137340431039062752800768
137,340,431,039,062,752,800,768 is an even composite number composed of four prime numbers multiplied together.
What does the number 137340431039062752800768 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 624 divisors.
137340431039062752800768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 137340431039062752800768:
212 × 73 × 1013 × 45612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 101 × 101 × 101 × 4561 × 4561)See below for interesting mathematical facts about the number 137340431039062752800768 from the Numbermatics database.
Names of 137340431039062752800768
- Cardinal: 137340431039062752800768 can be written as One hundred thirty-seven sextillion, three hundred forty quintillion, four hundred thirty-one quadrillion, thirty-nine trillion, sixty-two billion, seven hundred fifty-two million, eight hundred thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37340431039062752800768 × 1023
Factors of 137340431039062752800768
Divisors of 137340431039062752800768
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 64 98 101 112 128 196 202 224 256 343 392 404 448 512 686 707 784 808 896 1024 1372 1414 1568 1616 1792 2048 2744 2828 3136 3232 3584 4096 4561 4949 5488 5656 6272 6464 7168 9122 9898 10201 10976 11312 12544 12928 14336 18244 19796 20402 21952 22624 25088 25856 28672 31927 34643 36488 39592 40804 43904 45248 50176 51712 63854 69286 71407 72976 79184 81608 87808 90496 100352 103424 127708 138572 142814 145952 158368 163216 175616 180992 200704 206848 223489 255416 277144 285628 291904 316736 326432 351232 361984 413696 446978 460661 499849 510832 554288 571256 583808 633472 652864 702464 723968 893956 921322 999698 1021664 1030301 1108576 1142512 1167616 1266944 1305728 1404928 1447936 1564423 1787912 1842644 1999396 2043328 2060602 2217152 2285024 2335232 2533888 2611456 2895872 3128846 3224627 3498943 3575824 3685288 3998792 4086656 4121204 4434304 4570048 4670464 5067776 5222912 6257692 6449254 6997886 7151648 7212107 7370576 7997584 8173312 8242408 8868608 9140096 9340928 10135552 10445824 12515384 12898508 13995772 14303296 14424214 14741152 15995168 16346624 16484816 17737216 18280192 18681856 20271104 20802721 20891648 22572389 25030768 25797016 27991544 28606592 28848428 29482304 31990336 32693248 32969632 35474432 36560384 41605442 41783296 45144778 46526761 50061536 50484749 51594032 55983088 57213184 57696856 58964608 63980672 65386496 65939264 70948864 73120768 83210884 90289556 93053522 100123072 100969498 103188064 111966176 114426368 115393712 117929216 127961344 130772992 131878528 141897728 145619047 146241536 158006723 166421768 180579112 186107044 200246144 201938996 206376128 223932352 228852736 230787424 235858432 255922688 263757056 291238094 292483072 316013446 325687327 332843536 353393243 361158224 372214088 400492288 403877992 412752256 447864704 457705472 461574848 471716864 511845376 527514112 582476188 632026892 651374654 665687072 706786486 722316448 744428176 800984576 807755984 825504512 895729408 915410944 923149696 943433728 1019333329 1023690752 1055028224 1164952376 1264053784 1302749308 1331374144 1413572972 1444632896 1488856352 1601969152 1615511968 1651009024 1791458816 1846299392 1886867456 2038666658 2047381504 2101074821 2110056448 2279811289 2329904752 2528107568 2605498616 2662748288 2827145944 2889265792 2977712704 3203938304 3231023936 3302018048 3582917632 3692598784 4077333316 4202149642 4220112896 4559622578 4659809504 4699202861 5056215136 5210997232 5325496576 5654291888 5778531584 5955425408 6407876608 6462047872 6604036096 7135333303 7165835264 7385197568 8154666632 8404299284 9119245156 9319619008 9398405722 10112430272 10421994464 10650993152 11308583776 11557063168 11910850816 12924095744 13208072192 14270666606 14331670528 14707523747 14770395136 15958679023 16309333264 16808598568 18238490312 18639238016 18796811444 20224860544 20843988928 21301986304 22617167552 23114126336 23821701632 25848191488 28541333212 29415047494 29540790272 31917358046 32618666528 32894420027 33617197136 36476980624 37278476032 37593622888 40449721088 41687977856 42603972608 45234335104 46228252672 47643403264 51696382976 57082666424 58830094988 63834716092 65237333056 65788840054 67234394272 72953961248 74556952064 75187245776 80899442176 83375955712 85207945216 90468670208 92456505344 95286806528 102952666229 103392765952 114165332848 117660189976 127669432184 130474666112 131577680108 134468788544 145907922496 149113904128 150374491552 161798884352 166751911424 180937340416 190573613056 205905332458 206785531904 212208556921 228330665696 230260940189 235320379952 255338864368 260949332224 263155360216 268937577088 291815844992 298227808256 300748983104 323597768704 333503822848 361874680832 411810664916 424417113842 456661331392 460521880378 470640759904 510677728736 521898664448 526310720432 537875154176 583631689984 596455616512 601497966208 647195537408 667007645696 720668663603 723749361664 823621329832 848834227684 913322662784 921043760756 941281519808 1021355457472 1043797328896 1052621440864 1075750308352 1167263379968 1202995932416 1334015291392 1441337327206 1447498723328 1485459898447 1611826581323 1647242659664 1697668455368 1826645325568 1842087521512 1882563039616 2042710914944 2087594657792 2105242881728 2151500616704 2334526759936 2405991864832 2882674654412 2970919796894 3223653162646 3294485319328 3395336910736 3653290651136 3684175043024 3765126079232 4085421829888 4175189315584 4210485763456 4303001233408 4669053519872 4811983729664 5765349308824 5941839593788 6447306325292 6588970638656 6790673821472 7306581302272 7368350086048 7530252158464 8170843659776 8420971526912 8606002466816 9338107039744 9623967459328 10398219289129 11530698617648 11883679187576 12894612650584 13177941277312 13581347642944 14613162604544 14736700172096 15060504316928 16341687319552 16841943053824 19247934918656 20796438578258 21433064249021 23061397235296 23767358375152 25789225301168 26355882554624 27162695285888 29226325209088 29473400344192 30121008633856 32683374639104 33683886107648 41592877156516 42866128498042 46122794470592 47534716750304 51578450602336 52711765109248 54325390571776 58946800688384 60242017267712 65366749278208 67367772215296 72787535023903 83185754313032 85732256996084 92245588941184 95069433500608 103156901204672 105423530218496 108650781143552 117893601376768 134735544430592 145575070047806 150031449743147 166371508626064 171464513992168 184491177882368 190138867001216 206313802409344 210847060436992 217301562287104 235787202753536 291150140095612 300062899486294 332743017252128 342929027984336 368982355764736 380277734002432 412627604818688 421694120873984 434603124574208 471574405507072 582300280191224 600125798972588 665486034504256 685858055968672 737964711529472 760555468004864 825255209637376 869206249148416 943148811014144 1050220148202029 1164600560382448 1200251597945176 1330972069008512 1371716111937344 1475929423058944 1521110936009728 1650510419274752 2100440296404058 2329201120764896 2400503195890352 2661944138017024 2743432223874688 2951858846117888 3042221872019456 3301020838549504 4200880592808116 4658402241529792 4801006391780704 5323888276034048 5486864447749376 6084443744038912 6602041677099008 7351541037414203 8401761185616232 9316804483059584 9602012783561408 10647776552068096 10973728895498752 14703082074828406 16803522371232464 18633608966119168 19204025567122816 21295553104136192 21947457790997504 29406164149656812 33607044742464928 37267217932238336 38408051134245632 42591106208272384 43894915581995008 58812328299313624 67214089484929856 74534435864476672 76816102268491264 87789831163990016 117624656598627248 134428178969859712 149068871728953344 153632204536982528 235249313197254496 268856357939719424 298137743457906688 307264409073965056 470498626394508992 537712715879438848 614528818147930112 940997252789017984 1075425431758877696 1881994505578035968 2150850863517755392 3763989011156071936 4301701727035510784 7527978022312143872 15055956044624287744 30111912089248575488
- Sum of all divisors σ(n): 137381260204756693030080
- Sum of proper divisors (its aliquot sum) s(n): 40829165693940229312
- 137340431039062752800768 is a deficient number, because the sum of its proper divisors (40829165693940229312) is less than itself. Its deficiency is 137299601873368812571456
Bases of 137340431039062752800768
- Binary: 111010001010100111101010111000000000100111100111000000010001010110000000000002
- Hexadecimal: 0x1D153D5C013CE022B000
- Base-36: MD4O7HVEZCJ3BI8
Squares and roots of 137340431039062752800768
- 137340431039062752800768 squared (1373404310390627528007682) is 18862393997995551612933767158389908228301389824
- 137340431039062752800768 cubed (1373404310390627528007683) is 2590569322113339228577459002733048875045035840641640748110682974584832
-
The
square root of 137340431039062752800768 is 370594699151.3272479079 -
137340431039062752800768 is a
perfect cube number . Itscube root is 51594032
Scales and comparisons
How big is 137340431039062752800768?- 137,340,431,039,062,752,800,768 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,340,431,039,062,752,800,768 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 137340431039062752800768 cubic inches would be around 4299502.7 feet tall.
Recreational maths with 137340431039062752800768
- 137340431039062752800768 backwards is 867008257260930134043731
- The number of decimal digits it has is: 24
- The sum of 137340431039062752800768's digits is 89
- More coming soon!
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The information we have on file for 137340431039062752800768 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 137340431039062752800768, math, Factors of 137340431039062752800768, curriculum, school, college, exams, university, Prime factorization of 137340431039062752800768, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven sextillion, three hundred forty quintillion, four hundred thirty-one quadrillion, thirty-nine trillion, sixty-two billion, seven hundred fifty-two million, eight hundred thousand, seven hundred sixty-eight.