135684975804239739024000
135,684,975,804,239,739,024,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 135684975804239739024000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
135684975804239739024000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135684975804239739024000:
27 × 32 × 53 × 7 × 677 × 198830296775339
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 677 × 198830296775339)See below for interesting mathematical facts about the number 135684975804239739024000 from the Numbermatics database.
Names of 135684975804239739024000
- Cardinal: 135684975804239739024000 can be written as One hundred thirty-five sextillion, six hundred eighty-four quintillion, nine hundred seventy-five quadrillion, eight hundred four trillion, two hundred thirty-nine billion, seven hundred thirty-nine million, twenty-four thousand.
Scientific notation
- Scientific notation: 1.35684975804239739024 × 1023
Factors of 135684975804239739024000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 198830296776033
Divisors of 135684975804239739024000
- Number of divisors d(n): 768
-
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 96 100 105 112 120 125 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 250 252 280 288 300 315 320 336 350 360 375 384 400 420 448 450 480 500 504 525 560 576 600 630 640 672 677 700 720 750 800 840 875 896 900 960 1000 1008 1050 1120 1125 1152 1200 1260 1344 1354 1400 1440 1500 1575 1600 1680 1750 1800 1920 2000 2016 2031 2100 2240 2250 2400 2520 2625 2688 2708 2800 2880 3000 3150 3200 3360 3385 3500 3600 4000 4032 4062 4200 4480 4500 4739 4800 5040 5250 5416 5600 5760 6000 6093 6300 6720 6770 7000 7200 7875 8000 8064 8124 8400 9000 9478 9600 10080 10155 10500 10832 11200 12000 12186 12600 13440 13540 14000 14217 14400 15750 16000 16248 16800 16925 18000 18956 20160 20310 21000 21664 22400 23695 24000 24372 25200 27080 28000 28434 28800 30465 31500 32496 33600 33850 36000 37912 40320 40620 42000 42651 43328 47390 48000 48744 50400 50775 54160 56000 56868 60930 63000 64992 67200 67700 71085 72000 75824 81240 84000 84625 85302 86656 94780 97488 100800 101550 108320 112000 113736 118475 121860 126000 129984 135400 142170 144000 151648 152325 162480 168000 169250 170604 189560 194976 201600 203100 213255 216640 227472 236950 243720 252000 253875 259968 270800 284340 303296 304650 324960 336000 338500 341208 355425 379120 389952 406200 426510 433280 454944 473900 487440 504000 507750 541600 568680 592375 606592 609300 649920 677000 682416 710850 758240 761625 779904 812400 853020 909888 947800 974880 1008000 1015500 1066275 1083200 1137360 1184750 1218600 1299840 1354000 1364832 1421700 1516480 1523250 1624800 1706040 1777125 1819776 1895600 1949760 2031000 2132550 2166400 2274720 2369500 2437200 2708000 2729664 2843400 3032960 3046500 3249600 3412080 3554250 3791200 3899520 4062000 4265100 4549440 4739000 4874400 5331375 5416000 5459328 5686800 6093000 6499200 6824160 7108500 7582400 8124000 8530200 9098880 9478000 9748800 10662750 10832000 11373600 12186000 13648320 14217000 15164800 16248000 17060400 18956000 19497600 21325500 22747200 24372000 27296640 28434000 32496000 34120800 37912000 42651000 45494400 48744000 56868000 68241600 75824000 85302000 97488000 113736000 136483200 170604000 227472000 341208000 682416000 198830296775339 397660593550678 596490890326017 795321187101356 994151483876695 1192981780652034 1391812077427373 1590642374202712 1789472670978051 1988302967753390 2385963561304068 2783624154854746 2982454451630085 3181284748405424 3578945341956102 3976605935506780 4175436232282119 4771927122608136 4970757419383475 5567248309709492 5964908903260170 6362569496810848 6959060387136865 7157890683912204 7953211871013560 8350872464564238 8947363354890255 9543854245216272 9941514838766950 11134496619418984 11929817806520340 12526308696846357 12725138993621696 13918120774273730 14315781367824408 14912272258150425 15906423742027120 16701744929128476 17894726709780510 19087708490432544 19883029677533900 20877181161410595 22268993238837968 23859635613040680 24853787096917375 25052617393692714 25450277987243392 27836241548547460 28631562735648816 29824544516300850 31812847484054240 33403489858256952 34795301935684325 35789453419561020 38175416980865088 39766059355067800 41754362322821190 44537986477675936 44736816774451275 47719271226081360 49707574193834750 50105234787385428 55672483097094920 57263125471297632 59649089032601700 62631543484231785 63625694968108480 66806979716513904 69590603871368650 71578906839122040 74561361290752125 76350833961730176 79532118710135600 83508724645642380 89075972955351872 89473633548902550 95438542452162720 99415148387669500 100210469574770856 104385905807052975 111344966194189840 114526250942595264 119298178065203400 125263086968463570 127251389936216960 133613959433027808 134608110916904503 139181207742737300 143157813678244080 149122722581504250 159064237420271200 167017449291284760 173976509678421625 178151945910703744 178947267097805100 190877084904325440 198830296775339000 200420939149541712 208771811614105950 222689932388379680 223684083872256375 229052501885190528 238596356130406800 250526173936927140 267227918866055616 269216221833809006 278362415485474600 286315627356488160 298245445163008500 313157717421158925 318128474840542400 334034898582569520 347953019356843250 357894534195610200 381754169808650880 397660593550678000 400841878299083424 403824332750713509 417543623228211900 445379864776759360 447368167744512750 477192712260813600 501052347873854280 521929529035264875 534455837732111232 538432443667618012 556724830970949200 572631254712976320 596490890326017000 626315434842317850 636256949681084800 668069797165139040 673040554584522515 695906038713686500 715789068391220400 795321187101356000 801683756598166848 807648665501427018 835087246456423800 890759729553518720 894736335489025500 942256776418331521 954385424521627200 1002104695747708560 1043859058070529750 1076864887335236024 1113449661941898400 1145262509425952640 1192981780652034000 1211472998252140527 1252630869684635700 1336139594330278080 1346081109169045030 1391812077427373000 1431578136782440800 1565788587105794625 1590642374202712000 1603367513196333696 1615297331002854036 1670174492912847600 1789472670978051000 1884513552836663042 1908770849043254400 2004209391495417120 2019121663753567545 2087718116141059500 2153729774670472048 2226899323883796800 2385963561304068000 2422945996504281054 2505261739369271400 2672279188660556160 2692162218338090060 2783624154854746000 2826770329254994563 2863156273564881600 3131577174211589250 3181284748405424000 3230594662005708072 3340348985825695200 3365202772922612575 3578945341956102000 3769027105673326084 4008418782990834240 4038243327507135090 4175436232282119000 4307459549340944096 4453798647767593600 4711283882091657605 4771927122608136000 4845891993008562108 5010523478738542800 5384324436676180120 5567248309709492000 5653540658509989126 5726312547129763200 6057364991260702635 6263154348423178500 6461189324011416144 6680697971651390400 6730405545845225150 7157890683912204000 7538054211346652168 8016837565981668480 8076486655014270180 8350872464564238000 8480310987764983689 8614919098681888192 9422567764183315210 9543854245216272000 9691783986017124216 10021046957477085600 10095608318767837725 10768648873352360240 11134496619418984000 11307081317019978252 12114729982521405270 12526308696846357000 12922378648022832288 13361395943302780800 13460811091690450300 14133851646274972815 14315781367824408000 15076108422693304336 16152973310028540360 16701744929128476000 16826013864613062875 16960621975529967378 17229838197363776384 18845135528366630420 19383567972034248432 20042093914954171200 20191216637535675450 21537297746704720480 22268993238837968000 22614162634039956504 23556419410458288025 24229459965042810540 25052617393692714000 25844757296045664576 26921622183380900600 28267703292549945630 28631562735648816000 30152216845386608672 30286824956303513175 32305946620057080720 33403489858256952000 33652027729226125750 33921243951059934756 37690271056733260840 38767135944068496864 40084187829908342400 40382433275071350900 42401554938824918445 43074595493409440960 45228325268079913008 47112838820916576050 48458919930085621080 50105234787385428000 50478041593839188625 51689514592091329152 53843244366761801200 56535406585099891260 60304433690773217344 60573649912607026350 64611893240114161440 66806979716513904000 67304055458452251500 67842487902119869512 70669258231374864075 75380542113466521680 77534271888136993728 80764866550142701800 84803109877649836890 86149190986818881920 90456650536159826016 94225677641833152100 96917839860171242160 100210469574770856000 100956083187678377250 107686488733523602400 113070813170199782520 117782097052291440125 120608867381546434688 121147299825214052700 129223786480228322880 134608110916904503000 135684975804239739024 141338516462749728150 150761084226933043360 151434124781517565875 155068543776273987456 161529733100285403600 169606219755299673780 180913301072319652032 188451355283666304200 193835679720342484320 200420939149541712000 201912166375356754500 212007774694124592225 215372977467047204800 226141626340399565040 235564194104582880250 242294599650428105400 258447572960456645760 269216221833809006000 271369951608479478048 282677032925499456300 301522168453866086720 302868249563035131750 323059466200570807200 339212439510599347560 353346291156874320375 361826602144639304064 376902710567332608400 387671359440684968640 403824332750713509000 424015549388249184450 430745954934094409600 452283252680799130080 471128388209165760500 484589199300856210800 538432443667618012000 542739903216958956096 565354065850998912600 603044336907732173440 605736499126070263500 646118932401141614400 678424879021198695120 706692582313748640750 753805421134665216800 775342718881369937280 807648665501427018000 848031098776498368900 904566505361598260160 942256776418331521000 969178398601712421600 1060038873470622961125 1076864887335236024000 1085479806433917912192 1130708131701997825200 1211472998252140527000 1292237864802283228800 1356849758042397390240 1413385164627497281500 1507610842269330433600 1615297331002854036000 1696062197552996737800 1809133010723196520320 1884513552836663042000 1938356797203424843200 2120077746941245922250 2153729774670472048000 2261416263403995650400 2422945996504281054000 2713699516084794780480 2826770329254994563000 3015221684538660867200 3230594662005708072000 3392124395105993475600 3769027105673326084000 3876713594406849686400 4240155493882491844500 4522832526807991300800 4845891993008562108000 5427399032169589560960 5653540658509989126000 6461189324011416144000 6784248790211986951200 7538054211346652168000 8480310987764983689000 9045665053615982601600 9691783986017124216000 11307081317019978252000 13568497580423973902400 15076108422693304336000 16960621975529967378000 19383567972034248432000 22614162634039956504000 27136995160847947804800 33921243951059934756000 45228325268079913008000 67842487902119869512000 135684975804239739024000
- Sum of all divisors σ(n): 557712492633941952902400
- Sum of proper divisors (its aliquot sum) s(n): 422027516829702213878400
- 135684975804239739024000 is an abundant number, because the sum of its proper divisors (422027516829702213878400) is greater than itself. Its abundance is 286342541025462474854400
Bases of 135684975804239739024000
- Binary: 111001011101101111111010011011000110000100100110111011000011011110010100000002
- Hexadecimal: 0x1CBB7F4D8C24DD86F280
- Base-36: M3FAU2R42F9VOG0
Squares and roots of 135684975804239739024000
- 135684975804239739024000 squared (1356849758042397390240002) is 18410412658997123413757486625391628472576000000
- 135684975804239739024000 cubed (1356849758042397390240003) is 2498016396182093687663591668676138489341896480178889981005824000000000
-
The
square root of 135684975804239739024000 is 368354416023.8068043461 -
The
cube root of 135684975804239739024000 is 51385894.4529084885
Scales and comparisons
How big is 135684975804239739024000?- 135,684,975,804,239,739,024,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 135,684,975,804,239,739,024,000 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 135684975804239739024000 cubic inches would be around 4282157.9 feet tall.
Recreational maths with 135684975804239739024000
- 135684975804239739024000 backwards is 000420937932408579486531
- The number of decimal digits it has is: 24
- The sum of 135684975804239739024000's digits is 99
- More coming soon!
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The information we have on file for 135684975804239739024000 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 135684975804239739024000, math, Factors of 135684975804239739024000, curriculum, school, college, exams, university, Prime factorization of 135684975804239739024000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five sextillion, six hundred eighty-four quintillion, nine hundred seventy-five quadrillion, eight hundred four trillion, two hundred thirty-nine billion, seven hundred thirty-nine million, twenty-four thousand.