42284768428146816
42,284,768,428,146,816 is an even composite number composed of six prime numbers multiplied together.
What does the number 42284768428146816 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
42284768428146816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42284768428146816:
27 × 33 × 11 × 132 × 312 × 26172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 13 × 31 × 31 × 2617 × 2617)See below for interesting mathematical facts about the number 42284768428146816 from the Numbermatics database.
Names of 42284768428146816
- Cardinal: 42284768428146816 can be written as Forty-two quadrillion, two hundred eighty-four trillion, seven hundred sixty-eight billion, four hundred twenty-eight million, one hundred forty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.2284768428146816 × 1016
Factors of 42284768428146816
Divisors of 42284768428146816
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 31 32 33 36 39 44 48 52 54 62 64 66 72 78 88 93 96 99 104 108 117 124 128 132 143 144 156 169 176 186 192 198 208 216 234 248 264 279 286 288 297 312 338 341 351 352 372 384 396 403 416 429 432 468 496 507 528 558 572 576 594 624 676 682 702 704 744 792 806 832 837 858 864 936 961 992 1014 1023 1056 1116 1144 1152 1188 1209 1248 1287 1352 1364 1404 1408 1488 1521 1584 1612 1664 1674 1716 1728 1859 1872 1922 1984 2028 2046 2112 2232 2288 2376 2418 2496 2574 2617 2704 2728 2808 2883 2976 3042 3069 3168 3224 3348 3432 3456 3627 3718 3744 3844 3861 3968 4056 4092 4224 4433 4464 4563 4576 4752 4836 4992 5148 5234 5239 5408 5456 5577 5616 5766 5952 6084 6138 6336 6448 6696 6864 7254 7436 7488 7688 7722 7851 8112 8184 8649 8866 8928 9126 9152 9207 9504 9672 10296 10468 10478 10571 10816 10881 10912 11154 11232 11532 11904 12168 12276 12493 12672 12896 13299 13392 13728 14508 14872 14976 15376 15444 15702 15717 16224 16368 16731 17298 17732 17856 18252 18304 18414 19008 19344 20592 20936 20956 21142 21632 21762 21824 22308 22464 23064 23553 24336 24552 24986 25792 25947 26598 26784 27456 28787 29016 29744 30752 30888 31404 31434 31713 32448 32736 33462 34021 34596 35464 35712 36504 36828 37479 38016 38688 39897 41184 41872 41912 42284 43524 43648 44616 44928 46128 47106 47151 48672 49104 49972 50193 51584 51894 53196 53568 54912 57574 57629 58032 59488 61504 61776 62808 62868 63426 64896 65472 66924 68042 69192 70659 70928 73008 73656 74958 77376 79794 81127 82368 83744 83824 84568 86361 87048 89232 92256 94212 94302 95139 97344 98208 99944 100386 102063 103788 106392 107136 112437 115148 115258 116064 118976 119691 123008 123552 125616 125736 126852 130944 133848 136084 137423 138384 141318 141453 141856 146016 147312 149916 154752 159588 162254 162409 164736 167488 167648 169136 172722 172887 174096 178464 184512 188424 188604 190278 194688 196416 199888 200772 204126 207576 212784 224874 230296 230516 232128 237952 239382 243381 247104 251232 251472 253704 259083 267696 272168 274846 276768 282636 282906 283712 285417 292032 294624 299832 306189 319176 324508 324818 334976 335296 337311 338272 345444 345774 348192 356928 369024 374231 376848 377208 380556 392832 399776 401544 408252 412269 415152 425568 442273 449748 460592 461032 464256 478764 486762 487227 494208 502464 502944 507408 518166 518661 535392 544336 549692 553536 565272 565812 567424 570834 584064 589248 599664 612378 638352 649016 649636 670592 674622 676544 690888 691548 696384 713856 730143 748462 753696 754416 761112 777249 799552 803088 816504 824538 830304 851136 884546 892397 899496 918567 921184 922064 957528 973524 974454 1004928 1005888 1014816 1036332 1037322 1054651 1070784 1088672 1099384 1107072 1122693 1130544 1131624 1141668 1178496 1199328 1224756 1236807 1276704 1298032 1299272 1326819 1349244 1353088 1381776 1383096 1392768 1460286 1461681 1496924 1507392 1508832 1522224 1554498 1555983 1599104 1606176 1633008 1649076 1660608 1702272 1769092 1784794 1786499 1798992 1837134 1842368 1844128 1915056 1947048 1948908 2011776 2029632 2072664 2074644 2109302 2141568 2177344 2190429 2198768 2245386 2261088 2263248 2283336 2398656 2449512 2473614 2514937 2553408 2596064 2598544 2653638 2677191 2698488 2763552 2766192 2920572 2923362 2993848 3014784 3017664 3044448 3108996 3111966 3163953 3212352 3266016 3298152 3321216 3368079 3538184 3569588 3572998 3597984 3674268 3684736 3688256 3710421 3830112 3894096 3897816 3980457 4059264 4145328 4149288 4218604 4354688 4380858 4385043 4397536 4490772 4522176 4526496 4566672 4797312 4865003 4899024 4947228 5029874 5106816 5192128 5197088 5307276 5354382 5359497 5396976 5527104 5532384 5841144 5846724 5987696 6035328 6088896 6217992 6223932 6327906 6424704 6532032 6596304 6736158 6848689 7076368 7139176 7145996 7195968 7348536 7376512 7420842 7544811 7660224 7788192 7795632 7960914 8031573 8290656 8298576 8437208 8761716 8770086 8795072 8981544 9044352 9052992 9133344 9491859 9730006 9798048 9894456 10059748 10104237 10384256 10394176 10614552 10708764 10718994 10793952 11054208 11064768 11601161 11682288 11693448 11941371 11975392 12177792 12435984 12447864 12655812 13064064 13192608 13472316 13697378 13710463 14152736 14278352 14291992 14391936 14595009 14697072 14841684 15089622 15320448 15576384 15591264 15921828 16063146 16078491 16581312 16597152 16874416 17523432 17540172 17590144 17963088 18105984 18266688 18983718 19460012 19596096 19788912 20119496 20208474 20546067 20788352 21229104 21417528 21437988 21587904 22129536 22634433 23202322 23364576 23386896 23882742 23950784 24094719 24871968 24895728 25311624 26385216 26944632 27394756 27420926 27664307 28305472 28475577 28556704 28583984 29190018 29394144 29683368 30179244 31152768 31182528 31843656 32126292 32156982 32694181 33162624 33194304 33748832 34803483 35046864 35080344 35926176 36533376 37967436 38920024 39192192 39577824 40238992 40416948 41092134 41131389 42458208 42835056 42875976 43175808 43785027 45268866 46404644 46729152 46773792 47765484 47901568 48189438 48235473 49743936 49791456 50623248 52770432 53889264 54789512 54841852 55328614 56610944 56951154 57113408 57167968 58380036 58788288 59366736 60358488 61638201 62365056 63687312 64252584 64313964 65388362 66388608 67497664 67903299 69606966 70093728 70160688 71852352 75335579 75934872 77840048 79155648 80477984 80833896 82184268 82262778 82992921 84916416 85670112 85751952 87570054 89032957 90537732 92809288 93458304 93547584 95530968 96378876 96470946 98082543 99487872 99582912 101246496 104410449 107778528 109579024 109683704 110657228 113902308 114226816 114335936 116760072 117576576 118733472 120716976 123276402 123394167 127374624 128505168 128627928 130776724 131355081 134995328 135806598 139213932 140187456 140321376 143704704 150671158 150815093 151869744 155680096 158311296 160955968 161667792 164368536 164525556 165985842 169832832 171340224 171503904 175140108 178065914 181075464 184914603 185618576 187095168 191061936 192757752 192941892 196165086 199165824 202492992 208820898 212309359 215557056 219158048 219367408 221314456 226006737 227804616 228671872 233520144 237466944 241433952 246552804 246788334 248978763 254749248 257010336 257255856 261553448 262710162 267098871 271613196 278427864 280374912 280642752 294247629 301342316 301630186 303739488 311360192 313231347 321911936 323335584 328737072 329051112 331971684 342680448 343007808 350280216 356131828 359635991 362150928 369829206 370182501 371237152 382123872 385515504 385883784 392330172 404985984 417641796 424618718 425024353 431114112 438316096 438734816 442628912 452013474 452445279 455609232 467040288 474933888 482867904 493105608 493576668 497957526 509498496 514020672 514511712 523106896 525420324 534197742 543226392 556855728 561285504 588495258 602684632 603260372 607478976 622720384 626462694 636928077 646671168 657474144 658102224 663943368 678020211 686015616 700560432 712263656 719271982 724301856 739658412 740365002 742474304 746936289 764247744 771031008 771767568 784660344 801296613 835283592 849237436 850048706 876632192 877469632 882742887 885257824 904026948 904890558 911218464 934080576 965735808 979362527 986211216 987153336 995915052 1028041344 1029023424 1046213792 1050840648 1068395484 1078907973 1086452784 1113711456 1157428441 1176990516 1205369264 1206520744 1214957952 1252925388 1273856154 1275073059 1293342336 1314948288 1316204448 1327886736 1356040422 1357335837 1401120864 1424527312 1438543964 1448603712 1479316824 1480730004 1484948608 1493872578 1528495488 1542062016 1543535136 1569320688 1602593226 1670567184 1698474872 1700097412 1754939264 1765485774 1770515648 1808053896 1809781116 1822436928 1868161152 1910784231 1958725054 1972422432 1974306672 1991830104 2034060633 2058046848 2092427584 2101681296 2136790968 2157815946 2172905568 2227422912 2314856882 2335402949 2353981032 2403889839 2410738528 2413041488 2505850776 2547712308 2550146118 2629896576 2632408896 2655773472 2712080844 2714671674 2760021667 2802241728 2849054624 2877087928 2897207424 2938087581 2958633648 2961460008 2987745156 3084124032 3087070272 3138641376 3205186452 3236723919 3341134368 3396949744 3400194824 3472285323 3530971548 3541031296 3616107792 3619562232 3644873856 3821568462 3825219177 3917450108 3944844864 3948613344 3983660208 4068121266 4072007511 4184855168 4203362592 4273581936 4315631892 4345811136 4454845824 4629713764 4670805898 4675267883 4707962064 4807779678 4821477056 4826082976 5011701552 5095424616 5100292236 5264817792 5311546944 5424161688 5429343348 5520043334 5604483456 5698109248 5732352693 5754175856 5876175162 5917267296 5922920016 5975490312 6174140544 6277282752 6410372904 6473447838 6581590129 6682268736 6793899488 6800389648 6944570646 7006208847 7061943096 7232215584 7239124464 7643136924 7650438354 7834900216 7889689728 7897226688 7967320416 8136242532 8144015022 8280065001 8406725184 8547163872 8631263784 8691622272 8814262743 9259427528 9341611796 9350535766 9415924128 9615559356 9642954112 9652165952 9710171757 10023403104 10190849232 10200584472 10416855969 10623093888 10848323376 10858686696 11040086668 11396218496 11464705386 11475657531 11508351712 11752350324 11834534592 11845840032 11950980624 12554565504 12731712851 12820745808 12946895676 13163180258 13364537472 13587798976 13600779296 13889141292 14012417694 14025803649 14123886192 14464431168 14478248928 15286273848 15300876708 15669800432 15794453376 15934640832 16272485064 16288030044 16560130002 16813450368 17094327744 17262527568 17628525486 18518855056 18683223592 18701071532 18831848256 19231118712 19304331904 19420343514 19744770387 20046806208 20381698464 20401168944 20833711938 21018626541 21696646752 21717373392 22080173336 22929410772 22951315062 23016703424 23504700648 23669069184 23691680064 23901961248 24840195003 25463425702 25641491616 25893791352 26326360516 26442788229 27175597952 27201558592 27778282584 28024835388 28051607298 28247772384 28928862336 28956497856 30360238337 30572547696 30601753416 31250567907 31339600864 31869281664 32544970128 32576060088 33120260004 34188655488 34525055136 35257050972 35880281671 37037710112 37366447184 37402143064 37663696512 38195138553 38462237424 38840687028 39489540774 40093612416 40763396928 40802337888 41667423876 42037253082 42077410947 43393293504 43434746784 44160346672 45858821544 45902630124 46033406848 47009401296 47383360128 47803922496 49680390006 50926851404 51282983232 51787582704 52652721032 52885576458 54403117184 55556565168 56049670776 56103214596 56495544768 57912995712 59234311161 60720476674 61145095392 61203506832 62501135814 62679201728 63055879623 65089940256 65152120176 66240520008 69050110272 70514101944 71760563342 72397491419 74075420224 74520585009 74732894368 74804286128 76390277106 76924474848 77681374056 78979081548 81526793856 81604675776 83334847752 84074506164 84154821894 85560671677 86786587008 86869493568 88320693344 91080715011 91717643088 91805260248 94018802592 95607844992 99360780012 101853702808 102565966464 103575165408 105305442064 105771152916 107640845013 111113130336 112099341552 112206429192 112991089536 114585415659 118468622322 121440953348 122290190784 122407013664 125002271628 125358403456 126111759246 126232232841 130179880512 130304240352 132481040016 138100220544 141028203888 143521126684 144794982838 148150840448 149041170018 149465788736 149608572256 152780554212 153848949696 155362748112 157958163096 163209351552 166669695504 168149012328 168309643788 171121343354 173738987136 176641386688 177702933483 182161430022 183435286176 183610520496 188037605184 198721560024 203707405616 207150330816 210610884128 211542305832 215281690026 217192474257 222226260672 224198683104 224412858384 229170831318 236937244644 242881906696 244580381568 244814027328 250004543256 252223518492 252464465682 256682015031 260359761024 260608480704 264962080032 273242145033 282056407776 287042253368 289589965676 298082340036 298931577472 299217144512 305561108424 307697899392 310725496224 315916326192 322922535039 333339391008 336298024656 336619287576 342242686708 343756246977 353282773376 355405866966 364322860044 366870572352 367221040992 376075210368 394683098381 397443120048 407414811232 414300661632 421221768256 423084611664 430563380052 434384948514 444452521344 448397366208 448825716768 458341662636 473874489288 485763813392 489628054656 500009086512 504447036984 504928931364 513364030062 521216961408 529924160064 546484290066 564112815552 574084506736 579179931352 596164680072 598434289024 611122216848 621450992448 631832652384 645845070078 651577422771 666678782016 672596049312 673238575152 684485373416 687512493954 710811733932 728645720088 733741144704 734442081984 770046045093 789366196762 794886240096 814829622464 819726435099 842443536512 846169223328 861126760104 868769897028 896794732416 897651433536 916683325272 941167388447 947748978576 968767605117 971527626784 1000018173024 1008894073968 1009857862728 1026728060124 1059848320128 1092968580132 1112288731801 1128225631104 1148169013472 1158359862704 1184049295143 1192329360144 1222244433696 1242901984896 1263665304768 1291690140156 1303154845542 1333357564032 1345192098624 1346477150304 1368970746832 1375024987908 1421623467864 1457291440176 1468884163968 1540092090186 1578732393524 1589772480192 1629659244928 1639452870198 1692338446656 1722253520208 1737539794056 1795302867072 1833366650544 1882334776894 1895497957152 1937535210234 1943055253568 1954732268313 2000036346048 2017788147936 2019715725456 2053456120248 2185937160264 2224577463602 2296338026944 2310138135279 2316719725408 2368098590286 2384658720288 2444488867392 2527330609536 2583380280312 2606309691084 2690384197248 2692954300608 2737941493664 2750049975816 2823502165341 2843246935728 2914582880352 3080184180372 3157464787048 3179544960384 3278905740396 3336866195403 3384676893312 3444507040416 3475079588112 3552147885429 3666733301088 3764669553788 3790995914304 3875070420468 3886110507136 3909464536626 4000072692096 4035576295872 4039431450912 4106912240496 4371874320528 4449154927204 4592676053888 4620276270558 4633439450816 4736197180572 4769317440576 4888977734784 5166760560624 5212619382168 5385908601216 5475882987328 5500099951632 5647004330682 5686493871456 5829165760704 6160368360744 6314929574096 6557811480792 6673732390806 6889014080832 6950159176224 7104295770858 7333466602176 7529339107576 7581991828608 7750140840936 7818929073252 8071152591744 8078862901824 8213824480992 8470506496023 8743748641056 8898309854408 9240552541116 9266878901632 9472394361144 9538634881152 10010598586209 10333521121248 10425238764336 10656443656287 10951765974656 11000199903264 11294008661364 11372987742912 11658331521408 12235176049811 12320736721488 12629859148192 13115622961584 13347464781612 13778028161664 13900318352448 14208591541716 14666933204352 15058678215152 15500281681872 15637858146504 16157725803648 16427648961984 16941012992046 17487497282112 17796619708816 18481105082232 18944788722288 20021197172418 20667042242496 20850477528672 21312887312574 22000399806528 22588017322728 22745975485824 24470352099622 24641473442976 25259718296384 25411519488069 26231245923168 26694929563224 27800636704896 28417183083432 30031795758627 30117356430304 31000563363744 31275716293008 32855297923968 33882025984092 34974994564224 35593239417632 36705528149433 36962210164464 37889577444576 40042394344836 41334084484992 41700955057344 42625774625148 44000799613056 45176034645456 48940704199244 49282946885952 50519436592768 50823038976138 52462491846336 53389859126448 56834366166864 60063591517254 60234712860608 62001126727488 62551432586016 67764051968184 71186478835264 73411056298866 73924420328928 75779154889152 80084788689672 83401910114688 85251549250296 90352069290912 97881408398488 98565893771904 101646077952276 104924983692672 106779718252896 110116584448299 113668732333728 120127183034508 120469425721216 124002253454976 125102865172032 135528103936368 142372957670528 146822112597732 147848840657856 151558309778304 160169577379344 170503098500592 180704138581824 195762816796976 203292155904552 213559436505792 220233168896598 227337464667456 240254366069016 250205730344064 271056207872736 293644225195464 295697681315712 320339154758688 330349753344897 341006197001184 361408277163648 391525633593952 406584311809104 427118873011584 440466337793196 454674929334912 480508732138032 542112415745472 587288450390928 640678309517376 660699506689794 682012394002368 783051267187904 813168623618208 880932675586392 961017464276064 1084224831490944 1174576900781856 1281356619034752 1321399013379588 1364024788004736 1566102534375808 1626337247236416 1761865351172784 1922034928552128 2349153801563712 2642798026759176 3252674494472832 3523730702345568 3844069857104256 4698307603127424 5285596053518352 7047461404691136 10571192107036704 14094922809382272 21142384214073408 42284768428146816
- Sum of all divisors σ(n): 152389549184119200
- Sum of proper divisors (its aliquot sum) s(n): 110104780755972384
- 42284768428146816 is an abundant number, because the sum of its proper divisors (110104780755972384) is greater than itself. Its abundance is 67820012327825568
Bases of 42284768428146816
- Binary: 100101100011100111000101110110011001000111000000100000002
- Hexadecimal: 0x9639C5D991C080
- Base-36: BKCP6G1R1C0
Squares and roots of 42284768428146816
- 42284768428146816 squared (422847684281468162) is 1788001641022001752307072050937856
- 42284768428146816 cubed (422847684281468163) is 75605235339761836598243042629884976269040860266496
-
The
square root of 42284768428146816 is 205632605.4597052857 -
The
cube root of 42284768428146816 is 348386.5008989951
Scales and comparisons
How big is 42284768428146816?- 42,284,768,428,146,816 seconds is equal to 1,344,524,840 years, 33 weeks, 1 day, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,284,768,428,146,816 would take you about four billion, thirty-three million, five hundred seventy-four thousand, five hundred twenty-one 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 42284768428146816 cubic inches would be around 29032.2 feet tall.
Recreational maths with 42284768428146816
- 42284768428146816 backwards is 61864182486748224
- The number of decimal digits it has is: 17
- The sum of 42284768428146816's digits is 81
- 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 42284768428146816 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 42284768428146816 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/42284768428146816/
Chicago style:
Numbermatics. 2024. "Number 42284768428146816 - Facts about the integer". https://numbermatics.com/n/42284768428146816/
The information we have on file for 42284768428146816 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 42284768428146816, math, Factors of 42284768428146816, curriculum, school, college, exams, university, Prime factorization of 42284768428146816, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, two hundred eighty-four trillion, seven hundred sixty-eight billion, four hundred twenty-eight million, one hundred forty-six thousand, eight hundred sixteen.