42132141187039511552
42,132,141,187,039,511,552 is an even composite number composed of six prime numbers multiplied together.
42132141187039511552 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred eighty-two divisors.
Prime factorization of 42132141187039511552:
210 × 72 × 17 × 232 × 312 × 98572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 17 × 23 × 23 × 31 × 31 × 9857 × 9857)See below for interesting mathematical facts about the number 42132141187039511552 from the Numbermatics database.
Names of 42132141187039511552
- Cardinal: 42132141187039511552 can be written as Forty-two quintillion, one hundred thirty-two quadrillion, one hundred forty-one trillion, one hundred eighty-seven billion, thirty-nine million, five hundred eleven thousand, five hundred fifty-two.
Scientific notation
- Scientific notation: 4.2132141187039511552 × 1019
Factors of 42132141187039511552
Divisors of 42132141187039511552
- Number of divisors d(n): 1782
-
Complete list of divisors:
1 2 4 7 8 14 16 17 23 28 31 32 34 46 49 56 62 64 68 92 98 112 119 124 128 136 161 184 196 217 224 238 248 256 272 322 368 391 392 434 448 476 496 512 527 529 544 644 713 736 782 784 833 868 896 952 961 992 1024 1054 1058 1088 1127 1288 1426 1472 1519 1564 1568 1666 1736 1792 1904 1922 1984 2108 2116 2176 2254 2576 2737 2852 2944 3038 3128 3136 3332 3472 3584 3689 3703 3808 3844 3968 4216 4232 4352 4508 4991 5152 5474 5704 5888 6076 6256 6272 6664 6727 6944 7168 7378 7406 7616 7688 7936 8432 8464 8704 8993 9016 9857 9982 10304 10948 11408 11776 12121 12152 12512 12544 13328 13454 13888 14756 14812 15232 15376 15872 16337 16399 16864 16928 17408 17986 18032 19159 19714 19964 20608 21896 22103 22816 23552 24242 24304 25024 25088 25823 25921 26656 26908 27776 29512 29624 30464 30752 31744 32674 32798 33728 33856 34937 35972 36064 38318 39428 39928 41216 43792 44206 45632 47089 48484 48608 50048 50176 51646 51842 53312 53816 55552 59024 59248 60928 61504 62951 65348 65596 67456 67712 68999 69874 71944 72128 76636 78856 79856 82432 84847 87584 88412 91264 94178 96968 97216 100096 103292 103684 106624 107632 111104 114359 114793 118048 118496 121856 123008 125902 130696 131192 134912 135424 137998 139748 143888 144256 153272 154721 157712 159712 164864 167569 169694 175168 176824 182528 188356 193936 194432 200192 206584 207368 213248 215264 222208 226711 228718 229586 236096 236992 246016 251804 261392 262384 269824 270848 275996 278783 279496 287776 288512 305567 306544 309442 315424 319424 335138 339388 350336 353648 365056 375751 376712 387872 388864 400384 413168 414736 426496 430528 440657 453422 457436 459172 472192 473984 482993 492032 503608 508369 522784 524768 539648 541696 551992 557566 558992 575552 577024 593929 611134 613088 618884 630848 638848 670276 678776 700672 707296 730112 751502 753424 775744 777728 800513 803551 826336 829472 852992 861056 881314 906844 914872 918344 944384 947968 965986 984064 1007216 1016738 1045568 1049536 1083047 1103984 1115132 1117984 1151104 1154048 1172983 1187858 1222268 1226176 1237768 1261696 1277696 1340552 1357552 1401344 1414592 1503004 1506848 1551488 1555456 1586977 1601026 1607102 1652672 1658944 1722112 1762628 1813688 1829744 1836688 1888768 1895936 1931972 1951481 2014432 2033476 2091136 2099072 2138969 2166094 2207968 2230264 2235968 2302208 2345966 2375716 2444536 2452352 2475536 2523392 2555392 2630257 2681104 2715104 2802688 2829184 3006008 3013696 3102976 3173954 3202052 3214204 3305344 3317888 3444224 3525256 3558583 3627376 3659488 3673376 3777536 3791872 3854087 3863944 3902962 4028864 4066952 4182272 4198144 4277938 4332188 4415936 4460528 4471936 4604416 4691932 4751432 4889072 4904704 4951072 5046784 5110784 5194639 5214353 5260514 5362208 5430208 5658368 6012016 6027392 6205952 6347908 6404104 6428408 6610688 6635776 6888448 7028041 7050512 7117166 7254752 7318976 7346752 7708174 7727888 7805924 8057728 8133904 8210881 8364544 8396288 8555876 8642273 8664376 8831872 8921056 8943872 9208832 9383864 9472577 9502864 9778144 9809408 9902144 10093568 10389278 10428706 10521028 10724416 10860416 11108839 11316736 12024032 12054784 12411904 12695816 12808208 12856816 13221376 13271552 13660367 14056082 14101024 14234332 14509504 14637952 14693504 14972783 15416348 15455776 15611848 16115456 16267808 16421762 16729088 16792576 17111752 17284546 17328752 17663744 17842112 17887744 18411799 18767728 18945154 19005728 19556288 19618816 19804288 20778556 20857412 21042056 21448832 21720832 22217678 22633472 24048064 24109568 24910081 25391632 25616416 25713632 26442752 26543104 26978609 27320734 28112164 28202048 28468664 29019008 29275904 29387008 29945566 30832696 30911552 31223696 32230912 32535616 32843524 34223504 34569092 34657504 35327488 35684224 35775488 36362473 36500471 36823598 37535456 37890308 38011456 39112576 39608576 41557112 41714824 42084112 42897664 43441664 44435356 48096128 48219136 49196287 49820162 50783264 51232832 51427264 53957218 54641468 56224328 56404096 56937328 58038016 58551808 58774016 59891132 60495911 61665392 61823104 62447392 64461824 65071232 65687048 66308039 68447008 69138184 69315008 70654976 71368448 72724946 73000942 73647196 75070912 75780616 76022912 78225152 79217152 83114224 83429648 84168224 85795328 86883328 88644001 88870712 96192256 97160449 98392574 99640324 101566528 102465664 102854528 107914436 109282936 112448656 112808192 113874656 116076032 117103616 117548032 119476697 119782264 120991822 123330784 123646208 124894784 130142464 131374096 132616078 136894016 138276368 138630016 142736896 145449892 146001884 147294392 150141824 151561232 152045824 156450304 158434304 161033809 161644943 166228448 166859296 168336448 171590656 177288002 177741424 188850263 192384512 194320898 196785148 199280648 203133056 204931328 205709056 215828872 217869271 218565872 224897312 225616384 227749312 232152064 238953394 239564528 241983644 246661568 247292416 249789568 254537311 255503297 260284928 262748192 265232156 273788032 276552736 277260032 285473792 290899784 292003768 294588784 300283648 303122464 304091648 312900608 322067618 323289886 332456896 333718592 336672896 344374009 354576004 355482848 377700526 384769024 388641796 393570296 398561296 406266112 409862656 411418112 423471377 431657744 435738542 437131744 449794624 451232768 455498624 464156273 477906788 479129056 483967288 493323136 494584832 499579136 509074622 511006594 520569856 525496384 530464312 547576064 553105472 554520064 581799568 584007536 589177568 600567296 606244928 608183296 620508007 644135236 646579772 664913792 667437184 673345792 680123143 688748018 709152008 710965696 755401052 777283592 787140592 797122592 812532224 819725312 822836224 836336879 846942754 863315488 871477084 874263488 899589248 910997248 928312546 955813576 958258112 967934576 986646272 999158272 1018149244 1022013188 1050992768 1060928624 1095152128 1106210944 1109040128 1127236663 1131514601 1163599136 1168015072 1178355136 1201134592 1212489856 1241016014 1288270472 1293159544 1329827584 1334874368 1346691584 1360246286 1377496036 1418304016 1421931392 1510802104 1525084897 1554567184 1574281184 1594245184 1625064448 1651727633 1672673758 1693885508 1726630976 1742954168 1748526976 1799178496 1821994496 1856625092 1911627152 1916516224 1935869152 1973292544 1998316544 2036298488 2044026376 2101985536 2121857248 2190304256 2212421888 2234690327 2254473326 2263029202 2327198272 2336030144 2356710272 2424979712 2482032028 2576540944 2586319088 2659655168 2669748736 2693383168 2720492572 2747964031 2754992072 2836608032 2843862784 3011973919 3021604208 3050169794 3109134368 3148562368 3188490368 3303455266 3345347516 3387771016 3453261952 3485908336 3497053952 3598356992 3643988992 3703777607 3713250184 3823254304 3833032448 3871738304 3946585088 4072596976 4088052752 4203971072 4243714496 4343556049 4424843776 4469380654 4508946652 4526058404 4654396544 4672060288 4713420544 4760862001 4849959424 4964064056 5010993233 5153081888 5172638176 5319310336 5339497472 5440985144 5495928062 5509984144 5673216064 5687725568 5854358153 6023947838 6043208416 6100339588 6218268736 6297124736 6376980736 6606910532 6690695032 6775542032 6906523904 6971816672 6994107904 7196713984 7407555214 7426500368 7646508608 7666064896 7743476608 7890656641 7920602207 8145193952 8176105504 8407942144 8487428992 8687112098 8849687552 8938761308 9017893304 9052116808 9308793088 9344120576 9426841088 9521724002 9699918848 9928128112 10021986466 10306163776 10345276352 10675594279 10881970288 10991856124 11019968288 11346432128 11375451136 11562093431 11708716306 12047895676 12086416832 12200679176 12436537472 12594249472 12753961472 13213821064 13381390064 13551084064 13813047808 13943633344 13988215808 14815110428 14853000736 15293017216 15332129792 15486953216 15642832289 15781313282 15841204414 16290387904 16352211008 16974857984 17374224196 17877522616 18035786608 18104233616 18617586176 18688241152 18853682176 19043448004 19235748217 19856256224 20043972932 20612327552 20690552704 21083817433 21351188558 21763940576 21983712248 22039936576 22692864256 23124186862 23417432612 24095791352 24172833664 24401358352 24873074944 25188498944 25507922944 25926443249 26427642128 26762780128 27102168128 27626095616 27887266688 29630220856 29706001472 30586034432 30973906432 31285664578 31562626564 31682408828 32580775808 32704422016 33949715968 34748448392 35076952631 35755045232 36071573216 36208467232 37235172352 37376482304 37989735559 38086896008 38471496434 39712512448 40087945864 41224655104 41381105408 42167634866 42702377116 43527881152 43967424496 44079873152 45385728512 46248373724 46834865224 48191582704 48345667328 48802716704 49746149888 50376997888 51203556623 51397877521 51852886498 52855284256 53525560256 54204336256 55774533376 59260441712 59412002944 61172068864 61947812864 62571329156 63125253128 63364817656 65161551616 65408844032 67899431936 69275400137 69496896784 70153905262 71510090464 72143146432 72416934464 75979471118 76173792016 76942992868 79425024896 80175891728 80934654017 82449310208 82762210816 84335269732 85186884961 85404754232 87055762304 87934848992 88159746304 90771457024 92496747448 93371191489 93669730448 96383165408 96691334656 97605433408 99492299776 102407113246 102795755042 103705772996 105710568512 107051120512 108408672512 109499826023 111549066752 118520883424 118824005888 122344137728 125142658312 126250506256 126729635312 130323103232 130817688064 134650237519 138550800274 138993793568 140307810524 143020180928 144286292864 144833868928 147586722031 151958942236 152347584032 153885985736 158850049792 160351783456 161869308034 164898620416 165524421632 168670539464 170373769922 170809508464 174111524608 175869697984 176319492608 181485102743 184993494896 186742382978 187339460896 192766330816 193382669312 195210866816 204814226492 205591510084 207411545992 211421137024 214102241024 216817345024 218999652046 223098133504 237041766848 237648011776 245538668417 250285316624 252501012512 253459270624 260646206464 261635376128 265928148913 269300475038 277101600548 277987587136 280615621048 286040361856 288572585728 289667737856 295173444062 303917884472 304695168064 307771971472 317700099584 320703566912 323738616068 337341078928 340747539844 341619016928 348223049216 351739395968 352638985216 358424896361 359785142647 362970205486 369986989792 373484765956 374678921792 385532661632 390421733632 409628452984 411183020168 414823091984 422842274048 428204482048 433634690048 437999304092 474083533696 475296023552 484927800959 491077336834 500570633248 505002025024 506918541248 531856297826 538600950076 554203201096 555975174272 561231242096 572080723712 577145171456 579335475712 590346888124 596308194727 607835768944 609390336128 615543942944 635400199168 641407133824 647477232136 653598340423 674682157856 681495079688 683238033856 696446098432 703478791936 716849792722 719570285294 725940410972 739973979584 746969531912 749357843584 771065323264 780843467264 819256905968 822366040336 829646183968 845684548096 856408964096 873763917857 875998608184 948167067392 969855601918 982154673668 1001141266496 1010004050048 1013837082496 1063712595652 1077201900152 1108406402192 1111950348544 1122462484192 1144161447424 1154290342912 1158670951424 1177681802329 1180693776248 1192616389454 1215671537888 1218780672256 1231087885888 1282814267648 1294954464272 1307196680846 1349364315712 1362990159376 1366476067712 1406957583872 1433699585444 1439140570588 1451880821944 1479947959168 1493939063824 1498715687168 1542130646528 1561686934528 1587310255313 1593334203151 1638513811936 1644732080672 1659292367936 1691369096192 1747527835714 1751997216368 1861497042391 1896334134784 1939711203836 1964309347336 2002282532992 2020008100096 2027674164992 2127425191304 2147537404247 2154403800304 2216812804384 2223900697088 2244924968384 2288322894848 2355363604658 2361387552496 2385232778908 2431343075776 2437561344512 2462175771776 2508974274527 2518495998529 2565628535296 2589908928544 2614393361692 2698728631424 2725980318752 2732952135424 2813915167744 2867399170888 2878281141176 2903761643888 2959895918336 2987878127648 2997431374336 3084261293056 3174620510626 3186668406302 3277027623872 3289464161344 3318584735872 3394494606713 3495055671428 3503994432736 3722994084782 3792668269568 3879422407672 3928618694672 4004565065984 4040016200192 4055348329984 4174157363089 4254850382608 4295074808494 4308807600608 4433625608768 4447801394176 4489849936768 4575188382961 4710727209316 4722775104992 4770465557816 4862686151552 4875122689024 4924351543552 5017948549054 5036991997058 5131257070592 5179817857088 5228786723384 5397457262848 5451960637504 5465904270848 5734798341776 5756562282352 5807523287776 5919791836672 5975756255296 5994862748672 6116347424999 6349241021252 6373336812604 6554055247744 6578928322688 6637169471744 6788989213426 6990111342856 7007988865472 7445988169564 7758844815344 7857237389344 8009130131968 8080032400384 8110696659968 8243772616303 8348314726178 8509700765216 8590149616988 8617615201216 8867251217536 8979699873536 9150376765922 9421454418632 9445550209984 9540931115632 9725372303104 9848703087104 10035897098108 10073983994116 10359635714176 10457573446768 10794914525696 10903921275008 10931808541696 11111171787191 11153339422057 11469596683552 11513124564704 11615046575552 11839583673344 11951512510592 12232694849998 12698482042504 12746673625208 13108110495488 13157856645376 13274338943488 13577978426852 13980222685712 14015977730944 14891976339128 15032761829729 15517689630688 15714474778688 16018260263936 16487545232606 16696629452356 17019401530432 17180299233976 17235230402432 17734502435072 17959399747072 18300753531844 18842908837264 18891100419968 19081862231264 19450744606208 19697406174208 20071794196216 20147967988232 20719271428352 20915146893536 21589829051392 21807842550016 22222343574382 22306678844114 22939193367104 23026249129408 23230093151104 23903025021184 24465389699996 25396964085008 25493347250416 26216220990976 26315713290752 26548677886976 27086681453567 27155956853704 27960445371424 28031955461888 29783952678256 30065523659458 31035379261376 31428949557376 32975090465212 33393258904712 34038803060864 34360598467952 34470460804864 35469004870144 35918799494144 36508135872199 36601507063688 37685817674528 37782200839936 38163724462528 38901489212416 40143588392432 40295935976464 41438542856704 41830293787072 42814431974993 43615685100032 44444687148764 44613357688228 45878386734208 46052498258816 46460186302208 47806050042368 48930779399992 49393360297681 50793928170016 50986694500832 52432441981952 52631426581504 54173362907134 54311913707408 55920890742848 56063910923776 57706408314121 59567905356512 60131047318916 62070758522752 62857899114752 65950180930424 66786517809424 68077606121728 68721196935904 68940921609728 70938009740288 73016271744398 73203014127376 75371635349056 75564401679872 76327448925056 77778202510337 78073375954399 80287176784864 80591871952928 82877085713408 83660587574144 85628863949986 87231370200064 88889374297528 89226715376456 91756773468416 92104996517632 92920372604416 95612100084736 97861558799984 98786720595362 101587856340032 101973389001664 105229332808103 108346725814268 108623827414816 111841781485696 112127821847552 115412816628242 119135810713024 120262094637832 124141517045504 125715798229504 131900361860848 133573035618848 136155212243456 137442393871808 137881843219456 146032543488796 146406028254752 150743270698112 151128803359744 152654897850112 155556405020674 156146751908798 160574353569728 161183743905856 167321175148288 171257727899972 177778748595056 178453430752912 183513546936832 184209993035264 185840745208832 189606770174969 195723117599968 197573441190724 203175712680064 203946778003328 210458665616206 216693451628536 217247654829632 223683562971392 230825633256484 238271621426048 240524189275664 248283034091008 251431596459008 255556951105393 263800723721696 267146071237696 272310424486912 274884787743616 292065086977592 292812056509504 301486541396224 305309795700224 311112810041348 312293503817596 321148707139456 322367487811712 334642350296576 342515455799944 345753522083767 355557497190112 356906861505824 367027093873664 368419986070528 379213540349938 391446235199936 395146882381448 406351425360128 407893556006656 420917331232412 433386903257072 434495309659264 447367125942784 461651266512968 476543242852096 481048378551328 496566068182016 511113902210786 527601447443392 534292142475392 549769575487232 584130173955184 585624113019008 602973082792448 610619591400448 622225620082696 624587007635192 642297414278912 644734975623424 669284700593152 685030911599888 691507044167534 711114994380224 713813723011648 758427080699876 782892470399872 790293764762896 812702850720256 815787112013312 839687125060577 841834662464824 866773806514144 868990619318528 894734251885568 923302533025936 953086485704192 962096757102656 1022227804421572 1055202894886784 1068584284950784 1099539150974464 1168260347910368 1171248226038016 1205946165584896 1244451240165392 1249174015270384 1284594828557824 1289469951246848 1327247391224783 1370061823199776 1383014088335068 1422229988760448 1427627446023296 1516854161399752 1565784940799744 1580587529525792 1625405701440512 1631574224026624 1679374250121154 1683669324929648 1733547613028288 1737981238637056 1788898657737751 1846605066051872 1906172971408384 1924193514205312 2044455608843144 2110405789773568 2137168569901568 2199078301948928 2336520695820736 2342496452076032 2420274654586369 2488902480330784 2498348030540768 2569189657115648 2578939902493696 2654494782449566 2740123646399552 2766028176670136 2844459977520896 2855254892046592 3033708322799504 3131569881599488 3161175059051584 3358748500242308 3367338649859296 3467095226056576 3475962477274112 3577797315475502 3693210132103744 3848387028410624 4088911217686288 4220811579547136 4274337139803136 4673041391641472 4684992904152064 4840549309172738 4977804960661568 4996696061081536 5308989564899132 5480247292799104 5532056353340272 5688919955041792 5710509784093184 5877809875424039 6067416645599008 6263139763198976 6322350118103168 6717497000484616 6734677299718592 6934190452113152 7155594630951004 7386420264207488 7696774056821248 8177822435372576 8441623159094272 9346082783282944 9681098618345476 9955609921323136 9993392122163072 10617979129798264 10960494585598208 11064112706680544 11377839910083584 11421019568186368 11755619750848078 12134833291198016 12644700236206336 13434994000969232 13469354599437184 13868380904226304 14311189261902008 14772840528414976 15393548113642496 16355644870745152 18692165566565888 19362197236690952 19911219842646272 19986784244326144 21235958259596528 21920989171196416 22128225413361088 23511239501696156 24269666582396032 25289400472412672 26869988001938464 26938709198874368 27736761808452608 28622378523804016 29545681056829952 32711289741490304 37384331133131776 38724394473381904 39822439685292544 39973568488652288 41144669127968273 42471916519193056 43841978342392832 44256450826722176 47022479003392312 48539333164792064 50578800944825344 53739976003876928 53877418397748736 57244757047608032 59091362113659904 65422579482980608 77448788946763808 79644879370585088 79947136977304576 82289338255936546 84943833038386112 88512901653444352 94044958006784624 97078666329584128 107479952007753856 107754836795497472 114489514095216064 130845158965961216 154897577893527616 164578676511873092 169887666076772224 177025803306888704 188089916013569248 194157332659168256 214959904015507712 228979028190432128 261690317931922432 309795155787055232 329157353023746184 339775332153544448 354051606613777408 376179832027138496 429919808031015424 457958056380864256 619590311574110464 658314706047492368 679550664307088896 752359664054276992 859839616062030848 915916112761728512 1239180623148220928 1316629412094984736 1359101328614177792 1504719328108553984 1831832225523457024 2478361246296441856 2633258824189969472 3009438656217107968 5266517648379938944 6018877312434215936 10533035296759877888 21066070593519755776 42132141187039511552
- Sum of all divisors σ(n): 112065816081906097866
- Sum of proper divisors (its aliquot sum) s(n): 69933674894866586314
- 42132141187039511552 is an abundant number, because the sum of its proper divisors (69933674894866586314) is greater than itself. Its abundance is 27801533707827074762
Bases of 42132141187039511552
- Binary: 1001001000101100110110111100101111000110000001100001000100000000002
- Hexadecimal: 0x248B36F2F18184400
- Base-36: 8W3LXKR6YBQBK
Squares and roots of 42132141187039511552
- 42132141187039511552 squared (421321411870395115522) is 1775117321004631181543764545610741448704
- 42132141187039511552 cubed (421321411870395115523) is 74789493592126459261999491632327047753669501354157023428608
-
The
square root of 42132141187039511552 is 6490927606.0544313817 -
The
cube root of 42132141187039511552 is 3479668.2751531485
Scales and comparisons
How big is 42132141187039511552?- 42,132,141,187,039,511,552 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,132,141,187,039,511,552 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 42132141187039511552 cubic inches would be around 289972.4 feet tall.
Recreational maths with 42132141187039511552
- 42132141187039511552 backwards is 25511593078114123124
- The number of decimal digits it has is: 20
- The sum of 42132141187039511552's digits is 65
- 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 42132141187039511552 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 42132141187039511552 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/42132141187039511552/
Chicago style:
Numbermatics. 2024. "Number 42132141187039511552 - Facts about the integer". https://numbermatics.com/n/42132141187039511552/
The information we have on file for 42132141187039511552 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 42132141187039511552, math, Factors of 42132141187039511552, curriculum, school, college, exams, university, Prime factorization of 42132141187039511552, STEM, science, technology, engineering, physics, economics, calculator, forty-two quintillion, one hundred thirty-two quadrillion, one hundred forty-one trillion, one hundred eighty-seven billion, thirty-nine million, five hundred eleven thousand, five hundred fifty-two.