42538042824589312
42,538,042,824,589,312 is an even composite number composed of six prime numbers multiplied together.
42538042824589312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 42538042824589312:
226 × 7 × 11 × 13 × 17 × 1932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 17 × 193 × 193)See below for interesting mathematical facts about the number 42538042824589312 from the Numbermatics database.
Names of 42538042824589312
- Cardinal: 42538042824589312 can be written as Forty-two quadrillion, five hundred thirty-eight trillion, forty-two billion, eight hundred twenty-four million, five hundred eighty-nine thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.2538042824589312 × 1016
Factors of 42538042824589312
Divisors of 42538042824589312
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 44 52 56 64 68 77 88 91 104 112 119 128 136 143 154 176 182 187 193 208 221 224 238 256 272 286 308 352 364 374 386 416 442 448 476 512 544 572 616 704 728 748 772 832 884 896 952 1001 1024 1088 1144 1232 1309 1351 1408 1456 1496 1544 1547 1664 1768 1792 1904 2002 2048 2123 2176 2288 2431 2464 2509 2618 2702 2816 2912 2992 3088 3094 3281 3328 3536 3584 3808 4004 4096 4246 4352 4576 4862 4928 5018 5236 5404 5632 5824 5984 6176 6188 6562 6656 7072 7168 7616 8008 8192 8492 8704 9152 9724 9856 10036 10472 10808 11264 11648 11968 12352 12376 13124 13312 14144 14336 14861 15232 16016 16384 16984 17017 17408 17563 18304 19448 19712 20072 20944 21616 22528 22967 23296 23936 24704 24752 26248 26624 27599 28288 28672 29722 30464 32032 32768 33968 34034 34816 35126 36091 36608 37249 38896 39424 40144 41888 42653 43232 45056 45934 46592 47872 49408 49504 52496 53248 55198 56576 57344 59444 60928 64064 65536 67936 68068 69632 70252 72182 73216 74498 77792 78848 80288 83776 85306 86464 90112 91868 93184 95744 98816 99008 104992 106496 110396 113152 114688 118888 121856 128128 131072 135872 136136 139264 140504 144364 146432 148996 155584 157696 160576 167552 170612 172928 180224 183736 186368 191488 193193 197632 198016 209984 212992 220792 226304 229376 237776 243712 252637 256256 260743 262144 271744 272272 278528 281008 288728 292864 297992 298571 311168 315392 321152 335104 341224 345856 360448 367472 372736 382976 386386 395264 396032 409739 419968 425984 441584 452608 458752 469183 475552 484237 487424 505274 512512 521486 524288 543488 544544 557056 562016 577456 585728 595984 597142 622336 630784 633233 642304 670208 682448 691712 720896 734944 745472 765952 772772 790528 792064 819478 839936 851968 883168 905216 917504 938366 951104 968474 974848 1010548 1025024 1042972 1048576 1086976 1089088 1114112 1124032 1154912 1171456 1191968 1194284 1244672 1261568 1266466 1284608 1340416 1364896 1383424 1441792 1469888 1490944 1531904 1545544 1581056 1584128 1638956 1679872 1703936 1766336 1810432 1835008 1876732 1902208 1936948 1949696 2021096 2050048 2085944 2097152 2173952 2178176 2228224 2248064 2309824 2342912 2383936 2388568 2489344 2523136 2532932 2569216 2680832 2729792 2766848 2868173 2883584 2939776 2981888 3063808 3091088 3162112 3168256 3277912 3284281 3359744 3389659 3407872 3532672 3620864 3670016 3753464 3804416 3873896 3899392 4042192 4100096 4171888 4194304 4347904 4356352 4432631 4456448 4496128 4619648 4685824 4767872 4777136 4978688 5046272 5065864 5138432 5326607 5361664 5459584 5533696 5736346 5767168 5879552 5963776 6127616 6182176 6324224 6336512 6555824 6568562 6719488 6779318 6815744 6965563 7065344 7241728 7340032 7506928 7608832 7747792 7798784 8084384 8200192 8232029 8343776 8388608 8695808 8712704 8865262 8912896 8992256 9239296 9371648 9535744 9554272 9957376 10092544 10131728 10276864 10653214 10723328 10919168 11067392 11472692 11534336 11759104 11927552 12255232 12364352 12648448 12673024 13111648 13137124 13438976 13558636 13631488 13931126 14130688 14483456 14680064 15013856 15217664 15495584 15597568 16168768 16400384 16464058 16687552 16777216 17391616 17425408 17730524 17825792 17984512 18478592 18743296 19071488 19108544 19914752 20185088 20263456 20553728 21306428 21446656 21838336 22134784 22945384 23068672 23518208 23855104 24510464 24728704 25296896 25346048 26223296 26274248 26877952 27117272 27262976 27862252 28261376 28966912 29360128 30027712 30435328 30991168 31195136 32337536 32800768 32928116 33375104 33554432 34783232 34850816 35461048 35651584 35969024 36957184 37286249 37486592 38142976 38217088 39829504 40370176 40526912 41107456 42612856 42893312 43676672 44269568 45890768 46137344 47036416 47710208 48758941 49020928 49457408 50593792 50692096 52446592 52548496 53755904 54234544 54525952 55724504 56522752 57624203 57933824 58720256 60055424 60870656 61982336 62390272 64675072 65601536 65856232 66750208 67108864 69566464 69701632 70922096 71303168 71938048 73914368 74572498 74973184 76285952 76434176 79659008 80740352 81053824 82214912 85225712 85786624 87353344 88539136 90552319 91781536 92274688 94072832 95420416 97517882 98041856 98914816 101187584 101384192 104893184 105096992 107511808 108469088 109051904 111449008 113045504 115248406 115867648 117440512 120110848 121741312 123964672 124780544 129350144 131203072 131712464 133500416 139132928 139403264 141844192 142606336 143876096 147828736 149144996 149946368 152571904 152868352 159318016 161480704 162107648 164429824 170451424 171573248 174706688 177078272 181104638 183563072 184549376 188145664 190840832 195035764 196083712 197829632 202375168 202768384 209786368 210193984 215023616 216938176 218103808 222898016 226091008 230496812 231735296 234881024 240221696 243482624 247929344 249561088 258700288 262406144 263424928 267000832 278265856 278806528 283688384 285212672 287752192 295657472 298289992 299892736 305143808 305736704 318636032 322961408 324215296 328859648 340902848 343146496 349413376 354156544 362209276 367126144 369098752 376291328 381681664 390071528 392167424 395659264 404750336 405536768 419572736 420387968 430047232 433876352 436207616 445796032 452182016 460993624 463470592 469762048 480443392 486965248 495858688 499122176 517400576 524812288 526849856 534001664 556531712 557613056 567376768 570425344 575504384 591314944 596579984 599785472 610287616 611473408 633866233 637272064 645922816 648430592 657719296 681805696 686292992 698826752 708313088 724418552 734252288 738197504 752582656 763363328 780143056 784334848 791318528 809500672 811073536 839145472 840775936 860094464 867752704 872415232 891592064 904364032 921987248 926941184 960886784 973930496 991717376 998244352 1034801152 1049624576 1053699712 1068003328 1113063424 1115226112 1134753536 1140850688 1151008768 1182629888 1193159968 1199570944 1220575232 1222946816 1267732466 1274544128 1291845632 1296861184 1315438592 1363611392 1372585984 1397653504 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6241144448 6274678784 6330548224 6476005376 6488588288 6713163776 6726207488 6880755712 6942021632 7132736512 7234912256 7375897984 7415529472 7687094272 7791443968 7933739008 7985954816 8278409216 8396996608 8429597696 8544026624 8904507392 8921808896 9078028288 9208070144 9461039104 9545279744 9596567552 9764601856 9783574528 10141859728 10196353024 10374889472 10523508736 10908891136 10980687872 11181228032 11333009408 11590696832 11748036608 12041322496 12482288896 12549357568 12661096448 12952010752 12977176576 13426327552 13452414976 13761511424 13884043264 14265473024 14469824512 14751795968 14831058944 15374188544 15582887936 15867478016 16556818432 16793993216 16859195392 17088053248 17809014784 17843617792 18156056576 18416140288 18922078208 19090559488 19529203712 19567149056 20283719456 20392706048 20749778944 21047017472 21817782272 21961375744 22362456064 22666018816 23181393664 23496073216 24082644992 24964577792 25322192896 25954353152 26852655104 26904829952 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136704425984 142472118272 142748942336 145248452608 147329122304 151376625664 152724475904 156233629696 156537192448 162269755648 163141648384 165998231552 168376139776 174542258176 178899648512 185451149312 187968585728 192661159936 199716622336 202577543168 214821240832 215238639616 220184182784 222144692224 228247568384 231517192192 236028735488 245987016704 249326206976 253879648256 264909094912 269747126272 273408851968 285497884672 290496905216 294658244608 302753251328 305448951808 312467259392 313074384896 324539511296 331996463104 349084516352 357799297024 370902298624 375937171456 385322319872 399433244672 405155086336 429642481664 430477279232 444289384448 456495136768 463034384384 472057470976 491974033408 498652413952 507759296512 529818189824 539494252544 546817703936 570995769344 580993810432 589316489216 605506502656 610897903616 624934518784 626148769792 649079022592 663992926208 698169032704 715598594048 741804597248 751874342912 770644639744 798866489344 810310172672 859284963328 860954558464 888578768896 912990273536 926068768768 944114941952 983948066816 997304827904 1015518593024 1059636379648 1078988505088 1093635407872 1141991538688 1161987620864 1178632978432 1211013005312 1221795807232 1249869037568 1252297539584 1298158045184 1327985852416 1396338065408 1431197188096 1483609194496 1503748685824 1541289279488 1597732978688 1620620345344 1718569926656 1721909116928 1777157537792 1825980547072 1852137537536 1888229883904 1967896133632 2031037186048 2119272759296 2157977010176 2187270815744 2323975241728 2422026010624 2443591614464 2499738075136 2504595079168 2596316090368 2655971704832 2792676130816 2862394376192 2967218388992 3007497371648 3195465957376 3241240690688 3437139853312 3443818233856 3554315075584 3651961094144 3776459767808 3935792267264 4062074372096 4238545518592 4315954020352 4374541631488 4647950483456 4887183228928 5009190158336 5192632180736 5311943409664 5585352261632 5934436777984 6014994743296 6390931914752 6482481381376 6874279706624 6887636467712 7108630151168 7303922188288 7552919535616 7871584534528 8124148744192 8477091037184 8631908040704 8749083262976 9295900966912 9774366457856 10018380316672 10385264361472 10623886819328 11170704523264 11868873555968 12029989486592 12781863829504 12964962762752 13748559413248 13775272935424 14217260302336 14607844376576 15105839071232 15743169069056 16248297488384 16954182074368 17263816081408 17498166525952 18591801933824 19548732915712 20036760633344 20770528722944 21247773638656 22341409046528 23737747111936 24059978973184 25563727659008 27497118826496 27550545870848 28434520604672 29215688753152 30211678142464 31486338138112 32496594976768 34527632162816 37183603867648 39097465831424 41541057445888 42495547277312 44682818093056 47475494223872 48119957946368 51127455318016 55101091741696 56869041209344 58431377506304 60423356284928 69055264325632 74367207735296 78194931662848 83082114891776 89365636186112 94950988447744 96239915892736 102254910636032 110202183483392 113738082418688 116862755012608 120846712569856 138110528651264 148734415470592 156389863325696 166164229783552 178731272372224 189901976895488 192479831785472 204509821272064 220404366966784 227476164837376 233725510025216 241693425139712 276221057302528 297468830941184 312779726651392 332328459567104 357462544744448 379803953790976 409019642544128 467451020050432 483386850279424 552442114605056 625559453302784 664656919134208 759607907581952 818039285088256 966773700558848 1251118906605568 1329313838268416 1519215815163904 1636078570176512 1933547401117696 2502237813211136 2658627676536832 3038431630327808 3272157140353024 3867094802235392 5317255353073664 6076863260655616 10634510706147328 21269021412294656 42538042824589312
- Sum of all divisors σ(n): 121577243205059712
- Sum of proper divisors (its aliquot sum) s(n): 79039200380470400
- 42538042824589312 is an abundant number, because the sum of its proper divisors (79039200380470400) is greater than itself. Its abundance is 36501157555881088
Bases of 42538042824589312
- Binary: 100101110010000000011111111001000000000000000000000000002
- Hexadecimal: 0x97201FE4000000
- Base-36: BMUH73I1I4G
Squares and roots of 42538042824589312
- 42538042824589312 squared (425380428245893122) is 1809485087346594253161741464633344
- 42538042824589312 cubed (425380428245893123) is 76971954136005158147340851973508920716329461219328
-
The
square root of 42538042824589312 is 206247528.0447969685 -
The
cube root of 42538042824589312 is 349080.6972191161
Scales and comparisons
How big is 42538042824589312?- 42,538,042,824,589,312 seconds is equal to 1,352,578,183 years, 5 days, 22 hours, 21 minutes, 52 seconds.
-
To count from 1 to 42,538,042,824,589,312 would take you about four billion, fifty-seven million, seven hundred thirty-four thousand, five hundred forty-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 42538042824589312 cubic inches would be around 29090.1 feet tall.
Recreational maths with 42538042824589312
- 42538042824589312 backwards is 21398542824083524
- The number of decimal digits it has is: 17
- The sum of 42538042824589312's digits is 70
- More coming soon!
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"Number 42538042824589312 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 42538042824589312 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/42538042824589312/
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The information we have on file for 42538042824589312 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 42538042824589312, math, Factors of 42538042824589312, curriculum, school, college, exams, university, Prime factorization of 42538042824589312, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, five hundred thirty-eight trillion, forty-two billion, eight hundred twenty-four million, five hundred eighty-nine thousand, three hundred twelve.