138761066881072920375
138,761,066,881,072,920,375 is an odd composite number composed of six prime numbers multiplied together.
138761066881072920375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138761066881072920375:
33 × 53 × 72 × 132 × 172 × 1310712
(3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 17 × 17 × 131071 × 131071)See below for interesting mathematical facts about the number 138761066881072920375 from the Numbermatics database.
Names of 138761066881072920375
- Cardinal: 138761066881072920375 can be written as One hundred thirty-eight quintillion, seven hundred sixty-one quadrillion, sixty-six trillion, eight hundred eighty-one billion, seventy-two million, nine hundred twenty thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38761066881072920375 × 1020
Factors of 138761066881072920375
Divisors of 138761066881072920375
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 3 5 7 9 13 15 17 21 25 27 35 39 45 49 51 63 65 75 85 91 105 117 119 125 135 147 153 169 175 189 195 221 225 245 255 273 289 315 325 351 357 375 425 441 455 459 507 525 585 595 637 663 675 735 765 819 833 845 867 875 945 975 1071 1105 1125 1183 1225 1275 1323 1365 1445 1521 1547 1575 1625 1755 1785 1911 1989 2023 2125 2205 2275 2295 2457 2499 2535 2601 2625 2873 2925 2975 3185 3213 3315 3375 3549 3675 3757 3825 4095 4165 4225 4335 4563 4641 4725 4875 5355 5525 5733 5915 5967 6069 6125 6375 6615 6825 7225 7497 7605 7735 7803 7875 8281 8619 8775 8925 9555 9945 10115 10647 10829 11025 11271 11375 11475 12285 12495 12675 13005 13923 14161 14365 14625 14875 15925 16065 16575 17199 17745 18207 18375 18785 19125 20111 20475 20825 21125 21675 22491 22815 23205 23625 24843 25857 26299 26775 27625 28665 29575 29835 30345 31941 32487 33075 33813 34125 36125 37485 38025 38675 39015 41405 41769 42483 43095 43875 44625 47775 48841 49725 50575 53235 54145 54621 55125 56355 57375 60333 61425 62475 63375 65025 69615 70805 71825 74529 77571 78897 79625 80325 82875 85995 88725 91035 93925 97461 100555 101439 102375 104125 108375 112455 114075 116025 124215 127449 129285 131071 131495 133875 140777 143325 146523 147875 149175 151725 159705 162435 165375 169065 180999 184093 187425 190125 193375 195075 207025 208845 212415 215475 223587 236691 238875 244205 248625 252875 266175 270725 273105 281775 292383 301665 307125 312375 325125 341887 348075 354025 359125 372645 382347 387855 393213 394485 401625 422331 429975 439569 443625 455175 469625 487305 502775 507195 542997 552279 562275 570375 580125 621075 637245 646425 655355 657475 703885 710073 716625 732615 745875 758625 798525 812175 845325 904995 917497 920465 937125 975375 1025661 1035125 1044225 1062075 1077375 1117935 1179639 1183455 1221025 1266993 1318707 1330875 1353625 1365525 1408875 1461915 1508325 1656837 1703923 1709435 1740375 1770125 1863225 1911735 1939275 1966065 1972425 2111655 2149875 2197845 2228207 2275875 2393209 2436525 2513875 2535975 2714985 2752491 2761395 2811375 3076983 3105375 3186225 3232125 3276775 3287375 3519425 3538917 3550365 3663075 3800979 3992625 4060875 4226625 4524975 4587485 4602325 4970511 5111769 5128305 5221125 5310375 5589675 5898195 5917275 6105125 6334965 6422479 6593535 6684621 6827625 7179627 7309575 7541625 8257473 8284185 8519615 8547175 9230949 9316125 9558675 9696375 9830325 9862125 10558275 10989225 11141035 11927461 11966045 12182625 12679875 13574925 13762455 13806975 15335307 15384915 15597449 15931125 16383875 17597125 17694585 17751825 18315375 19004895 19267437 20053863 21538881 22150999 22624875 22937425 23011625 24772419 24852555 25558845 25641525 27948375 28966691 29490975 29586375 31674825 32112395 32967675 33423105 35782383 35898135 36547875 37879519 41287365 41420925 42598075 42735875 46005921 46154745 46792347 47793375 49151625 52791375 54946125 55705175 57802311 59637305 59830225 60161589 64616643 66452997 67874625 68812275 69034875 76676535 76924575 77987245 83492227 86900073 88472925 88759125 95024475 96337185 100269315 107347149 107694405 109182143 110754995 113638557 114687125 123862095 124262775 127794225 128207625 140377041 144833455 147454875 155056993 158374125 160561975 164838375 167115525 173406933 178911915 179490675 189397595 199358991 202766837 206436825 207104625 212990375 230029605 230773725 233961735 250476681 260700219 265156633 278525875 289011555 298186525 299151125 300807945 322041447 323083215 327546429 332264985 340915671 344061375 376566983 383382675 384622875 389936225 417461135 421131123 434500365 442364625 465170979 475122375 481685925 492433747 501346575 536735745 538472025 545910715 553774975 568192785 598076973 608300511 619310475 621313875 638971125 701885205 724167275 751430043 775284965 782100657 795469899 802809875 835577625 867034665 894559575 897453375 946987975 982639287 996794955 1013834185 1022747013 1032184125 1085398951 1129700949 1150148025 1153868625 1169808675 1252383405 1303501095 1325783165 1395512937 1419367859 1445057775 1477301241 1490932625 1504039725 1610207235 1615416075 1637732145 1661324925 1704578355 1824901533 1856096431 1882834915 1916913375 1949681125 2087305675 2105655615 2172501825 2254290129 2325854895 2386409697 2408429625 2462168735 2506732875 2635968881 2683678725 2692360125 2729553575 2768874875 2840963925 2947917861 2990384865 3041502555 3096552375 3256196853 3389102847 3447036229 3509426025 3620836375 3757150215 3876424825 3910503285 3977349495 4186538811 4258103577 4335173325 4431903723 4472797875 4734939875 4913196435 4983974775 5069170925 5113735065 5426994755 5474704599 5568289293 5648504745 5750740125 5849043375 6261917025 6401638711 6517505475 6628915825 6977564685 7096839295 7159229091 7225288875 7386506205 7520198625 7907906643 8051036175 8077080375 8188660725 8306624625 8522891775 9124507665 9280482155 9414174575 9768590559 10167308541 10341108687 10436528375 10528278075 10862509125 11271450645 11629274475 11932048485 12310843675 12774310731 13179844405 13295711169 13418393625 13647767875 14204819625 14739589305 14951924325 15207512775 16280984265 16704867879 16945514235 17179607041 17235181145 17547130125 18451782167 18785751075 19204916133 19382124125 19552516425 19886747475 20932694055 21290517885 21675866625 22159518615 23723719929 24129253603 24565982175 24919873875 25345854625 25568675325 27134973775 27373522995 27841446465 28242523725 29305771677 31023326061 31309585125 32008193555 32587527375 33144579125 34887823425 35484196475 35796145455 36932531025 38322932193 39539533215 40255180875 40943303625 42614458875 44811470977 45622538325 46402410775 47070872875 48842952795 50114603637 50836542705 51538821123 51705543435 52641390375 55355346501 56357253225 57614748399 58146372375 59660242425 61554218375 63871553655 65899222025 66478555845 71171159787 72387760809 73697946525 74759621625 76037563875 81404921325 83524339395 84727571175 85898035205 86175905725 92258910835 93069978183 93928755375 96024580665 97762582125 99433737375 104663470275 106452589425 110797593075 118618599645 120257249287 120646268015 122829910875 127843376625 134434412931 135674868875 136867614975 139207232325 141212618625 146528858385 154616463369 155116630305 160040967775 166066039503 172844245197 174439117125 177420982375 178980727275 184662655125 191614660965 197697666075 217163282427 223334891533 224057354885 228112691625 232012053875 244214763975 250573018185 254182713525 257694105615 258527717175 276776732505 281786266125 288073741995 292053319697 298301212125 313680296839 319357768275 329496110125 332392779225 355855798935 360771747861 361938804045 368489732625 403303238793 407024606625 417621696975 423637855875 429490176025 430879528625 461294554175 463849390107 465349890915 480122903325 498198118509 523317351375 532262947125 553987965375 593092998225 601286246435 603231340075 651489847281 670004674599 672172064655 684338074875 696036161625 732644291925 773082316845 775583151525 800204838875 830330197515 841800745009 864221225985 876159959091 894903636375 941040890517 958073304825 988488330375 1082315243583 1085816412135 1116674457665 1120286774425 1209909716379 1221073819875 1252865090925 1270913567625 1288470528075 1292638585875 1383883662525 1440368709975 1460266598485 1563344240731 1568401484195 1596788841375 1661963896125 1779278994675 1803858739305 1809694020225 2010014023797 2016516193965 2044373237879 2088108484875 2147450880125 2306472770875 2319246950535 2326749454575 2400614516625 2490990592545 2525402235027 2628479877273 2823122671551 2903353589929 2965464991125 3006431232175 3016156700375 3246945730749 3257449236405 3350023372995 3360860323275 3663221459625 3796693156061 3865411584225 3877915757625 4151650987575 4209003725045 4321106129925 4380799795455 4690032722193 4705204452585 4790366524125 4964906434849 5411576217915 5429082060675 5583372288325 5601433872125 6030042071391 6049548581895 6133119713637 6264325454625 6442352640375 6919418312625 7201843549875 7301332992425 7576206705081 7816721203655 7842007420975 7885439631819 8469368014653 8710060769787 8896394973375 9019293696525 9048470101125 10050070118985 10082580969825 10221866189395 10943409685117 11390079468183 11596234752675 11633747272875 12454952962725 12627011175135 13142399386365 14070098166579 14115613357755 14310612665153 14516767949645 14894719304547 15032156160875 16234728653745 16287246182025 16750116864975 16804301616375 18399359140911 18983465780305 19327057921125 20323475129503 20758254937875 21045018625225 21605530649625 21903998977275 22728620115243 23450163610965 23526022262925 24824532174245 26130182309361 26576852092427 27057881089575 27145410303375 27916861441625 30150210356955 30247742909475 30665598568185 32830229055351 34170238404549 34754345043943 36506664962125 37881033525405 39083606018275 39210037104875 39427198159095 42210294499737 42346840073265 42931837995459 43550303848935 44684157913641 45096468482625 49357011028793 50250350594925 50412904849125 51109330946975 54717048425585 55198077422733 56950397340915 57981173763375 60970425388509 62274764813625 63135055875675 64543783653037 65711996931825 70350490832895 70578066788775 71553063325765 72583839748225 74473596522735 78390546928083 79730556277281 81173643268725 81436230910125 83750584324875 91996795704555 94917328901525 98490687166053 101617375647515 102510715213647 104263035131829 105225093126125 109519994886375 113643100576215 117250818054825 117630111314625 124122660871225 128795513986377 130650911546805 132884260462135 134052473740923 135289405447875 142264325906521 148071033086379 150751051784775 151238714547375 153327992840925 164151145276755 170851192022745 173771725219715 182911276165527 186037964646989 189405167627025 193631350959111 195418030091375 197135990795475 211051472498685 211734200366325 214659189977295 217751519244675 223420789568205 239191668831843 243280415307601 246785055143965 251251752974625 255546654734875 273585242127925 275990387113665 284751986704575 295472061498159 304852126942545 312789105395487 315675279378375 322718918265185 328559984659125 345499077201551 351752454164475 352890333943875 357765316628825 362919198741125 372367982613675 386386541959131 391952734640415 398652781386405 405868216343625 426792977719563 444213099259137 451806485571259 459983978522775 474586644507625 492453435830265 508086878237575 512553576068235 521315175659145 548733828496581 558113893940967 568215502881075 580894052877333 586254090274125 620613304356125 643977569931885 653254557734025 664421302310675 670262368704615 711321629532605 717575006495529 729841245922803 740355165431895 753755258923875 766639964204625 820755726383775 839069187489481 854255960113725 868858626098575 914556380827635 930189823234945 938367316186461 947025838135125 968156754795555 985679953977375 1036497231604653 1055257362493425 1058671001831625 1073295949886475 1088757596223375 1117103947841025 1195958344159215 1216402076538005 1233925275719825 1280378933158689 1332639297777411 1355419456713777 1367926210639625 1379951935568325 1423759933522875 1477360307490795 1524260634712725 1563945526977435 1613594591325925 1674341681822901 1727495386007755 1742682158631999 1758762270822375 1788826583144125 1861839913068375 1931932709795655 1959763673202075 1993263906932025 2133964888597815 2189523737768409 2221065496295685 2259032427856295 2299919892613875 2418493540410857 2462267179151325 2517207562468443 2540434391187875 2562767880341175 2606575878295725 2743669142482905 2790569469704835 2841077514405375 2904470264386665 3109491694813959 3162645398998813 3219887849659425 3266272788670125 3322106511553375 3351311843523075 3556608147663025 3587875032477645 3649206229614015 3701775827159475 3841136799476067 4066258370141331 4103778631918875 4195345937447405 4271279800568625 4344293130492875 4572781904138175 4650949116174725 4691836580932305 4840783773977775 5023025045468703 5182486158023265 5276286812467125 5366479749432375 5585519739205125 5873484312426367 5979791720796075 6082010382690025 6169626378599125 6401894665793445 6568571213305227 6663196488887055 6777097283568885 6899759677841625 7255480621232571 7386801537453975 7551622687405329 7621303173563625 7819727634887175 8067972956629625 8371708409114505 8637476930038775 8713410793159995 9328475084441877 9487936196996439 9659663548978275 9798818366010375 9966319534660125 10669824442989075 10947618688842045 11105327481478425 11295162139281475 12092467702054285 12198775110423993 12311335895756625 12586037812342215 12813839401705875 13032879391478625 13718345712414525 13952847348524175 14522351321933325 15547458474069795 15813226994994065 16099439248297125 16756559217615375 17620452937279101 17783040738315125 17939375162388225 18246031148070075 18508879135797375 19205683997380335 20331291850706655 20976729687237025 21766441863697713 22654868062215987 22863909520690875 23254745580873625 23459182904661525 24203918869888875 25115125227343515 25912430790116325 28463808590989317 29367421562131835 29898958603980375 30410051913450125 32009473328967225 32842856066526135 33315982444435275 33885486417844425 36277403106162855 36934007687269875 37758113437026645 39098638174435875 41114390186984569 41858542045572525 43187384650193875 43567053965799975 46642375422209385 47439680984982195 48298317744891375 52861358811837303 53349122214945375 54738093444210225 55526637407392125 56475810696407375 60462338510271425 60993875552119965 62930189061711075 65299325591093139 68591728562072625 69764236742620875 72611756609666625 77737292370348975 79066134974970325 85391425772967951 88102264686395505 89696875811941125 91230155740350375 96028419986901675 101656459253533275 104883648436185125 108832209318488565 113274340311079935 117295914523307625 123343170560953707 125575626136717575 129562153950581625 142319042954946585 146837107810659175 158584076435511909 160047366644836125 164214280332630675 166579912222176375 169427432089222125 181387015530814275 188790567185133225 205571950934922845 209292710227862625 217835269828999875 233211877111046925 237198404924910975 264306794059186515 273690467221051125 302311692551357125 304969377760599825 314650945308555375 326496627955465695 370029511682861121 388686461851744875 395330674874851625 426957128864839755 440511323431977525 480142099934508375 508282296267666375 544161046592442825 566371701555399675 616715852804768535 627878130683587875 711595214774732925 734185539053295875 792920382177559545 821071401663153375 906935077654071375 943952835925666125 1027859754674614225 1110088535048583363 1166059385555234625 1185992024624554875 1321533970295932575 1524846888802999125 1632483139777328475 1850147558414305605 2134785644324198775 2202556617159887625 2720805232962214125 2831858507776998375 3083579264023842675 3557976073873664625 3964601910887797725 5139298773373071125 5550442675242916815 6607669851479662875 8162415698886642375 9250737792071528025 10673928221620993875 15417896320119213375 19823009554438988625 27752213376214584075 46253688960357640125 138761066881072920375
- Sum of all divisors σ(n): 343293396668400803040
- Sum of proper divisors (its aliquot sum) s(n): 204532329787327882665
- 138761066881072920375 is an abundant number, because the sum of its proper divisors (204532329787327882665) is greater than itself. Its abundance is 65771262906254962290
Bases of 138761066881072920375
- Binary: 11110000101101100100101011100100100000001001001001001110111001101112
- Hexadecimal: 0x785B2572404927737
- Base-36: TA8P0ZA65TN3R
Squares and roots of 138761066881072920375
- 138761066881072920375 squared (1387610668810729203752) is 19254633681973592086225730518131090140625
- 138761066881072920375 cubed (1387610668810729203753) is 2671793512114896950661158056364495594732736383532838177734375
-
The
square root of 138761066881072920375 is 11779688742.9623080163 -
The
cube root of 138761066881072920375 is 5177131.6648492933
Scales and comparisons
How big is 138761066881072920375?- 138,761,066,881,072,920,375 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,761,066,881,072,920,375 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 138761066881072920375 cubic inches would be around 431427.6 feet tall.
Recreational maths with 138761066881072920375
- 138761066881072920375 backwards is 573029270188660167831
- The number of decimal digits it has is: 21
- The sum of 138761066881072920375's digits is 90
- More coming soon!
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"Number 138761066881072920375 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138761066881072920375 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138761066881072920375/
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Numbermatics. 2024. "Number 138761066881072920375 - Facts about the integer". https://numbermatics.com/n/138761066881072920375/
The information we have on file for 138761066881072920375 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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