42384632331090825216
42,384,632,331,090,825,216 is an even composite number composed of five prime numbers multiplied together.
42384632331090825216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-three divisors.
Prime factorization of 42384632331090825216:
212 × 32 × 72 × 4312 × 112392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 431 × 431 × 11239 × 11239)See below for interesting mathematical facts about the number 42384632331090825216 from the Numbermatics database.
Names of 42384632331090825216
- Cardinal: 42384632331090825216 can be written as Forty-two quintillion, three hundred eighty-four quadrillion, six hundred thirty-two trillion, three hundred thirty-one billion, ninety million, eight hundred twenty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.2384632331090825216 × 1019
Factors of 42384632331090825216
Divisors of 42384632331090825216
- Number of divisors d(n): 1053
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 384 392 431 441 448 504 512 576 588 672 768 784 862 882 896 1008 1024 1152 1176 1293 1344 1536 1568 1724 1764 1792 2016 2048 2304 2352 2586 2688 3017 3072 3136 3448 3528 3584 3879 4032 4096 4608 4704 5172 5376 6034 6144 6272 6896 7056 7168 7758 8064 9051 9216 9408 10344 10752 11239 12068 12288 12544 13792 14112 14336 15516 16128 18102 18432 18816 20688 21119 21504 22478 24136 25088 27153 27584 28224 28672 31032 32256 33717 36204 36864 37632 41376 42238 43008 44956 48272 50176 54306 55168 56448 62064 63357 64512 67434 72408 75264 78673 82752 84476 86016 89912 96544 100352 101151 108612 110336 112896 124128 126714 129024 134868 144816 150528 157346 165504 168952 179824 185761 190071 193088 200704 202302 217224 220672 225792 236019 248256 253428 258048 269736 289632 301056 314692 331008 337904 359648 371522 380142 386176 404604 434448 441344 451584 472038 496512 506856 539472 550711 557283 579264 602112 629384 662016 675808 708057 719296 743044 760284 772352 809208 868896 882688 903168 944076 993024 1013712 1078944 1101422 1114566 1158528 1258768 1300327 1324032 1351616 1416114 1438592 1486088 1520568 1544704 1618416 1652133 1671849 1737792 1765376 1806336 1888152 1986048 2027424 2157888 2202844 2229132 2317056 2517536 2600654 2648064 2703232 2832228 2877184 2972176 3041136 3089408 3236832 3304266 3343698 3475584 3776304 3900981 3972096 4054848 4315776 4405688 4458264 4634112 4844009 4956399 5035072 5201308 5296128 5406464 5664456 5754368 5944352 6082272 6178816 6473664 6608532 6687396 6951168 7552608 7801962 7944192 8109696 8631552 8811376 8916528 9102289 9268224 9688018 9912798 10070144 10402616 10812928 11328912 11508736 11702943 11888704 12164544 12357632 12947328 13217064 13374792 13902336 14532027 15105216 15603924 15888384 16219392 17263104 17622752 17833056 18204578 18536448 19376036 19825596 20140288 20805232 21625856 22657824 23017472 23405886 23777408 24329088 25894656 26434128 26749584 27306867 27804672 29064054 30210432 31207848 32438784 33908063 34526208 35245504 35666112 36409156 37072896 38752072 39651192 40280576 41610464 43251712 43596081 45315648 46034944 46811772 47554816 48658176 51789312 52868256 53499168 54613734 55609344 58128108 60420864 62415696 64877568 67816126 69052416 70491008 71332224 72818312 77504144 79302384 80561152 81920601 83220928 86503424 87192162 90631296 93623544 95109632 97316352 101724189 103578624 105736512 106998336 109227468 111218688 116256216 120841728 124831392 126315121 129755136 135632252 138104832 140982016 142664448 145636624 155008288 158604768 161122304 163841202 166441856 174384324 181262592 187247088 190219264 194632704 203448378 207157248 211473024 213996672 218454936 232512432 237356441 241683456 249662784 252630242 259510272 271264504 281964032 285328896 291273248 305172567 310016576 317209536 322244608 327682404 332883712 348768648 362525184 374494176 378945363 380438528 389265408 406896756 414314496 422946048 427993344 436909872 465024864 474712882 483366912 499325568 505260484 542529008 563928064 570657792 582546496 610345134 620033152 634419072 655364808 665767424 697537296 712069323 725050368 748988352 757890726 760877056 778530816 813793512 845892096 855986688 873819744 884205847 930049728 949425764 966733824 998651136 1010520968 1085058016 1127856128 1136836089 1141315584 1165092992 1220690268 1240066304 1268838144 1310729616 1331534848 1395074592 1424138646 1450100736 1497976704 1515781452 1627587024 1691784192 1711973376 1747639488 1768411694 1860099456 1898851528 1997302272 2021041936 2087767879 2136207969 2170116032 2255712256 2273672178 2282631168 2330185984 2441380536 2480132608 2537676288 2621459232 2652617541 2663069696 2790149184 2848277292 2900201472 2995953408 3031562904 3255174048 3383568384 3423946752 3495278976 3536823388 3720198912 3797703056 3994604544 4042083872 4175535758 4272415938 4340232064 4547344356 4660371968 4882761072 4960265216 5075352576 5242918464 5305235082 5326139392 5580298368 5696554584 5991906816 6063125808 6189440929 6263303637 6510348096 6767136768 6847893504 6990557952 7073646776 7440397824 7595406112 7957852623 7989209088 8084167744 8351071516 8544831876 8680464128 9094688712 9320743936 9765522144 9920530432 10150705152 10485836928 10610470164 11160596736 11393109168 11983813632 12126251616 12378881858 12526607274 13020696192 13981115904 14147293552 14614375153 14880795648 15190812224 15915705246 15978418176 16168335488 16702143032 17089663752 17360928256 18189377424 18568322787 18641487872 18789910911 19531044288 19841060864 20301410304 20971673856 21220940328 22321193472 22786218336 23967627264 24252503232 24757763716 25053214548 26041392384 27962231808 28294587104 29228750306 29761591296 30381624448 31831410492 32336670976 33404286064 34179327504 34721856512 36378754848 37136645574 37282975744 37579821822 39062088576 41943347712 42441880656 43843125459 44642386944 45572436672 47935254528 48505006464 49515527432 50106429096 52082784768 54441817151 55704968361 55924463616 56589174208 58457500612 59523182592 60763248896 63662820984 64673341952 66808572128 68358655008 69443713024 72757509696 74273291148 75159643644 78124177152 83886695424 84883761312 87686250918 89284773888 91144873344 97010012928 99031054864 100212858192 102300626071 104165569536 108883634302 111409936722 111848927232 113178348416 116915001224 121526497792 127325641968 129346683904 131529376377 133617144256 136717310016 138887426048 145515019392 148546582296 150319287288 156248354304 163325451453 167773390848 169767522624 175372501836 178569547776 182289746688 194020025856 198062109728 200425716384 204601252142 208331139072 217767268604 222819873444 226356696832 233830002448 243052995584 254651283936 258693367808 263058752754 267234288512 273434620032 291030038784 297093164592 300638574576 306901878213 312496708608 326650902906 335546781696 339535045248 350745003672 364579493376 381092720057 388040051712 396124219456 400851432768 409202504284 416662278144 435534537208 445639746888 452713393664 467660004896 486105991168 489976354359 509302567872 517386735616 526117505508 534468577024 546869240064 582060077568 594186329184 601277149152 613803756426 624993417216 653301805812 679070090496 701490007344 729158986752 762185440114 776080103424 792248438912 801702865536 818405008568 871069074416 891279493776 905426787328 920705634639 935320009792 972211982336 979952708718 1018605135744 1052235011016 1068937154048 1093738480128 1143278160171 1164120155136 1188372658368 1202554298304 1227607512852 1249986834432 1306603611624 1358140180992 1402980014688 1458317973504 1524370880228 1552160206848 1584496877824 1603405731072 1636810017136 1742138148832 1782558987552 1810853574656 1841411269278 1870640019584 1959905417436 2037210271488 2104470022032 2137874308096 2187476960256 2286556320342 2328240310272 2376745316736 2405108596608 2455215025704 2613207223248 2667649040399 2716280361984 2805960029376 2916635947008 3048741760456 3168993755648 3206811462144 3273620034272 3429834480513 3484276297664 3565117975104 3621707149312 3682822538556 3741280039168 3919810834872 4074420542976 4208940044064 4275748616192 4374953920512 4573112640684 4656480620544 4753490633472 4810217193216 4910430051408 5226414446496 5335298080798 5432560723968 5611920058752 6097483520912 6337987511296 6413622924288 6547240068544 6859668961026 6968552595328 7130235950208 7365645077112 7482560078336 7839621669744 8002947121197 8148841085952 8417880088128 8551497232384 8749907841024 9146225281368 9506981266944 9620434386432 9820860102816 10452828892992 10670596161596 10865121447936 11223840117504 12194967041824 12675975022592 12827245848576 13094480137088 13719337922052 13937105190656 14260471900416 14731290154224 14965120156672 15679243339488 16005894242394 16297682171904 16835760176256 18292450562736 19013962533888 19240868772864 19641720205632 20905657785984 21341192323192 22447680235008 23464423192081 24008841363591 24389934083648 25351950045184 25654491697152 26188960274176 27438675844104 27874210381312 28520943800832 29462580308448 29930240313344 31358486678976 32011788484788 32595364343808 33671520352512 36584901125472 38027925067776 38481737545728 39283440411264 41811315571968 42682384646384 44895360470016 46928846384162 48017682727182 48779868167296 52377920548352 54877351688208 55748420762624 57041887601664 58925160616896 59860480626688 62716973357952 64023576969576 67343040705024 70393269576243 73169802250944 76055850135552 76963475091456 78566880822528 83622631143936 85364769292768 89790720940032 93857692768324 96035365454364 97559736334592 104755841096704 109754703376416 111496841525248 114083775203328 117850321233792 125433946715904 128047153939152 134686081410048 140786539152486 146339604501888 157133761645056 164250962344567 167245262287872 170729538585536 179581441880064 187715385536648 192070730908728 195119472669184 209511682193408 211179808728729 219509406752832 222993683050496 228167550406656 235700642467584 250867893431808 256094307878304 269372162820096 281573078304972 292679209003776 314267523290112 328501924689134 334490524575744 341459077171072 375430771073296 384141461817456 390238945338368 419023364386816 422359617457458 439018813505664 471401284935168 492752887033701 501735786863616 512188615756608 538744325640192 563146156609944 585358418007552 628535046580224 657003849378268 668981049151488 682918154342144 750861542146592 768282923634912 780477890676736 844719234914916 878037627011328 942802569870336 985505774067402 1003471573727232 1024377231513216 1126292313219888 1149756736411969 1170716836015104 1257070093160448 1314007698756536 1365836308684288 1478258661101103 1501723084293184 1536565847269824 1560955781353472 1689438469829832 1756075254022656 1885605139740672 1971011548134804 2006943147454464 2048754463026432 2252584626439776 2299513472823938 2341433672030208 2628015397513072 2731672617368576 2956517322202206 3003446168586368 3073131694539648 3378876939659664 3449270209235907 3512150508045312 3771210279481344 3942023096269608 4097508926052864 4505169252879552 4599026945647876 4682867344060416 5256030795026144 5463345234737152 5913034644404412 6006892337172736 6146263389079296 6757753879319328 6898540418471814 7024301016090624 7884046192539216 8195017852105728 9010338505759104 9198053891295752 10347810627707721 10512061590052288 10926690469474304 11826069288808824 12013784674345472 12292526778158592 13515507758638656 13797080836943628 14048602032181248 15768092385078432 16390035704211456 18020677011518208 18396107782591504 20695621255415442 21024123180104576 23652138577617648 24027569348690944 24585053556317184 27031015517277312 27594161673887256 31536184770156864 32780071408422912 36041354023036416 36792215565183008 41391242510830884 42048246360209152 47304277155235296 48055138697381888 49170107112634368 54062031034554624 55188323347774512 63072369540313728 72082708046072832 73584431130366016 82782485021661768 84096492720418304 94608554310470592 96110277394763776 98340214225268736 108124062069109248 110376646695549024 126144739080627456 144165416092145664 147168862260732032 165564970043323536 168192985440836608 189217108620941184 216248124138218496 220753293391098048 252289478161254912 288330832184291328 294337724521464064 331129940086647072 336385970881673216 378434217241882368 432496248276436992 441506586782196096 504578956322509824 588675449042928128 662259880173294144 672771941763346432 756868434483764736 864992496552873984 883013173564392192 1009157912645019648 1177350898085856256 1324519760346588288 1513736868967529472 1766026347128784384 2018315825290039296 2354701796171712512 2649039520693176576 3027473737935058944 3532052694257568768 4709403592343425024 5298079041386353152 6054947475870117888 7064105388515137536 10596158082772706304 14128210777030275072 21192316165545412608 42384632331090825216
- Sum of all divisors σ(n): 142761949302936417363
- Sum of proper divisors (its aliquot sum) s(n): 100377316971845592147
- 42384632331090825216 is an abundant number, because the sum of its proper divisors (100377316971845592147) is greater than itself. Its abundance is 57992684640754766931
Bases of 42384632331090825216
- Binary: 1001001100001101000111011010001010101011100011010010010000000000002
- Hexadecimal: 0x24C34768AAE349000
- Base-36: 8Y0O27TGYBR40
Squares and roots of 42384632331090825216
- 42384632331090825216 squared (423846323310908252162) is 1796457057841749680334095566211861446656
- 42384632331090825216 cubed (423846323310908252163) is 76142171895215724183010623225841289049594164052790603677696
-
42384632331090825216 is a
perfect square number . Itssquare root is 6510348096 -
The
cube root of 42384632331090825216 is 3486605.4664543633
Scales and comparisons
How big is 42384632331090825216?- 42,384,632,331,090,825,216 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,384,632,331,090,825,216 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 42384632331090825216 cubic inches would be around 290550.5 feet tall.
Recreational maths with 42384632331090825216
- 42384632331090825216 backwards is 61252809013323648324
- 42384632331090825216 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42384632331090825216's digits is 72
- More coming soon!
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Numbermatics. (2024). Number 42384632331090825216 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/42384632331090825216/
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The information we have on file for 42384632331090825216 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 42384632331090825216, math, Factors of 42384632331090825216, curriculum, school, college, exams, university, Prime factorization of 42384632331090825216, STEM, science, technology, engineering, physics, economics, calculator, forty-two quintillion, three hundred eighty-four quadrillion, six hundred thirty-two trillion, three hundred thirty-one billion, ninety million, eight hundred twenty-five thousand, two hundred sixteen.