138397492711593055247125
138,397,492,711,593,055,247,125 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138397492711593055247125 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
138397492711593055247125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138397492711593055247125:
53 × 75 × 133 × 473 × 6613
(5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 47 × 47 × 47 × 661 × 661 × 661)See below for interesting mathematical facts about the number 138397492711593055247125 from the Numbermatics database.
Names of 138397492711593055247125
- Cardinal: 138397492711593055247125 can be written as One hundred thirty-eight sextillion, three hundred ninety-seven quintillion, four hundred ninety-two quadrillion, seven hundred eleven trillion, five hundred ninety-three billion, fifty-five million, two hundred forty-seven thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38397492711593055247125 × 1023
Factors of 138397492711593055247125
Divisors of 138397492711593055247125
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 5 7 13 25 35 47 49 65 91 125 169 175 235 245 325 329 343 455 611 637 661 845 875 1175 1183 1225 1625 1645 1715 2197 2209 2275 2303 2401 3055 3185 3305 4225 4277 4459 4627 5875 5915 6125 7943 8225 8281 8575 8593 10985 11045 11375 11515 12005 15275 15379 15463 15925 16121 16525 16807 21125 21385 22295 23135 28717 29575 29939 31067 31213 32389 39715 41125 41405 42875 42965 54925 55225 55601 57575 57967 60025 60151 76375 76895 77315 79625 80605 82625 84035 103259 103823 106925 107653 108241 111475 111709 112847 115675 143585 147875 149695 155335 156065 161945 198575 201019 207025 209573 214825 217469 218491 226723 274625 276125 278005 287875 289835 300125 300755 373321 384475 386575 389207 403025 403871 405769 420175 421057 436921 516295 519115 534625 538265 541205 557375 558545 564235 578375 717925 722813 726761 748475 753571 757687 776675 780325 781963 789929 809725 992875 1005095 1035125 1047865 1074125 1087345 1092455 1133615 1349699 1390025 1407133 1449175 1452217 1460149 1467011 1503775 1522283 1587061 1866605 1922375 1932875 1946035 2015125 2019355 2028845 2100875 2105285 2184605 2581475 2595575 2613247 2691325 2706025 2724449 2792725 2821175 2827097 2840383 2947399 3058447 3589625 3614065 3633805 3742375 3767855 3788435 3883375 3901625 3909815 3949645 4048625 4853173 5025475 5059691 5087327 5239325 5250323 5274997 5303809 5436725 5462275 5473741 5668075 5679973 6748495 6950125 7035665 7245875 7261085 7300745 7335055 7518875 7611415 7935305 9333025 9447893 9730175 9849931 10096775 10144225 10165519 10221043 10269077 10526425 10655981 10923025 11109427 12907375 12977875 13066235 13456625 13530125 13622245 13963625 14105875 14135485 14201915 14736995 15292235 17546087 18070325 18169025 18292729 18839275 18942175 18981937 19071143 19549075 19748225 19789679 20535287 20631793 21409129 24265865 25127375 25298455 25436635 26196625 26251615 26374985 26519045 27183625 27311375 27368705 28340375 28399865 33742475 33972211 35178325 35417837 35611289 36305425 36503725 36675275 36752261 36924979 37126663 38057075 38316187 39676525 39759811 46665125 47239465 48650875 49249655 50483875 50721125 50827595 51105215 51345385 52632125 53279905 54615125 55547135 65331175 66135251 68111225 68254199 68627003 68949517 70677425 71009575 71158633 71547301 73684975 73839649 74591867 76461175 87730435 90351625 90845125 91463645 94196375 94710875 94909685 95355715 97745375 98741125 98948395 102676435 103158965 107045645 121329325 122822609 126492275 127183175 128049103 131258075 131874925 132595225 132873559 133498001 136843525 138527753 141999325 143747009 144422551 149863903 168712375 169861055 175891625 177089185 178056445 181527125 182518625 183376375 183761305 184624895 185633315 190285375 191580935 198382625 198799055 228099131 236197325 237805477 246248275 246765181 247924859 249279023 254137975 255526075 256726925 257265827 266399525 266958731 268213309 277735675 278318677 288804781 326655875 330676255 340556125 341270995 343135015 344747585 353387125 355047875 355793165 357736505 368424875 369198245 372959335 382305875 438652175 457318225 462946757 474548425 476778575 477779393 480389021 482646619 494741975 498110431 500831107 513382175 515794825 516877543 522143069 535228225 606646625 614113045 632461375 635915875 640245515 656290375 659374625 662976125 664367795 667490005 684217625 692638765 709996625 718735045 722112755 749319515 849305275 859758263 885445925 890282225 892151039 896343721 918806525 923124475 928166575 930114913 957904675 959915437 965158489 969694271 993995275 1006229063 1049047321 1140495655 1180986625 1189027385 1231241375 1233825905 1239624295 1246395115 1270689875 1277630375 1283634625 1286329135 1331997625 1334793655 1341066545 1388678375 1391593385 1444023905 1596693917 1653381275 1664638339 1706354975 1715675075 1723737925 1727356267 1735474013 1744953161 1778965825 1788682525 1800860789 1845991225 1864796675 1868711117 1877493163 1948230739 2021633467 2193260875 2286591125 2314733785 2372742125 2383892875 2388896965 2401945105 2413233095 2473709875 2490552155 2504155535 2566910875 2578974125 2584387715 2610715345 2676141125 3070565225 3201227575 3207947353 3240627299 3321838975 3337450025 3344455751 3362723147 3463193825 3470463503 3486773017 3505817749 3593675225 3610563775 3618142801 3746597575 3754462153 4246526375 4298791315 4427229625 4451411125 4460755195 4481718605 4594032625 4615622375 4640832875 4650574565 4789523375 4799577185 4825792445 4848471355 4969976375 5031145315 5245236605 5702478275 5945136925 6018307841 6169129525 6198121475 6231975575 6245057273 6274406047 6431645675 6510804391 6673968275 6705332725 6719408059 6756109423 6787859897 6957966925 7043603441 7220119525 7343331247 7983469585 8266906375 8323191695 8531774875 8578375375 8618689625 8636781335 8677370065 8724765805 8894829125 8943412625 9004303945 9229956125 9323983375 9343555585 9387465815 9741153695 10108167335 11176857419 11573668925 11597963507 11652468373 11944484825 12009725525 12066165475 12091493869 12452760775 12520777675 12547060357 12606025523 12921938575 13053576725 13080977819 13573824707 13637615173 14151434269 15352826125 16006137875 16039736765 16203136495 16609194875 16687250125 16722278755 16813615735 17315969125 17352317515 17433865085 17529088745 17968376125 18052818875 18090714005 18732987875 18772310765 21493956575 22303775975 22408593025 22455631471 22684391093 23252872825 23411190257 23539062029 23997885925 24128962225 24242356775 24293244521 24407411119 24540724243 25155726575 25326999607 26226183025 26281235071 28512391375 29725684625 30091539205 30845647625 30990607375 31159877875 31225286365 31372030235 32158228375 32554021955 33369841375 33526663625 33597040295 33780547115 33939299485 34789834625 35218017205 36100597625 36716656235 39917347925 41615958475 42128154887 43183906675 43386850325 43623829025 43715400911 45021519725 45116025539 45362448983 45575630737 46717777925 46937329075 47035856413 47292765961 48705768475 48808007989 49305224087 50540836675 55884287095 57868344625 57989817535 58262341865 59722424125 60048627625 60330827375 60457469345 62263803875 62603888375 62735301785 63030127615 64609692875 65267883625 65404889095 67869123535 68188075865 70757171345 78238001933 80198683825 81015682475 81185744549 81567278611 83611393775 84068078675 84640457083 86761587575 87169325425 87645443725 87829422499 88242178661 90453570025 91566844733 93861553825 95016772949 95463306211 99060039883 107469782875 111518879875 112042965125 112278157355 113421955465 116264364125 117055951285 117695310145 119989429625 120644811125 121211783875 121466222605 122037055595 122703621215 125778632875 126634998035 131130915125 131406175355 150457696025 150773525591 156126431825 156860151175 157189420297 162770109775 163111784641 163878331799 164773434203 167985201475 168902735575 169696497425 170052711647 176090086025 176459721191 177288997249 183583281175 183968645497 199586739625 208079792375 210640774435 215919533375 216934251625 218119145125 218577004555 225107598625 225580127695 226812244915 227878153685 233588889625 234686645375 235179282065 236463829805 243528842375 244040039945 246526120435 252704183375 279421435475 289949087675 291311709325 294897084209 302287346725 306007806377 313676508925 315150638075 315812178773 317537142881 319029415159 327024445475 329250994891 331049361727 339345617675 340940379325 341656055923 345136568609 353785856725 391190009665 400993419125 405078412375 405928722745 407836393055 418056968875 420340393375 423202285415 433807937875 435846627125 438227218625 439147112495 441210893305 452267850125 457834223665 469307769125 475083864745 477316531055 495300199415 547666013531 561390786775 567109777325 568300211843 585279756425 588476550725 589711836779 592483199581 607331113025 610185277975 613518106075 614805957493 633174990175 634504103857 637969761229 640967913131 657030876775 665117410643 693420279181 752288480125 753867627955 780632159125 784300755875 785947101485 813850548875 815558923205 819391658995 823867171015 839926007375 844513677875 848482487125 850263558235 880450430125 882298605955 886444986245 917916405875 919843227485 1053203872175 1055414679137 1092885022775 1100325942079 1127900638475 1134061224575 1139390768425 1141782492487 1147148322593 1153414039421 1175896410325 1182319149025 1190368981529 1220200199725 1232630602175 1235218048337 1241022980743 1287780518479 1397107177375 1449745438375 1456558546625 1474485421045 1511436733625 1530039031885 1568382544625 1575753190375 1579060893865 1587685714405 1595147075795 1635122227375 1646254974455 1655246808635 1696728088375 1704701896625 1708280279615 1725682843045 1768929283625 1955950048325 2029643613725 2039181965275 2116011427075 2120453200333 2142054644639 2195735562475 2206054466525 2210685251411 2222760000167 2289171118325 2293976375483 2304756964237 2317345532089 2375419323725 2386582655275 2391592391461 2476500997075 2738330067655 2806953933875 2835548886625 2841501059215 2926398782125 2942382753625 2948559183895 2962415997905 3036655565125 3050926389875 3067590530375 3074029787465 3165874950875 3172520519285 3189848806145 3204839565655 3285154383875 3325587053215 3467101395905 3769338139775 3833662094717 3929735507425 3978101482901 4077794616025 4096958294975 4119335855075 4127982857453 4147382397067 4251317791175 4303641702451 4411493029775 4432224931225 4441528726999 4465788328603 4486775391917 4599216137425 4655821874501 4853941954267 5266019360875 5277073395685 5464425113875 5501629710395 5639503192375 5670306122875 5696953842125 5708912462435 5735741612965 5767070197105 5879482051625 5911595745125 5951844907645 6101000998625 6163153010875 6176090241685 6205114903715 6438902592395 7372427105225 7387902753959 7650195159425 7666253878127 7702281594553 7895304469325 7938428572025 7975735378975 7992477447409 8231274872275 8276234043175 8293606895977 8332582870703 8541401398075 8628414215225 8646526338359 9014463629353 9779750241625 10148218068625 10195909826375 10580057135375 10602266001665 10710273223195 10978677812375 11030272332625 11053426257055 11113800000835 11445855591625 11469881877415 11523784821185 11586727660445 11877096618625 11932913276375 11957961957305 12382504985375 13691650338275 14207505296075 14742795919475 14812079989525 14843172402331 14994382512473 15370148937325 15474796759877 15559320001169 15862602596425 15949244030725 16024197828275 16057834628381 16133298749659 16221418724623 16627935266075 16741146740227 17335506979525 18846690698875 19168310473585 19648677537125 19890507414505 20388973080125 20484791474875 20596679275375 20639914287265 20736911985335 21256588955875 21518208512255 22057465148875 22161124656125 22207643634995 22328941643015 22433876959585 22996080687125 23279109372505 24269709771335 26385366978425 27508148551975 27846710380307 28544562312175 28678708064825 28835350985525 28895880002171 29759224538225 29821692881279 29984578777763 30125491917157 30880451208425 31025574518575 31090701088993 31260518300221 32194512961975 32590753121507 36862135526125 36939513769795 38250975797125 38331269390635 38511407972765 39476522346625 39692142860125 39878676894875 39962387237045 41156374361375 41381170215875 41468034479885 41662914353515 42707006990375 43142071076125 43232631691795 45072318146765 51715319277713 53011330008325 53551366115975 53663777146889 53915971161871 55267131285275 55569000004175 55947342131863 57349409387075 57618924105925 57933638302225 58055248271839 58328080094921 59789809786525 60525684368513 63101245405471 68458251691375 71037526480375 73713979597375 74060399947625 74215862011655 74971912562365 76850744686625 77373983799385 77796600005845 79313012982125 79746220153625 80120989141375 80289173141905 80666493748295 81107093623115 83139676330375 83705733701135 86677534897625 95841552367925 99452537072525 99661300415651 103199571436325 103684559926675 103902206816317 107591042561275 107816889647701 108323577319139 108915240008183 111038218174975 111644708215075 112169384797925 112404842398667 116395546862525 117188027181589 121348548856675 131926834892125 137540742759875 139233551901535 142722811560875 143393540324125 144176754927625 144479400010855 148796122691125 149108464406395 149922893888815 150627459585785 154402256042125 155127872592875 155453505444965 156302591501105 160972564809875 162953765607535 184697568848975 191656346953175 192557039863825 194926972662149 199811936185225 202271160015197 207340172399425 208314571767575 208751850168953 209892051444341 210878443420099 216163158458975 217634907622951 218823628101547 225361590733825 228135271850549 258576596388565 265056650041625 267756830579875 268318885734445 269579855809355 276335656426375 277845000020875 279736710659315 286747046935375 288094620529625 289668191511125 290276241359195 291640400474605 298949048932625 302628421842565 315506227027355 362007234943991 371079310058275 374859562811825 375646440028223 386869918996925 388983000029225 389799524110919 391631394923041 401445865709525 403332468741475 405535468115575 406386737902873 418528668505675 423679790579591 479207761839625 497262685362625 498306502078255 515997857181625 518422799633375 519511034081585 537955212806375 539084448238505 541617886595695 544576200040915 555191090874875 558223541075375 560846923989625 562024211993335 581977734312625 585940135907945 606742744283375 696167759507675 697629102909557 722397000054275 727315447714219 745542322031975 749614469444075 753137297928925 754718227533907 758265041233973 762406680057281 777267527224825 781512957505525 786833896790669 814768828037675 820316190271123 923487844244875 958281734765875 962785199319125 974634863310745 999059680926125 1011355800075985 1036700861997125 1041572858837875 1043759250844765 1049460257221705 1054392217100495 1080815792294875 1088174538114755 1094118140507735 1126807953669125 1140676359252745 1292882981942825 1341594428672225 1347899279046775 1398683553296575 1401619565420113 1415898120106379 1451381206795975 1458202002373025 1461262951182671 1469244360110387 1513142109212825 1523444353360657 1531765396710829 1577531135136775 1810036174719955 1855396550291375 1874297814059125 1878232200141115 1934349594984625 1944915000146125 1948997620554595 1958156974615205 2007229328547625 2016662343707375 2027677340577875 2031933689514365 2092643342528375 2118398952897955 2491532510391275 2534050644607937 2597555170407925 2629525080197561 2695422241192525 2708089432978475 2722881000204575 2728596668776433 2741419764461287 2810121059966675 2844707165320111 2929700679539725 2965758534057137 3480838797538375 3488145514547785 3611985000271375 3636577238571095 3727711610159875 3748072347220375 3765686489644625 3773591137669535 3791325206169865 3812033400286405 3886337636124125 3907564787527625 3934169483953345 4073844140188375 4101580951355615 4873174316553725 4883403720366899 5056779000379925 5067393813441947 5091208133999533 5218796254223825 5247301286108525 5271961085502475 5283027592737349 5440872690573775 5470590702538675 5507837277534683 5703381796263725 6464414909714125 6707972143361125 6739496395233875 6993417766482875 7008097827100565 7079490600531895 7256906033979875 7291010011865125 7306314755913355 7346221800551935 7565710546064125 7617221766803285 7658826983554145 7887655675683875 9050180873599775 9391161000705575 9744988102772975 9790784873076025 9811336957940791 9911286840744653 10159668447571825 10228840658278697 10284710520772709 10591994764489775 10664110473524599 10722357776975803 12457662551956375 12670253223039685 12987775852039625 13147625400987805 13477111205962625 13540447164892375 13614405001022875 13642983343882165 13707098822306435 14050605299833375 14223535826600555 14648503397698625 14828792670285685 17440727572738925 18182886192855475 18406675561382927 18867955688347675 18956626030849325 19060167001432025 19100176681435031 19670847419766725 19912950157240777 20507904756778075 24365871582768625 24417018601834495 25283895001899625 25336969067209735 25456040669997665 26093981271119125 26236506430542625 26359805427512375 26415137963686745 27204363452868875 27352953512693375 27539186387673415 28516908981318625 34183826042568293 35040489135502825 35397453002659475 35471756694093629 35638456937996731 36531573779566775 36731109002759675 36981193149161443 38086108834016425 38294134917770725 38554860942742781 45250904367998875 46955805003527875 48724940513864875 48953924365380125 49056684789703955 49556434203723265 50798342237859125 51144203291393485 51423552603863545 52959973822448875 53320552367622995 53611788884879015 63351266115198425 65738127004939025 65876119574745311 68214916719410825 68535494111532175 68679358705585537 71117679133002775 71601884607950879 71992973645408963 74143963351428425 87203637863694625 90914430964277375 92033377806914635 94339778441738375 94783130154246625 95300835007160125 95500883407175155 98354237098833625 99564750786203885 102539523783890375 122085093009172475 126684845336048675 127280203349988325 128846728929680489 132075689818433725 133701236770045217 137695931938367075 139390651100685439 170919130212841465 175202445677514125 176987265013297375 177358783470468145 178192284689983655 182657868897833875 183655545013798375 184905965745807215 190430544170082125 191470674588853625 192774304713713905 239286782297978051 245283423948519775 247782171018616325 248302296858655403 255721016456967425 257117763019317725 258868352044130101 266602761838114975 268058944424395075 316756330575992125 328690635024695125 329380597873726555 341074583597054125 342677470557660875 343396793527927685 355588395665013875 358009423039754395 359964868227044815 370719816757142125 460166889034573175 461132837023217177 477504417035875775 480755510939098759 497823753931019425 501213192255656153 503950815517862741 610425465045862375 633424226680243375 636401016749941625 644233644648402445 660378449092168625 668506183850226085 688479659691835375 696953255503427195 854595651064207325 886793917352340725 890961423449918275 924529828729036075 935908657390316519 963871523568569525 1196433911489890255 1226417119742598875 1238910855093081625 1241511484293277015 1278605082284837125 1285588815096588625 1294341760220650505 1333013809190574875 1340294722121975375 1646902989368632775 1675007476085846357 1716983967639638425 1738116078010587821 1790047115198771975 1799824341135224075 1812078464308910707 2300834445172865875 2305664185116085885 2387522085179378875 2403777554695493795 2489118769655097125 2506065961278280765 2519754077589313705 3221168223242012225 3227929859162520239 3342530919251130425 3365288576573691313 3484766277517135975 4272978255321036625 4433969586761703625 4454807117249591375 4622649143645180375 4679543286951582595 4819357617842847625 5982169557449451275 6207557421466385075 6471708801103252525 6551360601732215633 8234514946843163875 8375037380429231785 8584919838198192125 8690580390052939105 8950235575993859875 8999121705676120375 9060392321544553535 11528320925580429425 12018887773477468975 12166812546074114747 12530329806391403825 12598770387946568525 16105841116210061125 16139649295812601195 16712654596255652125 16826442882868456565 17423831387585679875 22595509014137641673 23397716434757912975 23557020036015839191 29910847787247256375 31037787107331925375 32358544005516262625 32756803008661078165 41875186902146158925 43452901950264695525 45301961607722767675 57641604627902147125 60094438867387344875 60834062730370573735 62651649031957019125 62993851939732842625 80698246479063005975 84132214414342282825 85167687822518803229 112977545070688208365 116988582173789564875 117785100180079195955 158168563098963491711 163784015043305390825 209375934510730794625 217264509751323477625 226509808038613838375 304170313651852868675 403491232395315029875 420661072071711414125 425838439112594016145 564887725353441041825 588925500900395979775 790842815494817458555 818920075216526954125 1107179941692744441977 1520851568259264343375 2129192195562970080725 2824438626767205209125 2944627504501979898875 3954214077474087292775 5535899708463722209885 10645960977814850403625 19771070387370436463875 27679498542318611049425 138397492711593055247125
- Sum of all divisors σ(n): 223372789172331234508800
- Sum of proper divisors (its aliquot sum) s(n): 84975296460738179261675
- 138397492711593055247125 is a deficient number, because the sum of its proper divisors (84975296460738179261675) is less than itself. Its deficiency is 53422196250854875985450
Bases of 138397492711593055247125
- Binary: 111010100111010001011000010010111011111011001111100010001101001011011000101012
- Hexadecimal: 0x1D4E8B0977D9F11A5B15
- Base-36: MJBR9MDACAR582D
Squares and roots of 138397492711593055247125
- 138397492711593055247125 squared (1383974927115930552471252) is 19153865988855452848003756696937892494820765625
- 138397492711593055247125 cubed (1383974927115930552471253) is 2650847028591452643491623911449756065562489391401669471315316080078125
-
The
square root of 138397492711593055247125 is 372018134923.0075574693 -
The
cube root of 138397492711593055247125 is 51726060.9744440637
Scales and comparisons
How big is 138397492711593055247125?- 138,397,492,711,593,055,247,125 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,397,492,711,593,055,247,125 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 138397492711593055247125 cubic inches would be around 4310505.1 feet tall.
Recreational maths with 138397492711593055247125
- 138397492711593055247125 backwards is 521742550395117294793831
- The number of decimal digits it has is: 24
- The sum of 138397492711593055247125's digits is 103
- 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 138397492711593055247125 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 138397492711593055247125 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138397492711593055247125/
Chicago style:
Numbermatics. 2024. "Number 138397492711593055247125 - Facts about the integer". https://numbermatics.com/n/138397492711593055247125/
The information we have on file for 138397492711593055247125 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 138397492711593055247125, math, Factors of 138397492711593055247125, curriculum, school, college, exams, university, Prime factorization of 138397492711593055247125, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, three hundred ninety-seven quintillion, four hundred ninety-two quadrillion, seven hundred eleven trillion, five hundred ninety-three billion, fifty-five million, two hundred forty-seven thousand, one hundred twenty-five.