137042540800802419308100
137,042,540,800,802,419,308,100 is an even composite number composed of five prime numbers multiplied together.
What does the number 137042540800802419308100 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 945 divisors.
137042540800802419308100 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred forty-five divisors.
Prime factorization of 137042540800802419308100:
22 × 52 × 194 × 312 × 1496
(2 × 2 × 5 × 5 × 19 × 19 × 19 × 19 × 31 × 31 × 149 × 149 × 149 × 149 × 149 × 149)See below for interesting mathematical facts about the number 137042540800802419308100 from the Numbermatics database.
Names of 137042540800802419308100
- Cardinal: 137042540800802419308100 can be written as One hundred thirty-seven sextillion, forty-two quintillion, five hundred forty quadrillion, eight hundred trillion, eight hundred two billion, four hundred nineteen million, three hundred eight thousand, one hundred.
Scientific notation
- Scientific notation: 1.370425408008024193081 × 1023
Factors of 137042540800802419308100
Divisors of 137042540800802419308100
- Number of divisors d(n): 945
-
Complete list of divisors:
1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 149 155 190 298 310 361 380 475 589 596 620 722 745 775 950 961 1178 1444 1490 1550 1805 1900 1922 2356 2831 2945 2980 3100 3610 3725 3844 4619 4805 5662 5890 6859 7220 7450 9025 9238 9610 11191 11324 11780 13718 14155 14725 14900 18050 18259 18476 19220 22201 22382 23095 24025 27436 28310 29450 34295 36100 36518 44402 44764 46190 48050 53789 55955 56620 58900 68590 70775 73036 87761 88804 91295 92380 96100 107578 111005 111910 115475 130321 137180 141550 143189 171475 175522 182590 212629 215156 222010 223820 230950 260642 268945 279775 283100 286378 342950 346921 351044 365180 421819 425258 438805 444020 456475 461900 521284 537890 555025 559550 572756 651605 685900 688231 693842 715945 843638 850516 877610 912950 1021991 1063145 1075780 1110050 1119100 1303210 1344725 1376462 1387684 1431890 1667459 1687276 1734605 1755220 1825900 2043982 2109095 2126290 2194025 2220100 2606420 2689450 2720591 2752924 2863780 3258025 3307949 3334918 3441155 3469210 3579725 4039951 4087964 4218190 4252580 4388050 5109955 5315725 5378900 5441182 6516050 6591499 6615898 6669836 6882310 6938420 7159450 8014561 8079902 8337295 8436380 8673025 8776100 10219910 10545475 10631450 10882364 13032100 13076389 13182998 13231796 13602955 13764620 14318900 16029122 16159804 16539745 16674590 17205775 17346050 19417829 20199755 20439820 21090950 21262900 21335161 25549775 26152778 26365996 27205910 31681721 32058244 32957495 33079490 33349180 34411550 34692100 38835658 40072805 40399510 41686475 42181900 42670322 51099550 51691229 52305556 54411820 62851031 63363442 65381945 65914990 66158980 68014775 68823100 77671316 80145610 80799020 82698725 83372950 85340644 97089145 100998775 102199100 102546419 103382458 106675805 125238481 125702062 126726884 130763890 131829980 136029550 152276659 158408605 160291220 164787475 165397450 166745900 194178290 200364025 201997550 205092838 206764916 213351610 248451391 250476962 251404124 258456145 261527780 272059100 304553318 314255155 316817210 326909725 329574950 330794900 388356580 400728050 403995100 405368059 410185676 426703220 485445725 492884401 496902782 500953924 512732095 516912290 533379025 601952699 609106636 626192405 628510310 633634420 653819450 659149900 761383295 792043025 801456100 810736118 970891450 982133351 985768802 993805564 1025464190 1033824580 1066758050 1194169589 1203905398 1242256955 1252384810 1257020620 1292280725 1307638900 1522766590 1571275775 1584086050 1621472236 1941782900 1948381961 1964266702 1971537604 2026840295 2050928380 2133516100 2388339178 2407810796 2464422005 2484513910 2504769620 2563660475 2584561450 2893256521 3009763495 3045533180 3130962025 3142551550 3168172100 3178938989 3806916475 3896763922 3928533404 4053680590 4720576429 4776678356 4910666755 4928844010 4969027820 5127320950 5169122900 5786513042 5970847945 6019526990 6211284775 6261924050 6285103100 6357877978 7613832950 7701993121 7793527844 8107361180 9364803619 9441152858 9741909805 9821333510 9857688020 10134201475 10254641900 11573026084 11941695890 12039053980 12322110025 12422569550 12523848100 12715755956 14466282605 15048817475 15227665900 15279416431 15403986242 15894694945 18660533669 18729607238 18882305716 19483819610 19642667020 20268402950 22689222191 23602882145 23883391780 24553333775 24644220050 24845139100 28932565210 29854239725 30097634950 30558832862 30807972484 31789389890 37019257259 37321067338 37459214476 38509965605 38967639220 40536805900 45378444382 46824018095 47205764290 48709549025 49106667550 49288440100 57865130420 59708479450 60195269900 60399840791 61117665724 63578779780 72331413025 73439775749 74038514518 74642134676 76397082155 77019931210 79473474725 89690952151 90756888764 93302668345 93648036190 94411528580 97419098050 98213335100 113446110955 118014410725 119416958900 120799681582 144662826050 146337869299 146879551498 148077029036 152794164310 154039862420 158946949450 177931268761 179381904302 185096286295 186605336690 187296072380 192549828025 194838196100 226892221910 234120090475 236028821450 241599363164 289325652100 290308912189 292675738598 293759102996 301999203955 305588328620 317893898900 355862537522 358763808604 367198878745 370192572590 373210673380 381985410775 385099656050 431095221629 448454760755 453784443820 466513341725 468240180950 472057642900 473661909361 567230554775 580617824378 585351477196 603998407910 703365887921 711725075044 731689346495 734397757490 740385145180 763970821550 770199312100 862190443258 889656343805 896909521510 925481431475 933026683450 936480361900 947323818722 1134461109550 1147596975029 1161235648756 1207996815820 1395355739231 1406731775842 1451544560945 1463378692990 1468795514980 1509996019775 1527941643100 1724380886516 1779312687610 1793819043020 1835994393725 1850962862950 1866053366900 1894647637444 2155476108145 2242273803775 2268922219100 2276633048219 2295193950058 2368309546805 2780419516681 2790711478462 2813463551684 2903089121890 2926757385980 3019992039550 3380694106459 3516829439605 3558625375220 3658446732475 3671988787450 3701925725900 4310952216290 4448281719025 4484547607550 4553266096438 4590387900116 4736619093610 5515869331591 5560839033362 5581422956924 5737984875145 5806178243780 6039984079100 6761388212918 6976778696155 7033658879210 7257722804725 7316893464950 7343977574900 8621904432580 8896563438050 8969095215100 8999576277859 9106532192876 9473238187220 10777380540725 10942526586601 11031738663182 11121678066724 11383165241095 11475969750290 11841547734025 13363951870499 13522776425836 13902097583405 13953557392310 14067317758420 14515445609450 14633786929900 16903470532295 17584147198025 17793126876100 17999152555718 21554761081450 21804342525551 21885053173202 22063477326364 22766330482190 22951939500580 23683095468050 26511759045389 26727903740998 27579346657955 27804195166810 27907114784620 28689924375725 29030891218900 33806941064590 34883893480775 35168294396050 35998305111436 43109522162900 43256027916161 43608685051102 43770106346404 44997881389295 45532660964380 47366190936100 53023518090778 53455807481996 54712632933005 55158693315910 55608390333620 56915826205475 57379848751450 64233188022721 66819759352495 67613882129180 69510487917025 69767786961550 70336588792100 70575624494789 84517352661475 86512055832322 87217370102204 89995762778590 104801517300229 106047036181556 109021712627755 109425265866010 110317386631820 113831652410950 114759697502900 128466376045442 132558795226945 133639518704990 137896733289775 139020975834050 139535573923100 141151248989578 169034705322950 170991949279321 173024111664644 179991525557180 207908005145419 209603034600458 216280139580805 218043425255510 218850531732020 224989406946475 227663304821900 256932752090884 265117590453890 267279037409980 273563164665025 275793466579550 278041951668100 282302497979156 321165940113605 334098796762475 338069410645900 339218324184631 341983898558642 352878122473945 414282507985469 415816010290838 419206069200916 432560279161610 436086850511020 449978813892950 503723421862391 524007586501145 530235180907780 545108563138775 547126329330050 551586933159100 642331880227210 662793976134725 668197593524950 678436648369262 683967797117284 705756244947890 821864530407059 828565015970938 831632020581676 854959746396605 865120558323220 899957627785900 1007446843724782 1039540025727095 1048015173002290 1081400697904025 1090217126277550 1094252658660100 1284663760454420 1325587952269450 1336395187049900 1340936865400991 1356873296738524 1411512489895780 1605829700568025 1643729060814118 1657130031941876 1696091620923155 1709919492793210 1764390612369725 1991228828704351 2014893687449564 2071412539927345 2079080051454190 2096030346004580 2162801395808050 2180434252555100 2518617109311955 2620037932505725 2651175904538900 2681873730801982 3211659401136050 3248847036307099 3287458121628236 3392183241846310 3419838985586420 3528781224739450 3950252097762961 3982457657408702 4109322652035295 4142825079854690 4158160102908380 4274798731983025 4325602791616100 5037234218623910 5197700128635475 5240075865011450 5363747461603964 6423318802272100 6445148159507989 6497694072614198 6704684327004955 6784366483692620 7057562449478900 7900504195525922 7964915314817404 8218645304070590 8285650159709380 8480458104615775 8549597463966050 9570745015385429 9956144143521755 10074468437247820 10357062699636725 10395400257270950 10480151730022900 10515768049723561 12593085546559775 12890296319015978 12995388145228396 13409368654009910 15615426077734121 15801008391051844 16244235181535495 16437290608141180 16960916209231550 17099194927932100 19141490030770858 19751260488814805 19912288287043510 20546613260176475 20714125399273450 20790800514541900 21031536099447122 25186171093119550 25477800442618829 25780592638031956 26818737308019820 31230852155468242 32225740797539945 32488470363070990 33523421635024775 33921832418463100 38282980061541716 39502520977629610 39824576574087020 41093226520352950 41428250798546900 42063072198894244 47853725076927145 49780720717608775 50372342186239100 50955600885237658 52578840248617805 61728093689834881 62461704310936484 64451481595079890 64976940726141980 67046843270049550 75054789857496259 78077130388670605 79005041955259220 81221175907677475 82186453040705900 95707450153854290 98756302444074025 99561441435217550 101911201770475316 105157680497235610 122457815030651791 123456187379669762 127389002213094145 128902963190159780 134093686540099100 150109579714992518 156154260777341210 161128703987699725 162442351815354950 191414900307708580 197512604888148050 199122882870435100 199799592944747659 210315360994471220 239268625384635725 244915630061303582 246912374759339524 254778004426188290 262894201243089025 296693095476948299 300219159429985036 308640468449174405 312308521554682420 322257407975399450 324884703630709900 375273949287481295 390385651943353025 395025209776296100 399599185889495318 478537250769271450 484078208409757751 489831260122607164 509556008852376580 525788402486178050 593386190953896598 612289075153258955 617280936898348810 636945011065470725 644514815950798900 750547898574962590 780771303886706050 799198371778990636 957074501538542900 968156416819515502 998997964723738295 1051576804972356100 1186772381907793196 1224578150306517910 1234561873796697620 1273890022130941450 1426041007292428921 1483465477384741495 1501095797149925180 1543202342245872025 1561542607773412100 1876369746437406475 1936312833639031004 1997995929447476590 2326698485582384029 2420391042048788755 2449156300613035820 2547780044261882900 2852082014584857842 2966930954769482990 3061445375766294775 3086404684491744050 3752739492874812950 3796192265950205521 3995991858894953180 4653396971164768058 4840782084097577510 4994989823618691475 5704164029169715684 5933861909538965980 6122890751532589550 6172809368983488100 7130205036462144605 7417327386923707475 7505478985749625900 7592384531900411042 9197485959785397269 9306793942329536116 9681564168195155020 9989979647237382950 11633492427911920145 12101955210243943775 12245781503065179100 14260410072924289210 14834654773847414950 15184769063800822084 18394971919570794538 18980961329751027605 19979959294474765900 23266984855823840290 24203910420487887550 28520820145848578420 29669309547694829900 35651025182310723025 36789943839141589076 37961922659502055210 44207271226065296551 45987429798926986345 46533969711647680580 48407820840975775100 58167462139559600725 71302050364621446050 72127653053053904899 75923845319004110420 88414542452130593102 91974859597853972690 94904806648755138025 116334924279119201450 142604100729242892100 144255306106107809798 176829084904261186204 183949719195707945380 189809613297510276050 221036356130326482755 229937148994634931725 232669848558238402900 288510612212215619596 360638265265269524495 379619226595020552100 442072712260652965510 459874297989269863450 721276530530539048990 884145424521305931020 919748595978539726900 1105181780651632413775 1370425408008024193081 1442553061061078097980 1803191326326347622475 2210363561303264827550 2740850816016048386162 3606382652652695244950 4420727122606529655100 5481701632032096772324 6852127040040120965405 7212765305305390489900 13704254080080241930810 27408508160160483861620 34260635200200604827025 68521270400401209654050 137042540800802419308100
- Sum of all divisors σ(n): 326547580368486395130891
- Sum of proper divisors (its aliquot sum) s(n): 189505039567683975822791
- 137042540800802419308100 is an abundant number, because the sum of its proper divisors (189505039567683975822791) is greater than itself. Its abundance is 52462498766881556514691
Bases of 137042540800802419308100
- Binary: 111010000010100010111010011010100011111010100100001000111101011110110010001002
- Hexadecimal: 0x1D05174D47D4847AF644
- Base-36: MBDSZ7AZZ3OGV9G
Squares and roots of 137042540800802419308100
- 137042540800802419308100 squared (1370425408008024193081002) is 18780657989139595801538647917706011682725610000
- 137042540800802419308100 cubed (1370425408008024193081003) is 2573749088742578977117176991816445455212736227263551200698350441000000
-
137042540800802419308100 is a
perfect square number . Itssquare root is 370192572590 -
The
cube root of 137042540800802419308100 is 51556702.6576709385 - Being both a perfect square and a perfect cube, 137042540800802419308100 is also a
perfect sixth number .
Scales and comparisons
How big is 137042540800802419308100?- 137,042,540,800,802,419,308,100 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,042,540,800,802,419,308,100 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 137042540800802419308100 cubic inches would be around 4296391.9 feet tall.
Recreational maths with 137042540800802419308100
- 137042540800802419308100 backwards is 001803914208008045240731
- The number of decimal digits it has is: 24
- The sum of 137042540800802419308100's digits is 70
- More coming soon!
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"Number 137042540800802419308100 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 137042540800802419308100 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/137042540800802419308100/
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Numbermatics. 2024. "Number 137042540800802419308100 - Facts about the integer". https://numbermatics.com/n/137042540800802419308100/
The information we have on file for 137042540800802419308100 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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