71852776697364 73695155587040 79080570803016 81631556957952 82907050035420 85670618369934 87867300892240 88434186704448 89815970871705 95803702263152 98850713503770 102039446197440 102083288037120 105440761070688 107779165046046 110542733380560 114227491159912 117912248939264 119754627828940 128505927554901 131800951338360 132651280056672 136052594929920 140587681427584 142784363949890 143705553394728 147390311174080 158161141606032 165814100070840 171341236739868 175734601784480 176868373408896 179631941743410 185619673134857 191607404526304 197701427007540 204078892394880 210881522141376 214176545924835 215558330092092 221085466761120 228454982319824 239509255657880 257011855109802 263601902676720 265302560113344 269447912615115 281175362855168 285568727899780 287411106789456 294780622348160 316322283212064 331628200141680 342682473479736 351469203568960 353736746817792 359263883486820 371239346269714 383214809052608 395402854015080 408157784789760 421763044282752 428353091849670 431116660184184 442170933522240 456909964639648 479018511315760 514023710219604 527203805353440 530605120226688 538895825230230 556859019404571 571137455799560 574822213578912 589561244696320 632644566424128 642529637774505 663256400283360 685364946959472 702938407137920 718527766973640 742478692539428 766429618105216 790805708030160 843526088565504 856706183699340 862233320368368 884341867044480 913819929279296 928098365674285 958037022631520 1028047420439208 1054407610706880 1061210240453376 1077791650460460 1113718038809142 1142274911599120 1149644427157824 1265289132848256 1285059275549010 1326512800566720 1370729893918944 1405876814275840 1437055533947280 1484957385078856 1532859236210432 1581611416060320 1670577058213713 1713412367398680 1724466640736736 1768683734088960 1827639858558592 1856196731348570 1916074045263040 2056094840878416 2108815221413760 2155583300920920 2227436077618284 2284549823198240 2299288854315648 2530578265696512 2570118551098020 2653025601133440 2741459787837888 2784295097022855 2874111067894560 2969914770157712 3163222832120640 3341154116427426 3426824734797360 3448933281473472 3655279717117184 3712393462697140 3832148090526080 4112189681756832 4217630442827520 4311166601841840 4454872155236568 4569099646396480 4598577708631296 5140237102196040 5306051202266880 5482919575675776 5568590194045710 5748222135789120 5939829540315424 6326445664241280 6682308232854852 6853649469594720 6897866562946944 7424786925394280 7664296181052160 8224379363513664 8352885291068565 8622333203683680 8909744310473136 9138199292792960 10280474204392080 10965839151351552 11137180388091420 11496444271578240 11879659080630848 12652891328482560 13364616465709704 13707298939189440 13795733125893888 14849573850788560 16448758727027328 16705770582137130 17244666407367360 17819488620946272 18276398585585920 20560948408784160 22274360776182840 22992888543156480 23759318161261696 26729232931419408 27414597878378880 29699147701577120 32897517454054656 33411541164274260 34489332814734720 35638977241892544 41121896817568320 44548721552365680 47518636322523392 53458465862838816 54829195756757760 59398295403154240 66823082328548520 68978665629469440 71277954483785088 82243793635136640 89097443104731360 106916931725677632 118796590806308480 133646164657097040 142555908967570176 164487587270273280 178194886209462720 213833863451355264 237593181612616960 267292329314194080 356389772418925440 427667726902710528 534584658628388160 712779544837850880 1069169317256776320 2138338634513552640
- Sum of all divisors σ(n): 8270145784551006720
- Sum of proper divisors (its aliquot sum) s(n): 6131807150037454080
- 2138338634513552640 is an abundant number, because the sum of its proper divisors (6131807150037454080) is greater than itself. Its abundance is 3993468515523901440
Bases of 2138338634513552640
- Binary: 11101101011001110011110101000100111111010110010010101000000002
- Hexadecimal: 0x1DACE7A89FAC9500
- Base-36: G8UXS7CHXDS0
Squares and roots of 2138338634513552640
- 2138338634513552640 squared (21383386345135526402) is 4572492115853284857673123834050969600
- 2138338634513552640 cubed (21383386345135526403) is 9777536547337698284445272329147450022863323732639744000
-
The
square root of 2138338634513552640 is 1462305930.5472137215 -
The
cube root of 2138338634513552640 is 1288325.1775222033
Scales and comparisons
How big is 2138338634513552640?- 2,138,338,634,513,552,640 seconds is equal to 67,992,554,261 years, 44 weeks, 2 days, 6 hours, 24 minutes.
-
To count from 1 to 2,138,338,634,513,552,640 would take you about two hundred thirty-seven billion, nine hundred seventy-three million, nine hundred thirty-nine thousand, nine hundred sixteen 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 2138338634513552640 cubic inches would be around 107360.4 feet tall.
Recreational maths with 2138338634513552640
- 2138338634513552640 backwards is 0462553154368338312
- 2138338634513552640 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 2138338634513552640's digits is 72
- More coming soon!
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The information we have on file for 2138338634513552640 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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