42048854540350328736
42,048,854,540,350,328,736 is an even composite number composed of eight prime numbers multiplied together.
42048854540350328736 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42048854540350328736:
25 × 32 × 132 × 47 × 61 × 757 × 3037 × 131071
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 47 × 61 × 757 × 3037 × 131071)See below for interesting mathematical facts about the number 42048854540350328736 from the Numbermatics database.
Names of 42048854540350328736
- Cardinal: 42048854540350328736 can be written as Forty-two quintillion, forty-eight quadrillion, eight hundred fifty-four trillion, five hundred forty billion, three hundred fifty million, three hundred twenty-eight thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 4.2048854540350328736 × 1019
Factors of 42048854540350328736
Divisors of 42048854540350328736
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 47 48 52 61 72 78 94 96 104 117 122 141 144 156 169 183 188 208 234 244 282 288 312 338 366 376 416 423 468 488 507 549 564 611 624 676 732 752 757 793 846 936 976 1014 1098 1128 1222 1248 1352 1464 1504 1514 1521 1586 1692 1833 1872 1952 2028 2196 2256 2271 2379 2444 2704 2867 2928 3028 3037 3042 3172 3384 3666 3744 4056 4392 4512 4542 4758 4888 5408 5499 5734 5856 6056 6074 6084 6344 6768 6813 7137 7332 7943 8112 8601 8784 9084 9111 9516 9776 9841 10309 10998 11468 12112 12148 12168 12688 13536 13626 14274 14664 15886 16224 17202 17568 18168 18222 19032 19552 19682 20618 21996 22936 23829 24224 24296 24336 25376 25803 27252 27333 28548 29328 29523 30927 31772 34404 35579 36336 36444 37271 38064 39364 39481 41236 43992 45872 46177 47658 48592 48672 51606 54504 54666 57096 58656 59046 61854 63544 68808 71158 71487 72672 72888 74542 76128 78728 78962 82472 87984 88569 91744 92354 92781 95316 97184 103212 106737 109008 109332 111813 114192 118092 118443 123708 127088 127933 131071 137616 138531 142316 142739 142974 145776 149084 157456 157924 164944 175968 177138 184708 185257 185562 190632 206424 213474 218016 218664 223626 228384 236184 236886 247416 254176 255866 262142 275232 277062 284632 285478 285948 291552 298168 314912 315848 320211 329888 335439 354276 355329 369416 370514 371124 381264 383799 393213 412848 415593 426948 428217 437328 447252 462527 472368 473772 484523 494832 511732 513253 524284 554124 555771 569264 570956 571896 596336 600301 631696 640422 670878 708552 710658 738832 741028 742248 762528 767598 786426 825696 831186 853896 856434 874656 894504 925054 944736 947544 969046 989664 1023464 1026506 1048568 1108248 1111542 1138528 1141912 1143792 1151397 1179639 1192672 1200602 1263392 1280844 1284651 1341756 1387581 1417104 1421316 1453569 1477664 1482056 1484496 1535196 1539759 1572852 1662372 1667313 1703923 1707792 1712868 1789008 1800903 1850108 1855607 1895088 1938092 2046928 2053012 2097136 2170319 2216496 2223084 2283824 2287584 2299009 2302794 2359278 2401204 2408341 2561688 2569302 2683512 2775162 2834208 2842632 2907138 2964112 2968992 3070392 3079518 3145704 3324744 3334626 3407846 3415584 3425736 3578016 3601806 3700216 3711214 3790176 3876184 4093856 4106024 4162743 4194272 4340638 4360707 4432992 4446168 4567648 4598018 4605588 4619277 4718556 4802408 4816682 5111769 5123376 5138604 5367024 5402709 5550324 5566821 5685264 5814276 5928224 6012851 6140784 6159036 6160337 6291408 6510957 6649488 6669252 6815692 6851472 6897027 7203612 7225023 7400432 7422428 7752368 7803913 7995331 8212048 8325486 8681276 8707079 8721414 8892336 9196036 9211176 9238554 9437112 9604816 9633364 10223538 10246752 10277208 10734048 10805418 11100648 11133642 11370528 11628552 12025702 12281568 12318072 12320674 12582816 13021914 13298976 13338504 13631384 13702944 13794054 14407224 14450046 14800864 14844856 15335307 15504736 15607826 15990662 16424096 16650972 16700463 17362552 17414158 17442828 17784672 18038553 18392072 18422352 18477108 18481011 18874224 19209632 19266728 19532871 20447076 20554416 20691081 21610836 21675069 22150999 22201296 22267284 23257104 23411739 23985993 24051404 24122891 24636144 24641348 26043828 26121237 26677008 27262768 27588108 28214147 28814448 28900092 29689712 29887117 30670614 31215652 31308433 31981324 33301944 33400926 34725104 34828316 34885656 36077106 36784144 36844704 36954216 36962022 37748448 38533456 39065742 40894152 41108832 41382162 43221672 43350138 44301998 44402592 44534568 46514208 46823478 47971986 48102808 48245782 49272288 49282696 52087656 52242474 53354016 54115659 54525536 55176216 55443033 56428294 57628896 57800184 59379424 59774234 61341228 62431304 62616866 63962648 66452997 66603888 66801852 69450208 69656632 69771312 70235217 71957979 72154212 72368673 73568288 73908432 73924044 77066912 78131484 78363711 80084381 81788304 82764324 84642441 86443344 86700276 88603996 89069136 89661351 93646956 93925299 95943972 96205616 96491564 98565392 99220747 103939303 104175312 104484948 108053423 108231318 110352432 110886066 112856588 113192027 115600368 119548468 122682456 124862608 125233732 127925296 132905994 133207776 133603704 139313264 139542624 140239549 140470434 143915958 144308424 144737346 147816864 147848088 156262968 156727422 160168762 163576608 165528648 169284882 172886688 173400552 177207992 178138272 179322702 187293912 187850598 191887944 192411232 192983128 197130784 198441494 199358991 207878606 208350624 208969896 216106846 216462636 217106019 220704864 221772132 225713176 226384054 231200736 239096936 240253143 245364912 249725216 250467464 253927323 255850592 265811988 267207408 268984053 278626528 280479098 280940868 281775897 287831916 288616848 289474692 295696176 297662241 311817909 312525936 313454844 320337524 324160269 331057296 338569764 339576081 346801104 354415984 358645404 366783911 374587824 375701196 375780557 383775888 385966256 388532521 396882988 398062627 398717982 415757212 417939792 420718647 432213692 432925272 434212038 443544264 451426352 452768108 478193872 480506286 490729824 500934928 507854646 531623976 534414816 537968106 560958196 561881736 563551794 575663832 577233696 578949384 591392352 595324482 623635818 625051872 626909688 640675048 648320538 662114592 677139528 679152162 693602208 708831968 717290808 720759429 733567822 749175648 751402392 751561114 767551776 771932512 777065042 793765976 796125254 797435964 831514424 835879584 841437294 864427384 865850544 868424076 887088528 892986723 902852704 905536216 935453727 956387744 961012572 972480807 1001869856 1015709292 1018728243 1041096953 1063247952 1075936212 1100351733 1121916392 1123763472 1127103588 1127341671 1151327664 1157898768 1165597563 1190648964 1194187881 1247271636 1253819376 1262155941 1281350096 1289869711 1296641076 1351210939 1354279056 1358304324 1404694499 1434581616 1441518858 1467135644 1471496351 1502804784 1503122228 1554130084 1587531952 1592250508 1594871928 1663028848 1682874588 1728854768 1731701088 1736848152 1774177056 1785973446 1811072432 1823114137 1870907454 1922025144 1944961614 2031418584 2037456486 2082193906 2126495904 2151872424 2200703466 2243832784 2247526944 2254207176 2254683342 2302655328 2315797536 2331195126 2381297928 2388375762 2494543272 2507638752 2524311882 2562700192 2579739422 2593282152 2702421878 2708558112 2716608648 2809388998 2869163232 2883037716 2934271288 2942992702 3005609568 3006244456 3108260168 3123290859 3175063904 3184501016 3189743856 3301055199 3326057696 3365749176 3382025013 3457709536 3473696304 3496792689 3571946892 3582563643 3622144864 3646228274 3741814908 3844050288 3869609133 3889923228 4053632817 4062837168 4074912972 4164387812 4214083497 4303744848 4401406932 4414489053 4487665568 4508414352 4509366684 4662390252 4663375109 4762595856 4776751524 4885147241 4989086544 5048623764 5159478844 5174814151 5186564304 5404843756 5433217296 5469342411 5618777996 5766075432 5868542576 5885985404 6012488912 6052465567 6216520336 6246581718 6369002032 6379487712 6591258803 6602110398 6731498352 6764050026 6947392608 6993585378 7143893784 7165127286 7292456548 7483629816 7688100576 7739218266 7779846456 8107265634 8125674336 8149825944 8328775624 8428166994 8607489696 8802813864 8828978106 9016828704 9018733368 9324780504 9326750218 9369872577 9525191712 9553503048 9770294482 9978173088 10097247528 10318957688 10349628302 10373128608 10809687512 10866434592 10938684822 11237555992 11532150864 11608827399 11737085152 11771970808 12024977824 12104931134 12160898451 12433040672 12493163436 12642250491 12738004064 13182517606 13204220796 13243467159 13462996704 13528100052 13987170756 13990125327 14287787568 14330254572 14584913096 14655441723 14967259632 15478436532 15524442453 15559692912 16214531268 16299651888 16408027233 16657551248 16768306243 16856333988 17605627728 17657956212 18037466736 18157396701 18261028487 18649561008 18653500436 18708943469 18739745154 19107006096 19540588964 19773776409 20194495056 20637915376 20699256604 21619375024 21877369644 22475111984 23064301728 23217654798 23543941616 23700483781 24209862268 24281820247 24321796902 24986326872 25284500982 26365035212 26408441592 26486934318 27056200104 27974341512 27980250654 28575575136 28660509144 29169826192 29310883446 29934519264 30956873064 31048884906 31119385824 32429062536 32599303776 32816054466 33315102496 33536612486 33712667976 35211255456 35315912424 36074933472 36314793402 36522056974 37299122016 37307000872 37417886938 37479490308 38214012192 39081177928 39547552818 40388990112 41275830752 41398513208 41970375981 43238750048 43754739288 43966325169 44950223968 46435309596 46573327359 47087883232 47400967562 48419724536 48563640494 48643593804 49972653744 50304918729 50569001964 52730070424 52816883184 52973868636 54112400208 54472190103 54783085461 55948683024 55960501308 56126830407 57321018288 58339652384 58621766892 59321329227 60623876417 61913746128 62097769812 63506914133 64858125072 65632108932 67073224972 67272583963 67425335952 70631824848 71101451343 72629586804 72845460741 73044113948 74614001744 74835773876 74958980616 78162355856 78682052371 79095105636 82797026416 83940751962 85686364439 87509478576 87932650338 92870619192 93146654718 94801935124 96839449072 97127280988 97287187608 99945307488 100609837458 101138003928 105460140848 105633766368 105947737272 108224800416 108944380206 109566170922 111897366048 111921002616 112253660814 114642036576 117243533784 118642658454 121247752834 123827492256 124195539624 127013828266 129716250144 131264217864 134146449944 134545167926 134850671904 141263649696 142202902686 145259173608 145690921482 146088227896 149228003488 149671547752 149917961232 150914756187 156324711712 157364104742 158190211272 164349256383 165594052832 167881503924 168380491221 171372728878 175018957152 175865300676 181871629251 185741238384 186293309436 189603870248 190520742399 193678898144 194254561976 194574375216 201219674916 201817751889 202276007856 210920281696 211895474544 213304354029 217888760412 218536382223 219132341844 223842005232 224507321628 234487067568 236046157113 237285316908 242495505668 243216265097 248391079248 254027656532 257059093317 262528435728 268292899888 269090335852 284405805372 284465881649 290518347216 291381842964 292176455792 299343095504 299835922464 301333408639 301829512374 314728209484 315663663211 316380422544 328698512766 335763007848 336760982442 342745457756 351730601352 363743258502 371482476768 372586618872 379207740496 381041484798 388509123952 389148750432 402439349832 403635503778 404552015712 423790949088 426608708058 435777520824 437072764446 438264683688 447684010464 449014643256 468974135136 472092314226 474570633816 484991011336 486432530194 496782158496 508055313064 514118186634 525056871456 536585799776 538180671704 545614887753 568811610744 568931763298 571562227197 581036694432 582763685928 584352911584 598686191008 602666817278 603659024748 605453255667 629456418968 631327326422 632760845088 657397025532 671526015696 673521964884 685490915512 703461202704 708138471339 727486517004 729648795291 745173237744 758415480992 762082969596 771177279951 777018247904 788110393421 804878699664 807271007556 853217416116 853397644947 871555041648 874145528892 876529367376 898029286512 904000225917 944184628452 946990989633 949141267632 969982022672 972865060388 1016110626128 1022866680823 1028236373268 1076361343408 1091229775506 1113922737707 1137623221488 1137863526596 1141245551609 1143124454394 1165527371856 1205333634556 1207318049496 1210906511334 1258912837936 1262654652844 1314794051064 1343052031392 1347043929768 1370981831024 1406922405408 1416276942678 1454973034008 1459297590582 1490346475488 1524165939192 1542354559902 1576220786842 1609757399328 1614542015112 1706434832232 1706795289894 1743110083296 1748291057784 1753058734752 1796058573024 1808000451834 1888369256904 1893981979266 1898282535264 1939964045344 1945730120776 2032221252256 2045733361646 2056472746536 2152722686816 2182459551012 2188946385873 2227845475414 2275246442976 2275727053192 2282491103218 2286248908788 2331054743712 2364331180263 2410667269112 2414636098992 2421813022668 2517825675872 2525309305688 2560192934841 2629588102128 2694087859536 2712000677751 2741963662048 2832553885356 2840972968899 2909946068016 2918595181164 3048331878384 3068600042469 3084709119804 3152441573684 3161811446261 3229084030224 3341768213121 3412869664464 3413590579788 3423736654827 3496582115568 3616000903668 3698056461437 3776738513808 3787963958532 3891460241552 3917334312307 4091466723292 4103627621743 4112945493072 4364919102024 4377892771746 4455690950828 4551454106384 4564982206436 4572497817576 4728662360526 4821334538224 4829272197984 4843626045336 5050618611376 5120385869682 5259176204256 5388175719072 5424001355502 5665107770712 5681945937798 5819892136032 5837190362328 6096663756768 6137200084938 6169418239608 6304883147368 6323622892522 6458168060448 6683536426242 6825739328928 6827181159576 6847473309654 6993164231136 7092993540789 7232001807336 7396112922874 7553477027616 7575927917064 7782920483104 7834668624614 8182933446584 8207255243486 8225890986144 8729838204048 8755785543492 8911381901656 9102908212768 9129964412872 9144995635152 9205800127407 9457324721052 9485434338783 9642669076448 9687252090672 10025304639363 10101237222752 10240771739364 10271209964481 10848002711004 11094169384311 11330215541424 11363891875596 11674380724656 11752002936921 12274400169876 12310882865229 12338836479216 12609766294736 12647245785044 13367072852484 13654362319152 13694946619308 14162670206033 14185987081578 14464003614672 14792225845748 14836192170917 15151855834128 15669337249228 16365866893168 16414510486972 17459676408096 17511571086984 17822763803312 18259928825744 18289991270304 18381337926979 18411600254814 18914649442104 18970868677566 19374504181344 20050609278726 20481543478728 20542419928962 21696005422008 22188338768622 22660431082848 22727783751192 23348761449312 23504005873842 24548800339752 24621765730458 24677672958432 25219532589472 25294491570088 26734145704968 27308724638304 27389893238616 28325340412066 28371974163156 28456303016349 28928007229344 29584451691496 29672384341834 30303711668256 31338674498456 32731733786336 32829020973944 33282508152933 35023142173968 35256008810763 35645527606624 36519857651488 36762675853958 36823200509628 36932648595687 37829298884208 37941737355132 40101218557452 40963086957456 41084839857924 42488010618099 43392010844016 44376677537244 44508576512751 45455567502384 47008011747684 48074733998681 49097600679504 49243531460916 50588983140176 50925346059991 53468291409936 54779786477232 55144013780937 56650680824132 56743948326312 56912606032698 59168903382992 59344768683668 62677348996912 65658041947888 66565016305866 70046284347936 70512017621526 73525351707916 73646401019256 73865297191374 75658597768416 75883474710264 80202437114904 81926173914912 82169679715848 84976021236198 86784021688032 88753355074488 89017153025502 90911135004768 94016023495368 96149467997362 98195201359008 98487062921832 101177966280352 101850692119982 106936582819872 109559572954464 110288027561874 113301361648264 113487896652624 113825212065396 118337806765984 118689537367336 125354697993824 127464031854297 131316083895776 133130032611732 133525729538253 141024035243052 144224201996043 147050703415832 147292802038512 147730594382748 151766949420528 152776038179973 160404874229808 164339359431696 165432041342811 169952042472396 177506710148976 178034306051004 184114712678429 188032046990736 192298935994724 192870498221921 196974125843664 203701384239964 220576055123748 226602723296528 226975793305248 227650424130792 237379074734672 238957393050727 254928063708594 266260065223464 267051459076506 282048070486104 288448403992086 294101406831664 294585604077024 295461188765496 303533898841056 305552076359946 320809748459616 328678718863392 330864082685622 339904084944792 355013420297952 356068612102008 368229425356858 376064093981472 384597871989448 385740996443842 393948251687328 407402768479928 432672605988129 441152110247496 453205446593056 455300848261584 458328114539919 474758149469344 477914786101454 509856127417188 532520130446928 534102918153012 552344138035287 564096140972208 576896807984172 578611494665763 588202813663328 590922377530992 611104152719892 661728165371244 679808169889584 712137224204016 716872179152181 736458850713716 769195743978896 771481992887684 814805536959856 863922882568013 865345211976258 882304220494992 910601696523168 916656229079838 955829572202908 1019712254834376 1065040260893856 1068205836306024 1104688276070574 1128192281944416 1153793615968344 1157222989331526 1181844755061984 1222208305439784 1323456330742488 1359616339779168 1424274448408032 1433744358304362 1472917701427432 1538391487957792 1542963985775368 1629611073919712 1657032414105861 1727845765136026 1730690423952516 1735834483997289 1764608440989984 1833312458159676 1911659144405816 2039424509668752 2136411672612048 2150616537456543 2209376552141148 2307587231936688 2314445978663052 2393491264819577 2444416610879568 2591768647704039 2646912661484976 2867488716608724 2945835402854864 3085927971550736 3106446109659451 3314064828211722 3455691530272052 3461380847905032 3471668967994578 3666624916319352 3823318288811632 4078849019337504 4272823345224096 4301233074913086 4418753104282296 4615174463873376 4628891957326104 4786982529639154 4888833221759136 5183537295408078 5293825322969952 5734977433217448 5891670805709728 6171855943101472 6212892219318902 6628129656423444 6911383060544104 6922761695810064 6943337935989156 7180473794458731 7333249832638704 7646636577623264 7775305943112117 8602466149826172 8837506208564592 9257783914652208 9319338328978353 9573965059278308 10367074590816156 11230997473384169 11469954866434896 12425784438637804 13256259312846888 13822766121088208 13845523391620128 13886675871978312 14360947588917462 14666499665277408 15550611886224234 17204932299652344 17675012417129184 18515567829304416 18638676657956706 19147930118556616 20734149181632312 21541421383376193 22461994946768338 22939909732869792 24851568877275608 26512518625693776 27645532242176416 27773351743956624 27958014986935059 28721895177834924 31101223772448468 33692992420152507 34409864599304688 37277353315913412 38295860237113232 41468298363264624 43082842766752386 44923989893536676 49703137754551216 53025037251387552 55546703487913248 55916029973870118 57443790355669848 62202447544896936 67385984840305014 68819729198609376 74554706631826824 76591720474226464 82936596726529248 86165685533504772 89847979787073352 99406275509102432 101078977260457521 111832059947740236 114887580711339696 124404895089793872 134771969680610028 146002967153994197 149109413263653648 172331371067009544 179695959574146704 202157954520915042 223664119895480472 229775161422679392 248809790179587744 269543939361220056 292005934307988394 298218826527307296 344662742134019088 359391919148293408 404315909041830084 438008901461982591 447328239790960944 539087878722440112 584011868615976788 689325484268038176 808631818083660168 876017802923965182 894656479581921888 1078175757444880224 1168023737231953576 1314026704385947773 1617263636167320336 1752035605847930364 2336047474463907152 2628053408771895546 3234527272334640672 3504071211695860728 4672094948927814304 5256106817543791092 7008142423391721456 10512213635087582184 14016284846783442912 21024427270175164368 42048854540350328736
- Sum of all divisors σ(n): 134627821984338149376
- Sum of proper divisors (its aliquot sum) s(n): 92578967443987820640
- 42048854540350328736 is an abundant number, because the sum of its proper divisors (92578967443987820640) is greater than itself. Its abundance is 50530112903637491904
Bases of 42048854540350328736
- Binary: 1001000111100010111000101001101011100010011010011100001111101000002
- Hexadecimal: 0x2478B8A6B89A70FA0
- Base-36: 8VGTUX9WP2UG0
Squares and roots of 42048854540350328736
- 42048854540350328736 squared (420488545403503287362) is 1768106168155540455722614853103267357696
- 42048854540350328736 cubed (420488545403503287363) is 74346839076668519116769276485832924350591746870731699552256
-
The
square root of 42048854540350328736 is 6484508812.5740355675 -
The
cube root of 42048854540350328736 is 3477373.8979146859
Scales and comparisons
How big is 42048854540350328736?- 42,048,854,540,350,328,736 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,048,854,540,350,328,736 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 42048854540350328736 cubic inches would be around 289781.2 feet tall.
Recreational maths with 42048854540350328736
- 42048854540350328736 backwards is 63782305304545884024
- The number of decimal digits it has is: 20
- The sum of 42048854540350328736'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 42048854540350328736 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 42048854540350328736 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/42048854540350328736/
Chicago style:
Numbermatics. 2024. "Number 42048854540350328736 - Facts about the integer". https://numbermatics.com/n/42048854540350328736/
The information we have on file for 42048854540350328736 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 42048854540350328736, math, Factors of 42048854540350328736, curriculum, school, college, exams, university, Prime factorization of 42048854540350328736, STEM, science, technology, engineering, physics, economics, calculator, forty-two quintillion, forty-eight quadrillion, eight hundred fifty-four trillion, five hundred forty billion, three hundred fifty million, three hundred twenty-eight thousand, seven hundred thirty-six.