138517334942063011200
138,517,334,942,063,011,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138517334942063011200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138517334942063011200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138517334942063011200:
27 × 32 × 52 × 7 × 5443 × 45377 × 2781887
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 5443 × 45377 × 2781887)See below for interesting mathematical facts about the number 138517334942063011200 from the Numbermatics database.
Names of 138517334942063011200
- Cardinal: 138517334942063011200 can be written as One hundred thirty-eight quintillion, five hundred seventeen quadrillion, three hundred thirty-four trillion, nine hundred forty-two billion, sixty-three million, eleven thousand, two hundred.
Scientific notation
- Scientific notation: 1.385173349420630112 × 1020
Factors of 138517334942063011200
Divisors of 138517334942063011200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 252 280 288 300 315 320 336 350 360 384 400 420 448 450 480 504 525 560 576 600 630 640 672 700 720 800 840 896 900 960 1008 1050 1120 1152 1200 1260 1344 1400 1440 1575 1600 1680 1800 1920 2016 2100 2240 2400 2520 2688 2800 2880 3150 3200 3360 3600 4032 4200 4480 4800 5040 5443 5600 5760 6300 6720 7200 8064 8400 9600 10080 10886 11200 12600 13440 14400 16329 16800 20160 21772 22400 25200 27215 28800 32658 33600 38101 40320 43544 45377 48987 50400 54430 65316 67200 76202 81645 87088 90754 97974 100800 108860 114303 130632 136075 136131 152404 163290 174176 181508 190505 195948 201600 217720 226885 228606 244935 261264 272150 272262 304808 317639 326580 342909 348352 363016 381010 391896 408225 408393 435440 453770 457212 489870 522528 544300 544524 571515 609616 635278 653160 680655 685818 696704 726032 762020 783792 816450 816786 870880 907540 914424 952525 952917 979740 1045056 1088600 1089048 1134425 1143030 1219232 1224675 1270556 1306320 1361310 1371636 1452064 1524040 1567584 1588195 1632900 1633572 1714545 1741760 1815080 1828848 1905050 1905834 1959480 2041965 2090112 2177200 2178096 2268850 2286060 2438464 2449350 2541112 2612640 2722620 2743272 2781887 2857575 2858751 2904128 3048080 3135168 3176390 3265800 3267144 3403275 3429090 3483520 3630160 3657696 3810100 3811668 3918960 4083930 4354400 4356192 4537700 4572120 4764585 4876928 4898700 5082224 5225280 5445240 5486544 5563774 5715150 5717502 5808256 6096160 6270336 6352780 6531600 6534288 6806550 6858180 7260320 7315392 7620200 7623336 7837920 7940975 8167860 8345661 8572725 8708800 8712384 9075400 9144240 9529170 9797400 10164448 10209825 10450560 10890480 10973088 11127548 11430300 11435004 12192320 12705560 13063200 13068576 13613100 13716360 13909435 14293755 14520640 14630784 15240400 15246672 15675840 15881950 16335720 16691322 17145450 17417600 17424768 18150800 18288480 19058340 19473209 19594800 20328896 20419650 21780960 21946176 22255096 22860600 22870008 23822925 24384640 25036983 25411120 26126400 26137152 27226200 27432720 27818870 28587510 29041280 30480800 30493344 31351680 31763900 32671440 33382644 34290900 36301600 36576960 38116680 38946418 39189600 40657792 40839300 41728305 43561920 43892352 44510192 45721200 45740016 47645850 50073966 50822240 52252800 52274304 54452400 54865440 55637740 57175020 58419627 60961600 60986688 63527800 65342880 66765288 68581800 69547175 71468775 72603200 73153920 76233360 77892836 78379200 81678600 83456610 87123840 89020384 91442400 91480032 95291700 97366045 100147932 101644480 108904800 109730880 111275480 114350040 116839254 121923200 121973376 125184915 127055600 130685760 133530576 137163600 139094350 142937550 145206400 152466720 155785672 156758400 163357200 166913220 175258881 178040768 182884800 182960064 190583400 194732090 200295864 203288960 208641525 217809600 219461760 222550960 228700080 233678508 246987011 250369830 254111200 261371520 267061152 274327200 278188700 285875100 292098135 304933440 311571344 326714400 333826440 350517762 356081536 365769600 365920128 381166800 389464180 400591728 417283050 435619200 445101920 457400160 467357016 486830225 493974022 500739660 508222400 534122304 548654400 556377400 571750200 584196270 609866880 623142688 625924575 653428800 667652880 701035524 740961033 762333600 778928360 801183456 834566100 876294405 890203840 914800320 934714032 973660450 987948044 1001479320 1016444800 1068244608 1097308800 1112754800 1143500400 1168392540 1234935055 1246285376 1251849150 1306857600 1335305760 1402071048 1460490675 1481922066 1524667200 1557856720 1602366912 1669132200 1728909077 1752588810 1780407680 1829600640 1869428064 1947320900 1975896088 2002958640 2222883099 2225509600 2287000800 2336785080 2469870110 2492570752 2503698300 2670611520 2804142096 2920981350 2963844132 3049334400 3115713440 3204733824 3338264400 3457818154 3505177620 3704805165 3738856128 3894641800 3951792176 4005917280 4381472025 4445766198 4451019200 4574001600 4673570160 4939740220 5007396600 5186727231 5341223040 5608284192 5841962700 5927688264 6174675275 6231426880 6676528800 6915636308 7010355240 7409610330 7477712256 7789283600 7903584352 8011834560 8644545385 8762944050 8891532396 8902038400 9148003200 9347140320 9879480440 10014793200 10373454462 11114415495 11216568384 11683925400 11855376528 12349350550 12462853760 13353057600 13831272616 14020710480 14819220660 15141810941 15560181693 15578567200 15807168704 16023669120 17289090770 17525888100 17783064792 18524025825 18694280640 19758960880 20029586400 20746908924 22228830990 22433136768 23367850800 23710753056 24698701100 25933636155 26706115200 27662545232 28041420960 29638441320 30283621882 31120363386 31157134400 31614337408 34578181540 35051776200 35566129584 37048051650 37388561280 39517921760 40059172800 41493817848 43222726925 44457661980 45425432823 46735701600 47421506112 49397402200 51867272310 55325090464 55572077475 56082841920 59276882640 60567243764 62240726772 62314268800 69156363080 70103552400 71132259168 74096103300 75709054705 77800908465 79035843520 80118345600 82987635696 86445453850 88915323960 90850865646 93471403200 94843012224 98794804400 103734544620 105992676587 110650180928 111144154950 112165683840 118553765280 121134487528 124481453544 126233686399 129668180775 136276298469 138312726160 140207104800 142264518336 148192206600 151418109410 155601816930 158071687040 165975271392 172890907700 177830647920 181701731292 186942806400 197589608800 207469089240 211985353174 221300361856 222288309900 227127164115 237107530560 242268975056 248962907088 252467372798 259336361550 272552596938 276625452320 280414209600 284529036672 296384413200 302836218820 311203633860 317978029761 331950542784 345781815400 355661295840 363403462584 378545273525 378701059197 389004542325 395179217600 414938178480 423970706348 444576619800 454254328230 474215061120 484537950112 497925814176 504934745596 518672723100 529963382935 545105193876 553250904640 560828419200 592768826400 605672437640 622407267720 631168431995 635956059522 663901085568 681381492345 691563630800 711322591680 726806925168 757090547050 757402118394 778009084650 790358435200 829876356960 847941412696 883635804793 889153239600 908508656460 953934089283 969075900224 995851628352 1009869491192 1037345446200 1059926765870 1090210387752 1106501809280 1135635820575 1136103177591 1185537652800 1211344875280 1244814535440 1262336863990 1271912119044 1362762984690 1383127261600 1422645183360 1453613850336 1514181094100 1514804236788 1556018169300 1589890148805 1659752713920 1695882825392 1767271609586 1778306479200 1817017312920 1893505295985 1907868178566 1938151800448 1991703256704 2019738982384 2074690892400 2119853531740 2180420775504 2271271641150 2272206355182 2371075305600 2422689750560 2489629070880 2524673727980 2543824238088 2649816914675 2650907414379 2725525969380 2766254523200 2907227700672 3028362188200 3029608473576 3112036338600 3155842159975 3179780297610 3319505427840 3391765650784 3406907461725 3534543219172 3556612958400 3634034625840 3787010591970 3815736357132 4039477964768 4149381784800 4239707063480 4360841551008 4418179023965 4542543282300 4544412710364 4769670446415 4845379501120 4979258141760 5049347455960 5087648476176 5299633829350 5301814828758 5451051938760 5532509046400 5680515887955 5814455401344 6056724376400 6059216947152 6224072677200 6311684319950 6359560595220 6783531301568 6813814923450 7069086438344 7113225916800 7268069251680 7574021183940 7631472714264 7949450744025 7952722243137 8078955929536 8298763569600 8479414126960 8721683102016 8836358047930 9085086564600 9088825420728 9467526479925 9539340892830 9690759002240 9958516283520 10098694911920 10175296952352 10599267658700 10603629657516 10902103877520 11361031775910 12113448752800 12118433894304 12448145354400 12623368639900 12719121190440 13254537071895 13567062603136 13627629846900 14138172876688 14536138503360 15148042367880 15262945428528 15898901488050 15905444486274 16157911859072 16597527139200 16958828253920 17443366204032 17672716095860 18170173129200 18177650841456 18935052959850 19078681785660 20197389823840 20350593904704 21198535317400 21207259315032 21804207755040 22090895119825 22722063551820 23848352232075 24226897505600 24236867788608 24896290708800 25246737279800 25438242380880 26509074143790 27255259693800 28276345753376 28402579439775 29072277006720 30296084735760 30525890857056 31797802976100 31810888972548 33917656507840 35345432191720 36340346258400 36355301682912 37870105919700 38157363571320 39763611215685 40394779647680 40701187809408 42397070634800 42414518630064 43608415510080 44181790239650 45444127103640 47696704464150 48453795011200 48473735577216 49792581417600 50493474559600 50876484761760 53018148287580 54510519387600 56552691506752 56805158879550 60592169471520 61051781714112 63595605952200 63621777945096 66272685359475 67835313015680 70690864383440 72680692516800 72710603365824 75740211839400 76314727142640 79527222431370 80789559295360 84794141269600 84829037260128 87216831020160 88363580479300 90888254207280 95393408928300 100986949119200 101752969523520 106036296575160 109021038775200 113105383013504 113610317759100 121184338943040 122103563428224 127191211904400 127243555890192 132545370718950 141381728766880 145361385033600 145421206731648 151480423678800 152629454285280 159054444862740 169588282539200 169658074520256 176727160958600 181776508414560 190786817856600 198818056078425 201973898238400 203505939047040 212072593150320 218042077550400 227220635518200 242368677886080 254382423808800 254487111780384 265090741437900 282763457533760 302960847357600 305258908570560 318108889725480 339176565078400 339316149040512 353454321917200 363553016829120 381573635713200 397636112156850 403947796476800 424145186300640 436084155100800 454441271036400 508764847617600 508974223560768 530181482875800 565526915067520 605921694715200 610517817141120 636217779450960 687089955069757 706908643834400 727106033658240 763147271426400 795272224313700 848290372601280 908882542072800 1017529695235200 1017948447121536 1060362965751600 1211843389430400 1272435558901920 1374179910139514 1413817287668800 1526294542852800 1590544448627400 1696580745202560 1817765084145600 2061269865209271 2120725931503200 2544871117803840 2748359820279028 2827634575337600 3052589085705600 3181088897254800 3435449775348785 3635530168291200 4122539730418542 4241451863006400 4809629685488299 5089742235607680 5496719640558056 6183809595627813 6362177794509600 6870899550697570 8245079460837084 8482903726012800 9619259370976598 10306349326046355 10993439281116112 12367619191255626 12724355589019200 13741799101395140 14428889056464897 16490158921674168 17177248876743925 19238518741953196 20612698652092710 21986878562232224 24048148427441495 24735238382511252 25448711178038400 27483598202790280 28857778112929794 30919047978139065 32980317843348336 34354497753487850 38477037483906392 41225397304185420 43286667169394691 43973757124464448 48096296854882990 49470476765022504 51531746630231775 54967196405580560 57715556225859588 61838095956278130 65960635686696672 68708995506975700 72144445282324485 76954074967812784 82450794608370840 86573334338789382 87947514248928896 96192593709765980 98940953530045008 103063493260463550 109934392811161120 115431112451719176 120240742137207475 123676191912556260 131921271373393344 137417991013951400 144288890564648970 153908149935625568 154595239890695325 164901589216741680 173146668677578764 192385187419531960 197881907060090016 206126986520927100 216433335846973455 219868785622322240 230862224903438352 240481484274414950 247352383825112520 263842542746786688 274835982027902800 288577781129297940 307816299871251136 309190479781390650 329803178433483360 346293337355157528 360722226411622425 384770374839063920 395763814120180032 412253973041854200 432866671693946910 439737571244644480 461724449806876704 480962968548829900 494704767650225040 549671964055805600 577155562258595880 615632599742502272 618380959562781300 659606356866966720 692586674710315056 721444452823244850 769540749678127840 791527628240360064 824507946083708400 865733343387893820 923448899613753408 961925937097659800 989409535300450080 1082166679234867275 1099343928111611200 1154311124517191760 1236761919125562600 1319212713733933440 1385173349420630112 1442888905646489700 1539081499356255680 1649015892167416800 1731466686775787640 1846897799227506816 1923851874195319600 1978819070600900160 2164333358469734550 2198687856223222400 2308622249034383520 2473523838251125200 2770346698841260224 2885777811292979400 3078162998712511360 3298031784334833600 3462933373551575280 3847703748390639200 3957638141201800320 4328666716939469100 4617244498068767040 4947047676502250400 5540693397682520448 5771555622585958800 6596063568669667200 6925866747103150560 7695407496781278400 8657333433878938200 9234488996137534080 9894095353004500800 11543111245171917600 13851733494206301120 15390814993562556800 17314666867757876400 19788190706009001600 23086222490343835200 27703466988412602240 34629333735515752800 46172444980687670400 69258667471031505600 138517334942063011200
- Sum of all divisors σ(n): 564986826867609169920
- Sum of proper divisors (its aliquot sum) s(n): 426469491925546158720
- 138517334942063011200 is an abundant number, because the sum of its proper divisors (426469491925546158720) is greater than itself. Its abundance is 287952156983483147520
Bases of 138517334942063011200
- Binary: 11110000010010100000110111000111011110001110111100000100101100000002
- Hexadecimal: 0x782506E3BC7782580
- Base-36: T8E157V4ZI3K0
Squares and roots of 138517334942063011200
- 138517334942063011200 squared (1385173349420630112002) is 19187052079451670430354998671211325440000
- 138517334942063011200 cubed (1385173349420630112003) is 2657739319440213627878869379999965283728516955549564928000000
-
The
square root of 138517334942063011200 is 11769338764.0114689325 -
The
cube root of 138517334942063011200 is 5174098.7010972939
Scales and comparisons
How big is 138517334942063011200?- 138,517,334,942,063,011,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,517,334,942,063,011,200 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 138517334942063011200 cubic inches would be around 431174.9 feet tall.
Recreational maths with 138517334942063011200
- 138517334942063011200 backwards is 002110360249433715831
- 138517334942063011200 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138517334942063011200's digits is 63
- More coming soon!
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"Number 138517334942063011200 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138517334942063011200 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138517334942063011200/
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The information we have on file for 138517334942063011200 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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