13009742144021586375
13,009,742,144,021,586,375 is an odd composite number composed of five prime numbers multiplied together.
What does the number 13009742144021586375 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
13009742144021586375 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13009742144021586375:
39 × 53 × 292 × 832 × 973
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 29 × 83 × 83 × 97 × 97 × 97)See below for interesting mathematical facts about the number 13009742144021586375 from the Numbermatics database.
Names of 13009742144021586375
- Cardinal: 13009742144021586375 can be written as Thirteen quintillion, nine quadrillion, seven hundred forty-two trillion, one hundred forty-four billion, twenty-one million, five hundred eighty-six thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.3009742144021586375 × 1019
Factors of 13009742144021586375
Divisors of 13009742144021586375
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 3 5 9 15 25 27 29 45 75 81 83 87 97 125 135 145 225 243 249 261 291 375 405 415 435 485 675 725 729 747 783 841 873 1125 1215 1245 1305 1455 2025 2075 2175 2187 2241 2349 2407 2425 2523 2619 2813 3375 3625 3645 3735 3915 4205 4365 6075 6225 6525 6561 6723 6889 7047 7221 7275 7569 7857 8051 8439 9409 10125 10375 10875 10935 11205 11745 12035 12125 12615 13095 14065 18225 18675 19575 19683 20169 20667 21025 21141 21663 21825 22707 23571 24153 25317 28227 30375 31125 32625 32805 33615 34445 35235 36105 36375 37845 39285 40255 42195 47045 54675 56025 58725 60175 60507 62001 63075 63423 64989 65475 68121 69803 70325 70713 72459 75951 81577 84681 91125 93375 97875 98415 100845 103335 105125 105705 108315 109125 113535 117855 120765 126585 141135 164025 168075 172225 176175 180525 181521 186003 189225 190269 194967 196425 199781 201275 204363 209409 210975 212139 217377 227853 233479 235225 244731 254043 272861 273375 280125 293625 300875 302535 310005 315375 317115 324945 327375 340605 349015 351625 353565 362295 379755 407885 423405 492075 504225 516675 528525 541575 544563 558009 567675 570807 584901 589275 599343 603825 613089 628227 632925 636417 652131 668233 683559 700437 705675 734193 762129 780947 818583 820125 840375 861125 880875 902625 907605 912673 930015 946125 951345 974835 982125 998905 1006375 1021815 1047045 1054875 1060695 1086885 1139265 1167395 1176125 1223655 1270215 1364305 1512675 1550025 1585575 1624725 1633689 1674027 1703025 1745075 1754703 1767825 1798029 1811475 1839267 1884681 1898775 1909251 1956393 2004699 2039425 2050677 2101311 2117025 2202579 2286387 2342841 2455749 2460375 2521125 2583375 2642625 2707875 2722815 2738019 2790045 2838375 2854035 2924505 2946375 2996715 3019125 3065445 3141135 3164625 3182085 3260655 3341165 3417795 3502185 3528375 3670965 3810645 3904735 4092915 4538025 4563365 4650075 4756725 4874175 4994525 5022081 5109075 5235225 5264109 5303475 5394087 5434425 5517801 5654043 5696325 5793649 5836975 5869179 6014097 6118275 6152031 6303933 6351075 6607737 6770891 6821525 6859161 7028523 7367247 7563375 7750125 7912969 7927875 8123625 8168445 8214057 8370135 8515125 8725375 8773515 8839125 8990145 9057375 9196335 9423405 9493875 9546255 9781965 10023495 10197125 10253385 10506555 10585125 11012895 11431935 11714205 12278745 13614075 13690095 13950225 14270175 14622525 14983575 15066243 15327225 15705675 15792327 15910425 16182261 16303275 16553403 16705825 16962129 17088975 17380947 17510925 17607537 18042291 18354825 18456093 18911799 19053225 19378757 19523675 19823211 20312673 20464575 20577483 21085569 22101741 22647463 22690125 22816825 23250375 23738907 23783625 24370875 24642171 24972625 25110405 25545375 26176125 26320545 26467517 26517375 26970435 27172125 27589005 28270215 28481625 28968245 29184875 29345895 30070485 30591375 30760155 31519665 31755375 33038685 33854455 34107625 34295805 35142615 36836235 39564845 40842225 41070285 41850675 43867575 44950725 45198729 45981675 47117025 47376981 47731275 48546783 48909825 50117475 50886387 51266925 52142841 52532775 52822611 54126873 55064475 55368279 56735397 57159675 58136271 58571025 59469633 60938019 61393725 61732449 63256707 64818601 66305223 67942389 68070375 68450475 69751125 71216721 71350875 73112625 73926513 74917875 75331215 75751859 76636125 78528375 78961635 79402551 79552125 80911305 81516375 82767015 83529125 84810645 85444875 86904735 87554625 88037685 90211455 91774125 92280465 94558995 95266125 96893785 97618375 99116055 101563365 102322875 102887415 105427845 110508705 113237315 114084125 118694535 123210855 125552025 131602725 132337585 134852175 135596187 137945025 141351075 144841225 145640349 146729475 150352425 152659161 153800775 156428523 157598325 158467833 162380619 165193425 169272275 170206191 171479025 174408813 175713075 178408899 182814057 184181175 185197347 189770121 194455803 197824225 198915669 203827167 204211125 205351425 209253375 213650163 219337875 221779539 224753625 225993645 227255577 229908375 235585125 236884905 238207653 238656375 242733915 244549125 250587375 254431935 256334625 260714205 262663875 264113055 270634365 275322375 276841395 283676985 285798375 290681355 292855125 297348165 304690095 306968625 308662245 316283535 324093005 331526115 339711945 342252375 356083605 369632565 376656075 378759295 394808175 397012755 404556525 413835075 424053225 434523675 436921047 440188425 451057275 457977483 461402325 469285569 472794975 484468925 487141857 495580275 507816825 510618573 514437075 523226439 527139225 535226697 548442171 552543525 561983953 566186575 569310363 583367409 593472675 596747007 611481501 616054275 627760125 640950489 656776427 658013625 661687925 665338617 674260875 677980935 681766731 689725125 706755375 714622959 724206125 728201745 733647375 751762125 763295805 767557993 769003875 782142615 787991625 792339165 811903095 825967125 846361375 851030955 857395125 872044065 878565375 892044495 914070285 920905875 925986735 948850605 972279015 989121125 994578345 1019135835 1026757125 1068250815 1108897695 1129968225 1136277885 1184424525 1191038265 1213669575 1272159675 1303571025 1310763141 1320565275 1353171825 1373932449 1384206975 1407856707 1418384925 1453406775 1461425571 1486740825 1523450475 1531855719 1543311225 1569679317 1581417675 1605680091 1620465025 1645326513 1657630575 1685951859 1698559725 1707931089 1750102227 1780418025 1790241021 1834444503 1848162825 1879739429 1883280375 1893796475 1922851467 1970329281 1974040875 1985063775 1996015851 2022782625 2045300193 2069175375 2120266125 2143868877 2172618375 2184605235 2196803911 2200942125 2255286375 2289887415 2302673979 2307011625 2346427845 2363974875 2422344625 2435709285 2477901375 2539084125 2553092865 2572185375 2616132195 2635696125 2676133485 2742210855 2762717625 2809919765 2830932875 2846551815 2916837045 2967363375 2983735035 3057407505 3080271375 3204752445 3283882135 3308439625 3326693085 3389904675 3408833655 3573114795 3641008725 3816479025 3837789965 3910713075 3932289423 3961695825 4059515475 4223570121 4255154775 4360220325 4384276713 4460222475 4570351425 4595567157 4629933675 4709037951 4744253025 4861395075 4935979539 4972891725 5057855577 5095679175 5123793267 5250306681 5341254075 5370723063 5503333509 5544488475 5639218287 5649841125 5681389425 5768554401 5910987843 5922122625 5955191325 5988047553 6068347875 6135900579 6287404297 6360798375 6431606631 6517855125 6553815705 6590411733 6602826375 6765859125 6869662245 6908021937 6921034875 7039283535 7091924625 7267033875 7307127855 7433704125 7617252375 7659278595 7716556125 7848396585 7907088375 8028400455 8102325125 8226632565 8288152875 8429759295 8492798625 8539655445 8750511135 8902090125 8951205105 9172222515 9240814125 9398697145 9468982375 9614257335 9851646405 9925318875 9980079255 10226500965 10719344385 10923026175 10984019555 11449437075 11513369895 11732139225 12178546425 12670710363 12765464325 13080660975 13152830139 13380667425 13711054275 14049598825 14127113853 14232759075 14584185225 14807938617 14918675175 15173566731 15287037525 15371379801 15750920043 16023762225 16419410675 16510000527 16633465425 16917654861 16949523375 17044168275 17305663203 17732963529 17865573975 17964142659 18205043625 18407701737 18862212891 19082395125 19188949825 19294819893 19553565375 19661447115 19771235199 19808479125 20297577375 20724065811 21117850605 21275773875 21801101625 21921383565 22301112375 22851757125 22977835785 23149668375 23545189755 23721265125 24306975375 24679897695 24864458625 25289277885 25478395875 25618966335 26251533405 26706270375 26853615315 27516667545 27722442375 28196091435 28406947125 28842772005 29554939215 29775956625 29940237765 30679502895 31437021485 32158033155 32769078525 32952058665 34348311225 34540109685 35196417675 36535639275 38012131089 38296392975 39241982925 40142002275 41133162825 42148796475 42381341559 42698277225 43752555675 44423815851 44756025525 45520700193 45861112575 46993485725 47252760129 48071286675 49258232025 49530001581 49900396275 50752964583 51132504825 51916989609 53198890587 53596721925 54512443441 54615130875 54920097775 55223105211 56586638673 57247185375 57566849475 57884459679 58660696125 59313705597 60892732125 62172197433 63353551815 63707313419 63827321625 65403304875 65764150695 66903337125 68555271375 70247994125 70635569265 71163795375 72920926125 74039693085 74593375875 75867833655 76435187625 76856899005 78754600215 80118811125 82097053375 82550002635 83167327125 84588274305 85220841375 86528316015 88664817645 89327869875 89820713295 92038508685 94311064455 95944749125 96474099465 98307235575 98856175995 103620329055 105589253025 109606917825 114036393267 114889178925 117725948775 123399488475 126446389425 127144024677 128094831675 131257667025 133271447553 134268076575 136562100579 137583337725 140980457175 141758280387 144213860025 147774696075 148590004743 149701188825 152258893749 153397514475 155750968827 157185107425 159596671761 160790165775 163537330323 163845392625 164760293325 165669315633 169759916019 171741556125 172700548425 173653379037 175982088375 177941116791 182334724613 182678196375 186516592299 190060655445 191121940257 191481964875 196209914625 200710011375 205665814125 210743982375 211906707795 213491386125 218762778375 222119079255 223780127625 227603500965 229305562875 234967428625 236263800645 240356433375 246291160125 247650007905 249501981375 253764822915 255662524125 259584948045 265994452935 267983609625 272562217205 274600488875 276115526055 282933193365 287834247375 289422298395 296568527985 310860987165 316767759075 318536567095 328820753475 353177846325 370198465425 379339168275 381432074031 384284495025 393773001075 409686301737 412750013175 422941371525 425274841161 432641580075 443324088225 445770014229 449103566475 456776681247 460192543425 471555322275 478790015283 482370497325 490611990969 491536177875 494280879975 497007946899 509279748057 518101645275 520960137111 527946265125 533823350373 547004173839 548034589125 559549776897 570181966335 573365820771 574445894625 588629743875 616997442375 632231947125 635720123385 640474158375 656288335125 666357237765 671340382875 682810502895 687916688625 704902285875 708791401935 721069300125 738873480375 742950023715 748505944125 761294468745 766987572375 778754844135 785925537125 797983358805 803950828875 817686651615 823801466625 828346578165 848799580095 863502742125 868266895185 889705583955 911673623065 932582961495 950303277225 955609701285 1059533538975 1110595396275 1138017504825 1181319003225 1229058905211 1238250039525 1268824114575 1275824523483 1297924740225 1329972264675 1362811086025 1370330043741 1380577630275 1414665966825 1436370045849 1447111491975 1471835972907 1482842639925 1491023840697 1527839244171 1554304935825 1583838795375 1592682835475 1601470051119 1641012521517 1644103767375 1678649330691 1720097462313 1765889231625 1850992327125 1896695841375 1907160370155 1921422475125 1968865005375 2048431508685 2063750065875 2114706857625 2126374205805 2163207900375 2216620441125 2228850071145 2245517832375 2283883406235 2300962717125 2357776611375 2393950076415 2411852486625 2453059954845 2471404399875 2485039734495 2546398740285 2590508226375 2604800685555 2669116751865 2735020869195 2797748884485 2850909831675 2866829103855 3178600616925 3331786188825 3414052514475 3543957009675 3687176715633 3714750118575 3806472343725 3893774220675 3989916794025 4088433258075 4110990131223 4141732890825 4243997900475 4309110137547 4341334475925 4415507918721 4448527919775 4558368115325 4583517732513 4662914807475 4751516386125 4778048506425 4804410153357 4923037564551 5035947992073 5160292386939 5287707013777 5297667694875 5552976981375 5690087524125 5906595016125 6145294526055 6191250197625 6344120572875 6379122617415 6489623701125 6649861323375 6814055430125 6851650218705 6902888151375 7073329834125 7181850229245 7235557459875 7359179864535 7414213199625 7455119203485 7639196220855 7771524679125 7963414177375 8007350255595 8205062607585 8393246653455 8600487311565 9535801850775 10242157543425 10631871029025 11061530146899 11144250355725 11419417031175 11969750382075 12265299774225 12332970393669 12425198672475 12731993701425 12927330412641 13024003427775 13246523756163 13345583759325 13675104345975 13750553197539 13988744422425 14254549158375 14334145519275 14413230460071 14769112693653 15107843976219 15480877160817 15863121041331 15893003084625 16658930944125 17070262572375 17719785048375 18435883578165 18573750592875 19032361718625 19468871103375 19949583970125 20442166290375 20554950656115 20708664454125 21219989502375 21545550687735 21706672379625 22077539593605 22242639598875 22791840576625 22917588662565 23314574037375 23890242532125 24022050766785 24615187822755 25179739960365 25801461934695 26438535068885 30726472630275 31895613087075 34258251093525 35909251146225 36795899322675 36998911181007 37275596017425 38195981104275 39739571268489 40036751277975 41025313037925 41251659592617 41966233267275 43002436557825 43239691380213 44307338080959 46442631482451 47589363123993 47679009253875 51210787717125 53159355145125 55307650734495 55721251778625 57097085155875 59848751910375 61326498871125 61664851968345 62125993362375 63659968507125 64636652063205 65120017138875 66232618780815 66727918796625 68375521729875 68752765987695 69943722112125 71670727596375 72066152300355 73845563468265 75539219881095 77404385804085 79315605206655 92179417890825 102774753280575 107727753438675 110387697968025 114587943312825 119218713805467 120110253833925 123075939113775 123754978777851 125898699801825 129007309673475 132192675344425 132922014242877 139327894447353 142768089371979 153632363151375 159478065435375 171291255467625 179546255731125 183979496613375 184994555905035 186377980087125 190979905521375 198697856342445 200183756389875 205126565189625 206258297963085 209831166336375 215012182789125 216198456901065 221536690404795 232213157412255 237946815619965 276538253672475 308324259841725 323183260316025 331163093904075 343763829938475 357656141416401 360330761501775 369227817341325 377696099405475 387021929020425 396578026033275 398766042728631 417983683342059 428304268115937 460897089454125 513873766402875 538638767193375 551938489840125 572939716564125 596093569027335 600551269169625 615379695568875 618774893889255 629493499009125 645036548367375 660963376722125 664610071214385 696639472236765 713840446859895 924972779525175 993489281712225 1031291489815425 1072968424249203 1080992284505325 1107683452023975 1161065787061275 1189734078099825 1196298128185893 1253951050026177 1284912804347811 1382691268362375 1541621299208625 1615916301580125 1655815469520375 1718819149692375 1788280707082005 1801653807508875 1846139086706625 1888480497027375 1935109645102125 1982890130166375 1993830213643155 2089918416710295 2141521340579685 2980467845136675 3093874469446275 3323050356071925 3483197361183825 3569202234299475 3588894384557679 3854738413043433 4624863897625875 4967446408561125 5156457449077125 5364842121246015 5404961422526625 5538417260119875 5805328935306375 5948670390499125 5981490640929465 6269755250130885 6424564021739055 8941403535410025 9969151068215775 10449592083551475 10707606702898425 11564215239130299 14902339225683375 15469372347231375 16615251780359625 17415986805919125 17846011171497375 17944471922788395 19273692065217165 26824210606230075 29907453204647325 31348776250654425 32122820108695275 34692645717390897 44707017677050125 49845755341078875 52247960417757375 53538033514492125 57821076195651495 89722359613941975 96368460326085825 104077937152172691 134121053031150375 149537266023236625 156743881253272125 160614100543476375 173463228586954485 289105380978257475 448611798069709875 481842301630429125 520389685760863455 867316142934772425 1445526904891287375 2601948428804317275 4336580714673862125 13009742144021586375
- Sum of all divisors σ(n): 25796056194636087360
- Sum of proper divisors (its aliquot sum) s(n): 12786314050614500985
- 13009742144021586375 is a deficient number, because the sum of its proper divisors (12786314050614500985) is less than itself. Its deficiency is 223428093407085390
Bases of 13009742144021586375
- Binary: 10110100100010111110001110001101001010011101010111100001110001112
- Hexadecimal: 0xB48BE38D29D5E1C7
- Base-36: 2QUB4P55EEHFR
Squares and roots of 13009742144021586375
- 13009742144021586375 squared (130097421440215863752) is 169253390653931383081147841971585640625
- 13009742144021586375 cubed (130097421440215863753) is 2201942969409000400915694909651848072091540386983146484375
-
The
square root of 13009742144021586375 is 3606902014.7519375571 -
The
cube root of 13009742144021586375 is 2351921.9010901379
Scales and comparisons
How big is 13009742144021586375?- 13,009,742,144,021,586,375 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,009,742,144,021,586,375 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 13009742144021586375 cubic inches would be around 195993.5 feet tall.
Recreational maths with 13009742144021586375
- 13009742144021586375 backwards is 57368512044124790031
- The number of decimal digits it has is: 20
- The sum of 13009742144021586375's digits is 72
- More coming soon!
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"Number 13009742144021586375 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 13009742144021586375 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13009742144021586375/
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Numbermatics. 2024. "Number 13009742144021586375 - Facts about the integer". https://numbermatics.com/n/13009742144021586375/
The information we have on file for 13009742144021586375 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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