137057955519226016000
137,057,955,519,226,016,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137057955519226016000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
137057955519226016000 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 137057955519226016000:
28 × 53 × 11 × 31 × 1201 × 61681 × 169553
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 31 × 1201 × 61681 × 169553)See below for interesting mathematical facts about the number 137057955519226016000 from the Numbermatics database.
Names of 137057955519226016000
- Cardinal: 137057955519226016000 can be written as One hundred thirty-seven quintillion, fifty-seven quadrillion, nine hundred fifty-five trillion, five hundred nineteen billion, two hundred twenty-six million, sixteen thousand.
Scientific notation
- Scientific notation: 1.37057955519226016 × 1020
Factors of 137057955519226016000
Divisors of 137057955519226016000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 62 64 80 88 100 110 124 125 128 155 160 176 200 220 248 250 256 275 310 320 341 352 400 440 496 500 550 620 640 682 704 775 800 880 992 1000 1100 1201 1240 1280 1364 1375 1408 1550 1600 1705 1760 1984 2000 2200 2402 2480 2728 2750 2816 3100 3200 3410 3520 3875 3968 4000 4400 4804 4960 5456 5500 6005 6200 6400 6820 7040 7750 7936 8000 8525 8800 9608 9920 10912 11000 12010 12400 13211 13640 14080 15500 16000 17050 17600 19216 19840 21824 22000 24020 24800 26422 27280 30025 31000 32000 34100 35200 37231 38432 39680 42625 43648 44000 48040 49600 52844 54560 60050 61681 62000 66055 68200 70400 74462 76864 85250 87296 88000 96080 99200 105688 109120 120100 123362 124000 132110 136400 148924 150125 153728 169553 170500 176000 186155 192160 198400 211376 218240 240200 246724 248000 264220 272800 297848 300250 307456 308405 330275 339106 341000 352000 372310 384320 409541 422752 436480 480400 493448 496000 528440 545600 595696 600500 616810 660550 678212 678491 682000 744620 768640 819082 845504 847765 930775 960800 986896 992000 1056880 1091200 1191392 1201000 1233620 1321100 1356424 1356982 1364000 1489240 1537280 1542025 1638164 1651375 1691008 1695530 1861550 1865083 1912111 1921600 1973792 2047705 2113760 2182400 2382784 2402000 2467240 2642200 2712848 2713964 2728000 2978480 3084050 3276328 3302750 3382016 3391060 3392455 3723100 3730166 3824222 3843200 3947584 4095410 4227520 4238825 4653875 4765568 4804000 4934480 5256143 5284400 5425696 5427928 5456000 5956960 6168100 6552656 6605500 6782120 6784910 7446200 7460332 7648444 7686400 7710125 7895168 8190820 8455040 8477650 9307750 9325415 9531136 9560555 9608000 9868960 10238525 10512286 10568800 10851392 10855856 10912000 11913920 12336200 13105312 13211000 13564240 13569820 14892400 14920664 15296888 15420250 15790336 16381640 16910080 16955300 16962275 18615500 18650830 19121110 19216000 19737920 20477050 21024572 21033221 21137600 21194125 21702784 21711712 23827840 24672400 26210624 26280715 26422000 27128480 27139640 29784800 29841328 30593776 30840500 32763280 33910600 33924550 37231000 37301660 38242220 38432000 39475840 40954100 42049144 42066442 42275200 42388250 43405568 43423424 46627075 47655680 47802775 49344800 51192625 52421248 52561430 52844000 54256960 54279280 57817573 59569600 59682656 61187552 61681000 65526560 67821200 67849100 74078881 74462000 74603320 76484440 78951680 81908200 84098288 84132884 84550400 84776500 84811375 86846848 93254150 95605550 98689600 102385250 104842496 105122860 105166105 105688000 108513920 108558560 115635146 119139200 119365312 122375104 123362000 131053120 131403575 135642400 135698200 148157762 148924000 149206640 152968880 163816400 168196576 168265768 169553000 169622750 173693696 186508300 191211100 197379200 203633153 204770500 210245720 210332210 211376000 217027840 217117120 231270292 233135375 238278400 238730624 239013875 244750208 246724000 262106240 262807150 271284800 271396400 289087865 296315524 297848000 298413280 305937760 327632800 336393152 336531536 339106000 339245500 370394405 373016600 382422200 394758400 407266306 409541000 420491440 420664420 422752000 434234240 462540584 466270750 477461248 478027750 489500416 493448000 524212480 525614300 525830525 542569600 542792800 578175730 592631048 595696000 596826560 611875520 655265600 657017875 672786304 673063072 678212000 678491000 740788810 746033200 764844400 814532612 814867691 819082000 840982880 841328840 868468480 925081168 932541500 956055500 986896000 1018165765 1051228600 1051661050 1085139200 1085585600 1156351460 1185262096 1191392000 1193653120 1223751040 1310531200 1314035750 1345572608 1346126144 1356424000 1356982000 1445439325 1481577620 1492066400 1529688800 1629065224 1629735382 1638164000 1681965760 1682657680 1850162336 1851972025 1865083000 1912111000 1973792000 2036331530 2102457200 2103322100 2171171200 2239964683 2296445311 2312702920 2370524192 2387306240 2447502080 2621062400 2628071500 2629152625 2692252288 2712848000 2713964000 2890878650 2963155240 2984132800 3059377600 3258130448 3259470764 3276328000 3363931520 3365315360 3700324672 3703944050 3730166000 3824222000 4072663060 4074338455 4204914400 4206644200 4342342400 4479929366 4592890622 4625405840 4741048384 5090828825 5256143000 5258305250 5384504576 5425696000 5427928000 5781757300 5926310480 5968265600 6118755200 6312627743 6516260896 6518941528 6552656000 6727863040 6730630720 7227196625 7400649344 7407888100 7460332000 7648444000 8145326120 8148676910 8409828800 8413288400 8959858732 9185781244 9250811680 9259860125 9482096768 10181657650 10458198593 10512286000 10516610500 10855856000 11199823415 11482226555 11563514600 11852620960 11936531200 12237510400 12625255486 13032521792 13037883056 13105312000 13461261440 14454393250 14801298688 14815776200 14920664000 15296888000 16290652240 16297353820 16819657600 16826576800 17919717464 18371562488 18501623360 18519720250 18964193536 20363315300 20371692275 20916397186 21024572000 21033221000 21711712000 22399646830 22964453110 23127029200 23705241920 25250510972 25260898421 25454144125 26065043584 26075766112 26922522880 28908786500 29631552400 29841328000 30593776000 31563138715 32581304480 32594707640 33639315200 33653153600 35839434928 36743124976 37003246720 37039440500 40726630600 40743384550 41832794372 42049144000 42066442000 44799293660 45928906220 46254058400 47410483840 50501021944 50521796842 50908288250 52130087168 52151532224 52290992965 55999117075 57411132775 57817573000 59263104800 59682656000 61187552000 63126277430 65162608960 65189415280 67306307200 69438905173 71678869856 73486249952 74006493440 74078881000 81453261200 81486769100 83665588744 84098288000 84132884000 89598587320 91857812440 92508116800 94820967680 101002043888 101043593684 101816576500 101858461375 104303064448 104581985930 111998234150 114822265550 115040184523 115635146000 118526209600 126252554860 126304492105 130325217920 130378830560 134612614400 138877810346 143357739712 146972499904 148157762000 157815693575 162906522400 162973538200 167331177488 168196576000 168265768000 179197174640 183715624880 185016233600 202004087776 202087187368 203633153000 203716922750 208606128896 209163971860 223996468300 229644531100 230080369046 231270292000 237052419200 252505109720 252608984210 260650435840 260757661120 261454964825 277755620692 279995585375 286715479424 287055663875 293944999808 296315524000 315631387150 324204156383 325813044800 325947076400 334662354976 336531536000 347194525865 358394349280 367431249760 370032467200 404008175552 404174374736 407266306000 407433845500 418327943720 447992936600 459289062200 460160738092 462540584000 474104838400 505010219440 505217968420 521515322240 522909929650 555511241384 559991170750 573430958848 574111327750 575200922615 587889999616 592631048000 631262774300 631522460525 648408312766 651626089600 651894152800 669324709952 673063072000 694389051730 716788698560 734862499520 789078467875 808016351104 808348749472 814532612000 814867691000 836655887440 895985873200 918578124400 920321476184 925081168000 1010020438880 1010435936840 1043030644480 1045819859300 1111022482768 1119982341500 1148222655500 1150401845230 1185262096000 1262525548600 1263044921050 1296816625532 1303252179200 1303788305600 1307274824125 1338649419904 1388778103460 1433577397120 1469724999040 1578156935750 1616032702208 1616697498944 1621020781915 1629065224000 1629735382000 1673311774880 1735972629325 1791971746400 1837156248800 1840642952368 1850162336000 2020040877760 2020871873680 2091639718600 2222044965536 2239964683000 2296445311000 2300803690460 2370524192000 2525051097200 2526089842100 2593633251064 2607576611200 2614549648250 2677298839808 2777556206920 2867154794240 2876004613075 2939449998080 3156313871500 3157612302625 3233394997888 3242041563830 3258130448000 3259470764000 3346623549760 3471945258650 3566245720213 3583943492800 3674312497600 3681285904736 4040081755520 4041743747360 4183279437200 4444089931072 4479929366000 4592890622000 4601607380920 5050102194400 5052179684200 5187266502128 5215153222400 5229099296500 5555112413840 5752009226150 6312627743000 6315224605250 6466789995776 6484083127660 6516260896000 6518941528000 6693247099520 6943890517300 7132491440426 7167886985600 7348624995200 7362571809472 8080163511040 8083487494720 8105103909575 8366558874400 8679863146625 8888179862144 8959858732000 9185781244000 9203214761840 10100204388800 10104359368400 10374533004256 10458198593000 11110224827680 11504018452300 12560296510193 12625255486000 12630449210500 12968166255320 13037883056000 13386494199040 13887781034600 14264982880852 14335773971200 14380023065375 14697249990400 14725143618944 16166974989440 16210207819150 16733117748800 17359726293250 17776359724288 17831228601065 17919717464000 18371562488000 18406429523680 20200408777600 20208718736800 20749066008512 20916397186000 22220449655360 23008036904600 25120593020386 25250510972000 25260898421000 25936332510640 26075766112000 27775562069200 28529965761704 28760046130750 29450287237888 32333949978880 32420415638300 33466235497600 34719452586500 35662457202130 35839434928000 36743124976000 36812859047360 40400817555200 40417437473600 40525519547875 41498132017024 41832794372000 44440899310720 46016073809200 50241186040772 50501021944000 50521796842000 51872665021280 55551124138400 57059931523408 57520092261500 62801482550965 64840831276600 66932470995200 69438905173000 71324914404260 71678869856000 73486249952000 73625718094720 80834874947200 81051039095750 82996264034048 83665588744000 88881798621440 89156143005325 92032147618400 100482372081544 101002043888000 101043593684000 103745330042560 111102248276800 114119863046816 115040184523000 125602965101930 129681662553200 138163261612123 138877810346000 142649828808520 147251436189440 161669749894400 162102078191500 167331177488000 178312286010650 184064295236800 200964744163088 202004087776000 202087187368000 207490660085120 222204496553600 228239726093632 230080369046000 251205930203860 259363325106400 276326523224246 277755620692000 285299657617040 314007412754825 324204156383000 334662354976000 356624572021300 368128590473600 389369191815983 401929488326176 404174374736000 414981320170240 444408993107200 445780715026625 456479452187264 460160738092000 502411860407720 518726650212800 552653046448492 555511241384000 570599315234080 628014825509650 648408312766000 690816308060615 713249144042600 736257180947200 778738383631966 803858976652352 808348749472000 891561430053250 912958904374528 920321476184000 1004823720815440 1037453300425600 1105306092896984 1111022482768000 1141198630468160 1256029651019300 1296816625532000 1381632616121230 1426498288085200 1557476767263932 1570037063774125 1607717953304704 1783122860106500 1840642952368000 1946845959079915 2009647441630880 2074906600851200 2210612185793968 2222044965536000 2282397260936320 2512059302038600 2593633251064000 2763265232242460 2852996576170400 3114953534527864 3140074127548250 3215435906609408 3454081540303075 3566245720213000 3681285904736000 3893691918159830 4019294883261760 4283061109975813 4421224371587936 4564794521872640 5024118604077200 5187266502128000 5526530464484920 5705993152340800 6229907069055728 6280148255096500 6908163080606150 7132491440426000 7787383836319660 8038589766523520 8566122219951626 8842448743175872 9734229795399575 10048237208154400 10374533004256000 11053060928969840 11411986304681600 12459814138111456 12560296510193000 13816326161212300 14264982880852000 15574767672639320 16077179533047040 17132244439903252 17270407701515375 17684897486351744 19468459590799150 20096474416308800 21415305549879065 22106121857939680 22823972609363200 24919628276222912 25120593020386000 27632652322424600 28529965761704000 31149535345278640 34264488879806504 34540815403030750 35369794972703488 38936919181598300 40192948832617600 42830611099758130 44212243715879360 48671148976997875 49839256552445824 50241186040772000 55265304644849200 57059931523408000 62299070690557280 68528977759613008 69081630806061500 77873838363196600 80385897665235200 85661222199516260 88424487431758720 97342297953995750 99678513104891648 100482372081544000 107076527749395325 110530609289698400 114119863046816000 124598141381114560 137057955519226016 138163261612123000 155747676726393200 171322444399032520 176848974863517440 194684595907991500 200964744163088000 214153055498790650 221061218579396800 249196282762229120 274115911038452032 276326523224246000 311495353452786400 342644888798065040 389369191815983000 401929488326176000 428306110997581300 442122437158793600 498392565524458240 535382638746976625 548231822076904064 552653046448492000 622990706905572800 685289777596130080 778738383631966000 856612221995162600 884244874317587200 1070765277493953250 1096463644153808128 1105306092896984000 1245981413811145600 1370579555192260160 1557476767263932000 1713224443990325200 2141530554987906500 2210612185793968000 2491962827622291200 2741159110384520320 3114953534527864000 3426448887980650400 4283061109975813000 4421224371587936000 5482318220769040640 6229907069055728000 6852897775961300800 8566122219951626000 12459814138111456000 13705795551922601600 17132244439903252000 27411591103845203200 34264488879806504000 68528977759613008000 137057955519226016000
- Sum of all divisors σ(n): 384811176570990833664
- Sum of proper divisors (its aliquot sum) s(n): 247753221051764817664
- 137057955519226016000 is an abundant number, because the sum of its proper divisors (247753221051764817664) is greater than itself. Its abundance is 110695265532538801664
Bases of 137057955519226016000
- Binary: 11101101110000011111010110001100001011011001100000101110001000000002
- Hexadecimal: 0x76E0FAC616CC17100
- Base-36: SXAVIDZOAFXFK
Squares and roots of 137057955519226016000
- 137057955519226016000 squared (1370579555192260160002) is 18784883171110137141110215691232256000000
- 137057955519226016000 cubed (1370579555192260160003) is 2574617682099870526291075397241491547655690413572096000000000
-
The
square root of 137057955519226016000 is 11707175386.0282633079 -
The
cube root of 137057955519226016000 is 5155863.5639585523
Scales and comparisons
How big is 137057955519226016000?- 137,057,955,519,226,016,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,057,955,519,226,016,000 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 137057955519226016000 cubic inches would be around 429655.3 feet tall.
Recreational maths with 137057955519226016000
- 137057955519226016000 backwards is 000610622915559750731
- The number of decimal digits it has is: 21
- The sum of 137057955519226016000's digits is 74
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137057955519226016000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 137057955519226016000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/137057955519226016000/
Chicago style:
Numbermatics. 2024. "Number 137057955519226016000 - Facts about the integer". https://numbermatics.com/n/137057955519226016000/
The information we have on file for 137057955519226016000 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 137057955519226016000, math, Factors of 137057955519226016000, curriculum, school, college, exams, university, Prime factorization of 137057955519226016000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, fifty-seven quadrillion, nine hundred fifty-five trillion, five hundred nineteen billion, two hundred twenty-six million, sixteen thousand.