138131994582945603200
138,131,994,582,945,603,200 is an even composite number composed of six prime numbers multiplied together.
138131994582945603200 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 138131994582945603200:
27 × 52 × 232 × 109 × 2932 × 29532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 23 × 109 × 293 × 293 × 2953 × 2953)See below for interesting mathematical facts about the number 138131994582945603200 from the Numbermatics database.
Names of 138131994582945603200
- Cardinal: 138131994582945603200 can be written as One hundred thirty-eight quintillion, one hundred thirty-one quadrillion, nine hundred ninety-four trillion, five hundred eighty-two billion, nine hundred forty-five million, six hundred three thousand, two hundred.
Scientific notation
- Scientific notation: 1.381319945829456032 × 1020
Factors of 138131994582945603200
Divisors of 138131994582945603200
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 109 115 128 160 184 200 218 230 293 320 368 400 436 460 529 545 575 586 640 736 800 872 920 1058 1090 1150 1172 1465 1472 1600 1744 1840 2116 2180 2300 2344 2507 2645 2725 2930 2944 2953 3200 3488 3680 4232 4360 4600 4688 5014 5290 5450 5860 5906 6739 6976 7325 7360 8464 8720 9200 9376 10028 10580 10900 11720 11812 12535 13225 13478 13952 14650 14720 14765 16928 17440 18400 18752 20056 21160 21800 23440 23624 25070 26450 26956 29300 29530 31937 33695 33856 34880 36800 37504 40112 42320 43600 46880 47248 50140 52900 53912 57661 58600 59060 62675 63874 67390 67712 67919 69760 73600 73825 80224 84640 85849 87200 93760 94496 100280 105800 107824 115322 117200 118120 125350 127748 134780 135838 147650 154997 159685 160448 168475 169280 171698 174400 187520 188992 200560 211600 215648 230644 234400 236240 250700 255496 269560 271676 288305 295300 309994 319370 320896 321877 336950 338560 339595 343396 348800 377984 401120 423200 429245 431296 461288 468800 472480 501400 510992 539120 543352 576610 590600 619988 638740 643754 673900 679190 686792 734551 774985 798425 802240 846400 858490 862592 865229 922576 937600 944960 1002800 1021984 1078240 1086704 1153220 1181200 1239976 1277480 1287508 1347800 1358380 1373584 1441525 1469102 1549970 1562137 1596850 1604480 1609385 1692800 1697975 1716980 1730458 1845152 1889920 1974527 2005600 2043968 2146225 2156480 2173408 2306440 2362400 2479952 2554960 2575016 2695600 2716760 2747168 2883050 2938204 3099940 3124274 3193700 3218770 3395950 3433960 3460916 3672755 3690304 3874925 3949054 4011200 4087936 4292450 4312960 4326145 4346816 4612880 4724800 4959904 5109920 5150032 5391200 5433520 5494336 5766100 5876408 6199880 6248548 6387400 6437540 6791900 6867920 6921832 7345510 7380608 7403171 7749850 7810685 7898108 8022400 8046925 8584900 8652290 8693632 8720209 9225760 9357541 9449600 9872635 9919808 10219840 10300064 10782400 10867040 10988672 11532200 11752816 12399760 12497096 12774800 12875080 13583800 13735840 13843664 14691020 14806342 15499700 15621370 15796216 16093850 16894673 17169800 17304580 17440418 18363775 18451520 18715082 19745270 19839616 19900267 20439680 20600128 21564800 21630725 21734080 23064400 23505632 24799520 24994192 25549600 25750160 27167600 27471680 27687328 29382040 29612684 30999400 31242740 31592432 32187700 33789346 34339600 34609160 34880836 36727550 36903040 37015855 37430164 39053425 39490540 39800534 41200256 43261450 43468160 43601045 45414121 46128800 46787705 47011264 49363175 49599040 49988384 51099200 51500320 54335200 54943360 55374656 58764080 59225368 61998800 62485480 63184864 64375400 67578692 68679200 69218320 69761672 73455100 74031710 74860328 78106850 78981080 79601068 84473365 86522900 87202090 90828242 92257600 93575410 94022528 94309961 98726350 99198080 99501335 99976768 102198400 103000640 108670400 110749312 117528160 118450736 123997600 124970960 126369728 128750800 135157384 137358400 138436640 139523344 146910200 148063420 149720656 156213700 157962160 159202136 168946730 170272933 173045800 174404180 181656484 184515200 185079275 187150820 188619922 197452700 199002670 199953536 200564807 206001280 215223443 217340800 218005225 227070605 233938525 235056320 236901472 247995200 249941920 252739456 253512097 257501600 270314768 274716800 276873280 279046688 293820400 296126840 299441312 312427400 315924320 318404272 337893460 340545866 346091600 348808360 363312968 370158550 374301640 377239844 394905400 398005340 401129614 422366825 430446886 436010450 454141210 457706141 467877050 470112640 471549805 473802944 495990400 497506675 499883840 507024194 515003200 540629536 553746560 558093376 587640800 592253680 598882624 624854800 631848640 636808544 675786920 681091732 692183200 697616720 726625936 740317100 748603280 754479688 789810800 796010680 802259228 844733650 851364665 860893772 872020900 908282420 915412282 935754100 943099610 947605888 950502781 995013350 999767680 1002824035 1014048388 1030006400 1076117215 1081259072 1116186752 1135353025 1175281600 1184507360 1197765248 1249709600 1263697280 1267560485 1273617088 1351573840 1362183464 1384366400 1395233440 1453251872 1480634200 1497206560 1508959376 1579621600 1592021360 1604518456 1689467300 1702729330 1721787544 1744041800 1816564840 1830824564 1871508200 1886199220 1901005562 1990026700 2005648070 2028096776 2152234430 2162518144 2169129103 2270706050 2288530705 2350563200 2357749025 2369014720 2499419200 2535120970 2547234176 2555021237 2703147680 2724366928 2768732800 2790466880 2906503744 2961268400 2994413120 3017918752 3159243200 3184042720 3209036912 3378934600 3405458660 3443575088 3488083600 3633129680 3661649128 3743016400 3772398440 3802011124 3980053400 4011296140 4056193552 4256823325 4304468860 4338258206 4541412100 4577061410 4612990561 4715498050 4738029440 4752513905 4950139189 4998838400 5014120175 5070241940 5110042474 5380586075 5406295360 5448733856 5580933760 5813007488 5830778231 5922536800 5988826240 6035837504 6318486400 6337802425 6368085440 6418073824 6757869200 6810917320 6887150176 6976167200 7266259360 7323298256 7486032800 7544796880 7604022248 7960106800 8022592280 8112387104 8513646650 8608937720 8676516412 9082824200 9154122820 9225981122 9430996100 9505027810 9900278378 10028240350 10140483880 10220084948 10761172150 10812590720 10845645515 10897467712 11442653525 11661556462 11845073600 12071675008 12675604850 12736170880 12775106185 12836147648 13515738400 13621834640 13774300352 13952334400 14532518720 14646596512 14972065600 15089593760 15208044496 15920213600 16045184560 16224774208 17027293300 17217875440 17353032824 18165648400 18308245640 18451962244 18861992200 19010055620 19800556756 20056480700 20280967760 20440169896 21522344300 21691291030 21794935424 21861563963 22885307050 23064952805 23323112924 23690147200 23762569525 24750695945 25351209700 25550212370 25672295296 27031476800 27243669280 27548600704 27632818573 27904668800 29065037440 29153891155 29293193024 29944131200 30179187520 30416088992 31840427200 32090369120 32449548416 34054586600 34435750880 34706065648 36331296800 36616491280 36903924488 37723984400 38020111240 39601113512 40112961400 40561935520 40880339792 43044688600 43382582060 43723127926 45770614100 46129905610 46646225848 47525139050 49501391890 49889969369 50702419400 51100424740 54062953600 54228227575 54487338560 55265637146 58307782310 58586386048 58765488451 60358375040 60832177984 63680854400 63875530925 64180738240 68109173200 68871501760 69412131296 72662593600 73232982560 73807848976 75447968800 76040222480 79202227024 80225922800 81123871040 81760679584 86089377200 86765164120 87446255852 91541228200 92259811220 93292451696 95050278100 99002783780 99779938738 101404838800 102200849480 108456455150 108974677120 109307819815 110531274292 115324764025 116615564620 117530976902 121664355968 123753479725 127751061850 128361476480 134107899313 136218346400 137743003520 138164092865 138824262592 145325187200 145769455775 146465965120 147615697952 150895937600 152080444960 158404454048 160451845600 162247742080 163521359168 172178754400 173530328240 174892511704 183082456400 184519622440 186584903392 190100556200 198005567560 199559877476 202809677600 204401698960 216912910300 218615639630 221062548584 230649528050 233231129240 235061953804 247506959450 249449846845 255502123700 268215798626 272436692800 276328185730 277648525184 278497314833 291538911550 292931930240 293827442255 295231395904 301791875200 304160889920 316808908096 320903691200 327042718336 344357508800 347060656480 349785023408 366164912800 369039244880 373169806784 380201112400 396011135120 399119754952 405619355200 408803397920 433825820600 437231279260 442125097168 461299056100 466462258480 470123907608 495013918900 498899693690 502815971149 511004247400 536431597252 544873385600 546539099075 552656371460 556994629666 583077823100 587654884510 590462791808 608321779840 633617816192 635554827179 641807382400 670539496565 688715017600 690820464325 694121312960 699570046816 732329825600 738078489760 746339613568 748621222441 760402224800 792022270240 798239509904 811238710400 817606795840 867651641200 874462558520 884250194336 922598112200 932924516960 940247815216 990027837800 997799387380 1005631942298 1022008494800 1072863194504 1093078198150 1105312742920 1113989259332 1166155646200 1175309769020 1247249234225 1271109654358 1341078993130 1351606234373 1381640928650 1388242625920 1392486574165 1399140093632 1464659651200 1469137211275 1476156979520 1497242444882 1520804449600 1584044540480 1596479019808 1635213591680 1735303282400 1748925117040 1768500388672 1845196224400 1865849033920 1880495630432 1980055675600 1995598774760 2011263884596 2044016989600 2145726389008 2186156396300 2210625485840 2227978518664 2332311292400 2350619538040 2494498468450 2514079855745 2542219308716 2682157986260 2703212468746 2763281857300 2784973148330 2798280187264 2938274422550 2952313959040 2994484889764 3041608899200 3168089080960 3177774135895 3192958039616 3352697482825 3470606564800 3497850234080 3537000777344 3690392448800 3731698067840 3743106112205 3760991260864 3960111351200 3991197549520 4022527769192 4088033979200 4291452778016 4372312792600 4421250971680 4455957037328 4664622584800 4701239076080 4988996936900 5028159711490 5084438617432 5364315972520 5406424937492 5526563714600 5569946296660 5876548845100 5988969779528 6355548271790 6385916079232 6405438241159 6705394965650 6758031171865 6941213129600 6962432870825 6995700468160 7380784897600 7486212224410 7521982521728 7920222702400 7982395099040 8045055538384 8176067958400 8582905556032 8744625585200 8842501943360 8911914074656 9329245169600 9402478152160 9977993873800 10056319422980 10168877234864 10728631945040 10812849874984 11053127429200 11139892593320 11753097690200 11977939559056 12570399278725 12711096543580 12810876482318 13410789931300 13516062343730 13924865741650 13991400936320 14617761025117 14761569795200 14972424448820 15840445404800 15888870679475 15964790198080 16090111076768 17165811112064 17218288116143 17489251170400 17685003886720 17823828149312 18658490339200 18715530561025 18804956304320 19955987747600 20112638845960 20337754469728 21457263890080 21625699749968 22106254858400 22279785186640 23506195380400 23955879118112 25140798557450 25422193087160 25621752964636 26821579862600 27032124687460 27849731483300 29235522050234 29944848897640 31777741358950 31929580396160 32027191205795 32180222153536 33790155859325 34436576232286 34978502340800 35647656298624 37431061122050 37609912608640 39911975495200 40225277691920 40675508939456 42914527780160 43251399499936 44212509716800 44559570373280 47012390760800 47911758236224 50281597114900 50844386174320 51243505929272 53643159725200 54064249374920 55699462966600 58471044100468 59889697795280 63555482717900 64054382411590 64360444307072 67580311718650 68873152464572 69957004681600 73088805125585 74862122244100 79823950990400 80450555383840 81351017878912 81599713246069 85829055560320 86091440580715 86502798999872 88425019433600 89119140746560 94024781521600 95823516472448 100563194229800 101688772348640 102487011858544 107286319450400 108128498749840 111398925933200 116942088200936 119779395590560 127110965435800 128108764823180 135160623437300 137746304929144 146177610251170 147325079546657 149724244488200 159647901980800 160135956028975 160901110767680 163199426492138 172182881161430 173005597999744 178238281493120 188049563043200 201126388459600 203377544697280 204974023717088 214572638900800 216256997499680 222797851866400 233884176401872 239558791181120 254221930871600 256217529646360 270321246874600 275492609858288 292355220502340 294650159093314 299448488976400 320271912057950 321802221535360 326398852984276 344365762322860 365444025627925 396020626671289 402252776919200 406755089394560 407998566230345 409948047434176 429145277801600 430457202903575 432513994999360 445595703732800 467768352803744 479117582362240 508443861743200 512435059292720 540642493749200 550985219716576 584710441004680 589300318186628 598896977952800 640543824115900 652797705968552 688731524645720 730888051255850 736625397733285 792041253342578 804505553838400 815997132460690 819896094868352 860914405807150 865027989998720 891191407465600 935536705607488 1016887723486400 1024870118585440 1081284987498400 1101970439433152 1169420882009360 1178600636373256 1197793955905600 1281087648231800 1305595411937104 1377463049291440 1461776102511700 1473250795466570 1584082506685156 1609011107676800 1631994264921380 1721828811614300 1871073411214976 1876793404659587 1980103133356445 2033775446972800 2039992831151725 2049740237170880 2162569974996800 2203940878866304 2338841764018720 2357201272746512 2395587911811200 2562175296463600 2611190823874208 2754926098582880 2923552205023400 2946501590933140 3168165013370312 3263988529842760 3443657623228600 3683126988666425 3753586809319174 3960206266712890 4079985662303450 4099480474341760 4325139949993600 4677683528037440 4714402545493024 5124350592927200 5222381647748416 5509852197165760 5847104410046800 5893003181866280 6336330026740624 6527977059685520 6887315246457200 7366253977332850 7507173618638348 7920412533425780 8159971324606900 9355367056074880 9383967023297935 9428805090986048 9900515666782225 10248701185854400 10444763295496832 11019704394331520 11694208820093600 11786006363732560 12672660053481248 13055954119371040 13774630492914400 14732507954665700 15014347237276696 15840825066851560 16319942649213800 18767934046595870 18857610181972096 19801031333564450 20497402371708800 23388417640187200 23572012727465120 25345320106962496 26111908238742080 27549260985828800 29465015909331400 30028694474553392 31681650133703120 32639885298427600 37535868093191740 39602062667128900 43166248307170501 46776835280374400 46919835116489675 47144025454930240 50690640213924992 52223816477484160 55098521971657600 58930031818662800 60057388949106784 63363300267406240 65279770596855200 75071736186383480 79204125334257800 86332496614341002 93839670232979350 94288050909860480 117860063637325600 120114777898213568 126726600534812480 130559541193710400 150143472372766960 158408250668515600 172664993228682004 187679340465958700 215831241535852505 235720127274651200 240229555796427136 253453201069624960 261119082387420800 300286944745533920 316816501337031200 345329986457364008 375358680931917400 431662483071705010 471440254549302400 600573889491067840 633633002674062400 690659972914728016 750717361863834800 863324966143410020 1079156207679262525 1201147778982135680 1267266005348124800 1381319945829456032 1501434723727669600 1726649932286820040 2158312415358525050 2762639891658912064 3002869447455339200 3453299864573640080 4316624830717050100 5525279783317824128 6005738894910678400 6906599729147280160 8633249661434100200 13813199458294560320 17266499322868200400 27626398916589120640 34532998645736400800 69065997291472801600 138131994582945603200
- Sum of all divisors σ(n): 361338028613730595350
- Sum of proper divisors (its aliquot sum) s(n): 223206034030784992150
- 138131994582945603200 is an abundant number, because the sum of its proper divisors (223206034030784992150) is greater than itself. Its abundance is 85074039447839388950
Bases of 138131994582945603200
- Binary: 11101111100111101110110110100110111111100001010011110011110100000002
- Hexadecimal: 0x77CF76D37F0A79E80
- Base-36: T5GMXGLZM8HVK
Squares and roots of 138131994582945603200
- 138131994582945603200 squared (1381319945829456032002) is 19080447927462913466923137890211850240000
- 138131994582945603200 cubed (1381319945829456032003) is 2635620329756482824636604018116827821526900973944864768000000
-
The
square root of 138131994582945603200 is 11752956844.2560701509 -
The
cube root of 138131994582945603200 is 5169296.3160123741
Scales and comparisons
How big is 138131994582945603200?- 138,131,994,582,945,603,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,131,994,582,945,603,200 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 138131994582945603200 cubic inches would be around 430774.7 feet tall.
Recreational maths with 138131994582945603200
- 138131994582945603200 backwards is 002306549285499131831
- The number of decimal digits it has is: 21
- The sum of 138131994582945603200's digits is 83
- More coming soon!
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"Number 138131994582945603200 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138131994582945603200 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138131994582945603200/
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The information we have on file for 138131994582945603200 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!
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