48742042338946400832
48,742,042,338,946,400,832 is an even composite number composed of five prime numbers multiplied together.
48742042338946400832 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty-four divisors.
Prime factorization of 48742042338946400832:
26 × 36 × 232 × 973 × 14712
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 23 × 23 × 97 × 97 × 97 × 1471 × 1471)See below for interesting mathematical facts about the number 48742042338946400832 from the Numbermatics database.
Names of 48742042338946400832
- Cardinal: 48742042338946400832 can be written as Forty-eight quintillion, seven hundred forty-two quadrillion, forty-two trillion, three hundred thirty-eight billion, nine hundred forty-six million, four hundred thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 4.8742042338946400832 × 1019
Factors of 48742042338946400832
Divisors of 48742042338946400832
- Number of divisors d(n): 1764
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 97 108 138 144 162 184 192 194 207 216 243 276 288 291 324 368 388 414 432 486 529 552 576 582 621 648 729 736 776 828 864 873 972 1058 1104 1164 1242 1296 1458 1471 1472 1552 1587 1656 1728 1746 1863 1944 2116 2208 2231 2328 2484 2592 2619 2916 2942 3104 3174 3312 3492 3726 3888 4232 4413 4416 4462 4656 4761 4968 5184 5238 5589 5832 5884 6208 6348 6624 6693 6984 7452 7776 7857 8464 8826 8924 9312 9409 9522 9936 10476 11178 11664 11768 12696 13239 13248 13386 13968 14283 14904 15552 15714 16767 16928 17652 17848 18624 18818 19044 19872 20079 20952 22356 23328 23536 23571 25392 26478 26772 27936 28227 28566 29808 31428 33534 33833 33856 35304 35696 37636 38088 39717 39744 40158 41904 42849 44712 46656 47072 47142 50784 51313 52956 53544 55872 56454 57132 59616 60237 62856 67068 67666 70608 70713 71392 75272 76176 79434 80316 83808 84681 85698 89424 94144 94284 101499 101568 102626 105912 107088 112908 114264 119151 119232 120474 125712 128547 134136 135332 141216 141426 142687 142784 150544 152352 153939 158868 160632 167616 169362 171396 178848 180711 188568 202998 205252 211824 214176 216407 225816 228528 238302 240948 251424 254043 257094 268272 270664 282432 282852 285374 301088 304497 304704 307878 317736 321264 338724 342792 357453 357696 361422 377136 385641 405996 410504 423648 428061 428352 432814 451632 457056 461817 476604 481896 502848 508086 514188 536544 541328 542133 565704 570748 602176 608994 615756 635472 642528 649221 677448 685584 714906 722844 754272 762129 771282 778159 811992 821008 847296 856122 865628 903264 912673 913491 914112 923634 953208 963792 1016172 1028376 1072359 1073088 1082656 1084266 1131408 1141496 1217988 1231512 1270944 1284183 1285056 1298442 1354896 1371168 1385451 1429812 1445688 1508544 1524258 1542564 1556318 1623984 1626399 1642016 1712244 1731256 1806528 1825346 1826982 1847268 1906416 1927584 1947663 2032344 2056752 2144718 2163841 2165312 2168532 2262816 2282992 2286387 2334477 2435976 2463024 2541888 2568366 2596884 2709792 2738019 2740473 2742336 2770902 2859624 2891376 3048516 3085128 3112636 3247968 3252798 3281801 3284032 3424488 3462512 3650692 3653964 3694536 3812832 3852549 3855168 3895326 4064688 4113504 4156353 4289436 4327682 4337064 4525632 4565984 4572774 4668954 4871952 4926048 4977361 5136732 5193768 5419584 5476038 5480946 5541804 5719248 5782752 5842989 6097032 6170256 6225272 6491523 6495936 6505596 6563602 6848976 6859161 6925024 7003431 7301384 7307928 7389072 7625664 7705098 7790652 8129376 8214057 8221419 8227008 8312706 8578872 8655364 8674128 9131968 9145548 9337908 9743904 9845403 9852096 9954722 10273464 10387536 10952076 10961892 11083608 11438496 11557647 11565504 11685978 12194064 12340512 12450544 12469059 12983046 13011192 13127204 13697952 13718322 13840639 13850048 14006862 14602768 14615856 14778144 14932083 15410196 15581304 16258752 16428114 16442838 16625412 17157744 17310728 17348256 17528967 18291096 18675816 19474569 19487808 19690806 19909444 20546928 20775072 20991479 21010293 21904152 21923784 22167216 22876992 23115294 23371956 24388128 24642171 24664257 24681024 24901088 24938118 25966092 26022384 26254408 27395904 27436644 27681278 28013724 29205536 29231712 29536209 29556288 29864166 30820392 31162608 32856228 32885676 33250824 34315488 34621456 34672941 34696512 35057934 36582192 37351632 37407177 38949138 39381612 39818888 41093856 41521917 41550144 41982958 42020586 43808304 43847568 44334432 44796249 46230588 46743912 48776256 49284342 49328514 49768343 49802176 49876236 51932184 52044768 52508816 52586901 54873288 55362556 56027448 58411072 58423707 58463424 59072418 59728332 61640784 62325216 62974437 63030879 65712456 65771352 66501648 68630976 69242912 69345882 70115868 73164384 73926513 74703264 74814354 75481423 77898276 78763224 79637776 82187712 83043834 83965916 84041172 87616608 87695136 88608627 88668864 89592498 92461176 93487824 98568684 98657028 99536686 99752472 103864368 104018823 104089536 105017632 105173802 109746576 110725112 112054896 116847414 118144836 119456664 123281568 124565751 124650432 125948874 126061758 131424912 131542704 133003296 134388747 138485824 138691764 140231736 146328768 147853026 149305029 149406528 149628708 150962846 155796552 157526448 157760703 159275552 166087668 167931832 168082344 175233216 175271121 175390272 177217254 179184996 184922352 186975648 188923311 189092637 197137368 197314056 199073372 199504944 207728736 208037646 209892577 210035264 210347604 219493152 221450224 221779539 224109792 226444269 233694828 236289672 238913328 246563136 249131502 251897748 252123516 262849824 263085408 265825881 266006592 268777494 277383528 280463472 295706052 298610058 299257416 301925692 311593104 315052896 315521406 318334697 318551104 332175336 335863664 336164688 350542242 354434508 358369992 369844704 373697253 373951296 377846622 378185274 394274736 394628112 398146744 399009888 403166241 415457472 416075292 419785154 420695208 438986304 442900448 443559078 447915087 448219584 452888538 467389656 472579344 477826656 482804017 498263004 503795496 504247032 525699648 525813363 526170816 531651762 537554988 554767056 560926944 566769933 567277911 591412104 597220116 598514832 603851384 623186208 629677731 630105792 631042812 636669394 664350672 665338617 671727328 672329376 679332807 701084484 708869016 716739984 739689408 747394506 755693244 756370548 788549472 789256224 796293488 797477643 798019776 806332482 832150584 839570308 841390416 885800896 887118156 895830174 905777076 934779312 945158688 955004091 955653312 965608034 996526008 1007590992 1008494064 1051626726 1063303524 1075109976 1109534112 1121091759 1121853888 1133539866 1134555822 1144671889 1182824208 1194440232 1197029664 1207702768 1209498723 1246372416 1259355462 1262085624 1273338788 1328701344 1330677234 1342541983 1343454656 1343745261 1344658752 1358665614 1402168968 1417738032 1433479968 1448412051 1494789012 1511386488 1512741096 1577098944 1577440089 1578512448 1592586976 1594955286 1612664964 1664301168 1679140616 1682780832 1700309799 1774236312 1791660348 1811554152 1869558624 1889033193 1890317376 1910008182 1931216068 1993052016 2015181984 2016988128 2037998421 2103253452 2126607048 2150219952 2219068224 2242183518 2267079732 2269111644 2289343778 2365648416 2388880464 2392432929 2394059328 2415405536 2418997446 2518710924 2524171248 2546677576 2657402688 2661354468 2685083966 2687490522 2717331228 2804337936 2835476064 2865012273 2866959936 2896824102 2989578024 3022772976 3025482192 3154880178 3185173952 3189910572 3225329928 3328602336 3358281232 3363275277 3365561664 3400619598 3434015667 3548472624 3583320696 3623108304 3628496169 3739117248 3778066386 3820016364 3862432136 3986104032 4027625949 4030363968 4031235783 4033976256 4075996842 4206506904 4253214096 4300439904 4345236153 4484367036 4534159464 4538223288 4578687556 4731296832 4777760928 4784865858 4827529271 4830811072 4837994892 5037421848 5048342496 5093355152 5100929397 5322708936 5370167932 5374981044 5434662456 5608675872 5667099579 5670952128 5730024546 5793648204 5979156048 6045545952 6050964384 6113995263 6309760356 6379821144 6450659856 6657204672 6716562464 6726550554 6801239196 6868031334 7096945248 7166641392 7246216608 7256992338 7321698031 7556132772 7640032728 7724864272 7972208064 8055251898 8062471566 8151993684 8413013808 8506428192 8595036819 8600879808 8690472306 8968734072 9068318928 9076446576 9157375112 9555521856 9569731716 9655058542 9675989784 10074843696 10089825831 10096684992 10186710304 10201858794 10302047001 10645417872 10740335864 10749962088 10869324912 11217351744 11334199158 11460049092 11587296408 11958312096 12082877847 12091091904 12093707349 12101928768 12227990526 12619520712 12759642288 12901319712 13035708459 13433124928 13453101108 13602478392 13736062668 14193890496 14333282784 14482587813 14492433216 14513984676 14643396062 15112265544 15280065456 15302788191 15449728544 16110503796 16124943132 16303987368 16826027616 17001298737 17012856384 17190073638 17380944612 17937468144 18136637856 18152893152 18314750224 18341985789 19139463432 19310117084 19351979568 20149687392 20179651662 20359579969 20373420608 20403717588 20604094002 21290835744 21480671728 21499924176 21738649824 21965094093 22668398316 22920098184 23174592816 23916624192 24165755694 24187414698 24455981052 25239041424 25519284576 25785110457 25802639424 26071416918 26906202216 27204956784 27472125336 28666565568 28965175626 29027969352 29286792124 30224531088 30560130912 30605576382 30878465609 30899457088 30906141003 32221007592 32249886264 32607974736 33652055232 34002597474 34380147276 34761889224 35874936288 36248633541 36273275712 36281122047 36305786304 36629500448 36683971578 38278926864 38620234168 38703959136 39107125377 40299374784 40359303324 40719159938 40807435176 41208188004 42581671488 42961343456 42999848352 43447763439 43477299648 43930188186 45336796632 45840196368 46349185632 48331511388 48374829396 48911962104 50478082848 51003896211 51038569152 51570220914 52142833836 53812404432 54409913568 54944250672 55025957367 57930351252 58055938704 58573584248 60449062176 61078739907 61120261824 61211152764 61756931218 61812282006 64442015184 64499772528 65215949472 65895282279 68005194948 68760294552 69523778448 71749872576 72497267082 72562244094 73259000896 73367943156 76557853728 77240468336 77355331371 77407918272 78214250754 80718606648 81438319876 81614870352 82416376008 85922686912 85999696704 86895526878 87860376372 90673593264 91680392736 92635396827 92698371264 92718423009 96663022776 96749658792 97823924208 100956165696 102007792422 103140441828 104285667672 107624808864 108745900623 108819827136 109888501344 110051914734 111033173233 115860702504 116111877408 117147168496 117321376131 120898124352 122157479814 122422305528 123513862436 123624564012 128884030368 128999545056 130343290317 130431898944 131790564558 136010389896 137520589104 139047556896 144994534164 145124488188 146735886312 153011688633 153115707456 154480936672 154710662742 156428501508 161437213296 162876639752 163229740704 164832752016 173791053756 175720752744 181347186528 183236219721 183360785472 185270793654 185436846018 193326045552 193499317584 195647848416 197685846837 204015584844 206280883656 208571335344 215249617728 217491801246 219777002688 220103829468 222066346466 231721405008 232065994113 232223754816 234294336992 234642752262 244314959628 244844611056 247027724872 247249128024 257768060736 257999090112 260686580634 263581129116 272020779792 275041178208 277906190481 278095113792 278155269027 289989068328 290248976376 293471772624 306023377266 308961873344 309421325484 312857003016 322874426592 325753279504 326237701869 326459481408 329665504032 333099519699 347582107512 351441505488 351964128393 362694373056 366472439442 370541587308 370873692036 386652091104 386998635168 391029870951 391295696832 395371693674 408031169688 412561767312 417142670688 434983602492 440207658936 444132692932 463442810016 464131988226 468270339287 468588673984 469285504524 488629919256 489689222112 494055449744 494498256048 521373161268 527162258232 544041559584 549708659163 550082356416 555812380962 556310538054 579978136656 580497952752 586943545248 593057540511 612046754532 618842650968 625714006032 645748853184 651506559008 652475403738 659331008064 666199039398 695164215024 702883010976 703928256786 710204709007 732944878884 741083174616 741747384072 773304182208 773997270336 782059741902 790743387348 816062339376 825123534624 833718571443 834285341376 834465807081 869967204984 880415317872 888265385864 926885620032 928263976452 936540678574 938571009048 977259838512 978713105607 979378444224 988110899488 988996512096 999298559097 1042746322536 1054324516464 1088083119168 1099417318326 1111624761924 1112621076108 1159956273312 1160995905504 1173089612853 1173887090496 1186115081022 1224093509064 1237685301936 1251428012064 1303013118016 1304950807476 1332398078796 1390328430048 1404811017861 1405766021952 1407856513572 1420409418014 1465889757768 1482166349232 1483494768144 1564119483804 1581486774696 1632124678752 1649125977489 1650247069248 1667437142886 1668931614162 1739934409968 1760830635744 1776530771728 1779172621533 1856527952904 1873081357148 1877142018096 1954519677024 1957426211214 1974879256993 1976221798976 1977993024192 1998597118194 2085492645072 2108649032928 2130614127021 2198834636652 2223249523848 2225242152216 2319912546624 2321991811008 2346179225706 2372230162044 2448187018128 2475370603872 2501155714329 2502856024128 2609901614952 2664796157592 2780656860096 2809622035722 2815713027144 2840818836028 2931779515536 2964332698464 2966989536288 2997895677291 3128238967608 3162973549392 3264249357504 3298251954978 3334874285772 3337863228324 3479868819936 3519268838559 3521661271488 3553061543456 3558345243066 3713055905808 3746162714296 3754284036192 3909039354048 3914852422428 3949758513986 3997194236388 4170985290144 4214433053583 4217298065856 4261228254042 4397669273304 4446499047696 4450484304432 4692358451412 4744460324088 4896374036256 4947377932467 4950741207744 5002311428658 5219803229904 5329592315184 5337517864599 5619244071444 5631426054288 5681637672056 5863559031072 5924637770979 5928665396928 5933979072576 5995791354582 6256477935216 6325947098784 6391842381063 6596503909956 6669748571544 6675726456648 6959737639872 7038537677118 7106123086912 7116690486132 7426111811616 7492325428592 7503467142987 7508568072384 7829704844856 7899517027972 7994388472776 8341970580288 8428866107166 8522456508084 8795338546608 8892998095392 8900968608864 8993687031873 9384716902824 9488920648176 9792748072512 9894755864934 10004622857316 10439606459808 10659184630368 10675035729198 10770217803601 11238488142888 11262852108576 11363275344112 11727118062144 11849275541958 11991582709164 12512955870432 12643299160749 12651894197568 12783684762126 13193007819912 13339497143088 13351452913296 14077075354236 14233380972264 14842133797401 14852223623232 14984650857184 15006934285974 15659409689712 15799034055944 15988776945552 16857732214332 17044913016168 17590677093216 17773913312937 17785996190784 17801937217728 17987374063746 18769433805648 18977841296352 19175527143189 19789511729868 20009245714632 20879212919616 21318369260736 21350071458396 21540435607202 22476976285776 22510401428961 22525704217152 22726550688224 23698551083916 23983165418328 25025911740864 25286598321498 25567369524252 26386015639824 26678994286176 26702905826592 26981061095619 28154150708472 28466761944528 29684267594802 29969301714368 30013868571948 31318819379424 31598068111888 31977553891104 32310653410803 33715464428664 34089826032336 35181354186432 35547826625874 35974748127492 37538867611296 37929897482247 37955682592704 38351054286378 39579023459736 40018491429264 42700142916792 43080871214404 44953952571552 45020802857922 45422222910839 45453101376448 47397102167832 47966330836656 50573196642996 51134739048504 52772031279648 53321739938811 53357988572352 53405811653184 53962122191238 56308301416944 56933523889056 57526581429567 59368535189604 60027737143896 62637638758848 63196136223776 63955107782208 64621306821606 67430928857328 68179652064672 71095653251748 71949496254984 75077735222592 75859794964494 76702108572756 79158046919472 80036982858528 80943183286857 85400285833584 86161742428808 89907905143104 90041605715844 90844445821678 94794204335664 95932661673312 96931960232409 101146393285992 102269478097008 105544062559296 106643479877622 107924244382476 112616602833888 113789692446741 113867047778112 115053162859134 118737070379208 120055474287792 126392272447552 129242613643212 134861857714656 136266668732517 136359304129344 142191306503496 143898992509968 151719589928988 153404217145512 158316093838944 159965219816433 160073965717056 161886366573714 170800571667168 172323484857616 172579744288701 180083211431688 181688891643356 189588408671328 191865323346624 193863920464818 202292786571984 204538956194016 213286959755244 215848488764952 225233205667776 227579384893482 230106325718268 237474140758416 240110948575584 258485227286424 269723715429312 272533337465034 284382613006992 287797985019936 290795880697227 303439179857976 306808434291024 316632187677888 319930439632866 323772733147428 341369077340223 341601143334336 344646969715232 345159488577402 360166422863376 363377783286712 379176817342656 387727840929636 404585573143968 408800006197551 409077912388032 426573919510488 431696977529904 455158769786964 460212651436536 474948281516832 479895659449299 480221897151168 516970454572848 517739232866103 545066674930068 568765226013984 575595970039872 581591761394454 606878359715952 613616868582048 639860879265732 647545466294856 682738154680446 689293939430464 690318977154804 720332845726752 726755566573424 775455681859272 809171146287936 817600012395102 853147839020976 863393955059808 872387642091681 910317539573928 920425302873072 949896563033664 959791318898598 1033940909145696 1035478465732206 1044711126949297 1090133349860136 1137530452027968 1163183522788908 1213756719431904 1226400018592653 1227233737164096 1279721758531464 1295090932589712 1365476309360892 1380637954309608 1439686978347897 1440665691453504 1453511133146848 1550911363718544 1635200024790204 1706295678041952 1726787910119616 1744775284183362 1820635079147856 1840850605746144 1919582637797196 2067881818291392 2070956931464412 2089422253898594 2180266699720272 2326367045577816 2427513438863808 2452800037185306 2559443517062928 2590181865179424 2617162926275043 2730952618721784 2761275908619216 2879373956695794 2907022266293696 3101822727437088 3134133380847891 3270400049580408 3412591356083904 3489550568366724 3641270158295712 3679200055777959 3681701211492288 3839165275594392 4141913862928824 4178844507797188 4360533399440544 4652734091155632 4905600074370612 5118887034125856 5180363730358848 5234325852550086 5461905237443568 5522551817238432 5758747913391588 6203645454874176 6268266761695782 6540800099160816 6979101136733448 7282540316591424 7358400111555918 7678330551188784 7851488778825129 8283827725857648 8357689015594376 8721066798881088 9305468182311264 9402400142543673 9811200148741224 10237774068251712 10468651705100172 10923810474887136 11037600167333877 11045103634476864 11517495826783176 12536533523391564 13081600198321632 13958202273466896 14716800223111836 15356661102377568 15702977557650258 16567655451715296 16715378031188752 18610936364622528 18804800285087346 19622400297482448 20937303410200344 21847620949774272 22075200334667754 23034991653566352 25073067046783128 26163200396643264 27916404546933792 28207200427631019 29433600446223672 30713322204755136 31405955115300516 33112800502001631 33135310903430592 33430756062377504 37609600570174692 39244800594964896 41874606820400688 44150400669335508 46069983307132704 50146134093566256 55832809093867584 56414400855262038 58867200892447344 62811910230601032 66225601004003262 66861512124755008 75219201140349384 78489601189929792 83749213640801376 84621601282893057 88300801338671016 92139966614265408 100292268187132512 112828801710524076 117734401784894688 125623820461202064 132451202008006524 150438402280698768 167498427281602752 169243202565786114 176601602677342032 200584536374265024 225657603421048152 235468803569789376 251247640922404128 253864803848679171 264902404016013048 300876804561397536 338486405131572228 353203205354684064 451315206842096304 502495281844808256 507729607697358342 529804808032026096 601753609122795072 676972810263144456 706406410709368128 761594411546037513 902630413684192608 1015459215394716684 1059609616064052192 1353945620526288912 1523188823092075026 1805260827368385216 2030918430789433368 2119219232128104384 2707891241052577824 3046377646184150052 4061836861578866736 5415782482105155648 6092755292368300104 8123673723157733472 12185510584736600208 16247347446315466944 24371021169473200416 48742042338946400832
- Sum of all divisors σ(n): 153279966433132430220
- Sum of proper divisors (its aliquot sum) s(n): 104537924094186029388
- 48742042338946400832 is an abundant number, because the sum of its proper divisors (104537924094186029388) is greater than itself. Its abundance is 55795881755239628556
Bases of 48742042338946400832
- Binary: 1010100100011011101000010101000010110001111111001101000010010000002
- Hexadecimal: 0x2A46E8542C7F34240
- Base-36: AABHNZCDDD000
Squares and roots of 48742042338946400832
- 48742042338946400832 squared (487420423389464008322) is 2375786691371643525089020524966810292224
- 48742042338946400832 cubed (487420423389464008323) is 115800695499142034493901254300234915207290026212658956730368
-
The
square root of 48742042338946400832 is 6981550138.6831277867 -
The
cube root of 48742042338946400832 is 3652873.0076196941
Scales and comparisons
How big is 48742042338946400832?- 48,742,042,338,946,400,832 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,742,042,338,946,400,832 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 48742042338946400832 cubic inches would be around 304406.1 feet tall.
Recreational maths with 48742042338946400832
- 48742042338946400832 backwards is 23800464983324024784
- 48742042338946400832 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 48742042338946400832'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 48742042338946400832 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 48742042338946400832 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/48742042338946400832/
Chicago style:
Numbermatics. 2024. "Number 48742042338946400832 - Facts about the integer". https://numbermatics.com/n/48742042338946400832/
The information we have on file for 48742042338946400832 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 48742042338946400832, math, Factors of 48742042338946400832, curriculum, school, college, exams, university, Prime factorization of 48742042338946400832, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quintillion, seven hundred forty-two quadrillion, forty-two trillion, three hundred thirty-eight billion, nine hundred forty-six million, four hundred thousand, eight hundred thirty-two.