138007097938521901375
138,007,097,938,521,901,375 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138007097938521901375 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
138007097938521901375 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138007097938521901375:
53 × 113 × 132 × 172 × 198
(5 × 5 × 5 × 11 × 11 × 11 × 13 × 13 × 17 × 17 × 19 × 19 × 19 × 19 × 19 × 19 × 19 × 19)See below for interesting mathematical facts about the number 138007097938521901375 from the Numbermatics database.
Names of 138007097938521901375
- Cardinal: 138007097938521901375 can be written as One hundred thirty-eight quintillion, seven quadrillion, ninety-seven trillion, nine hundred thirty-eight billion, five hundred twenty-one million, nine hundred one thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38007097938521901375 × 1020
Factors of 138007097938521901375
Divisors of 138007097938521901375
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 5 11 13 17 19 25 55 65 85 95 121 125 143 169 187 209 221 247 275 289 323 325 361 425 475 605 715 845 935 1045 1105 1235 1331 1375 1445 1573 1615 1625 1805 1859 2057 2125 2299 2375 2431 2717 2873 3025 3179 3211 3553 3575 3757 3971 4199 4225 4675 4693 5225 5491 5525 6137 6175 6655 6859 7225 7865 8075 9025 9295 10285 11495 12155 13585 14365 15125 15895 16055 17303 17765 17875 18785 19855 20449 20995 21125 22627 23375 23465 25289 26125 26741 27455 27625 29887 30685 30875 31603 33275 34295 34969 35321 36125 39083 39325 40375 41327 43681 45125 46189 46475 48841 51425 51623 54587 57475 60401 60775 61009 67507 67925 71383 71825 75449 79475 79781 80275 86515 88825 89167 93925 99275 102245 104329 104975 113135 116603 117325 126445 130321 133705 137275 149435 153425 158015 166375 171475 174845 176605 195415 196625 206635 218405 224939 230945 232375 244205 257125 258115 272935 287375 294151 302005 303875 305045 328757 337535 339625 347633 356915 359125 377245 384659 388531 397375 398905 401375 429913 432575 444125 445835 454597 469625 480491 496375 508079 511225 521645 524875 537251 565675 567853 583015 586625 600457 632225 651605 664411 668525 671099 686375 742577 747175 767125 785213 790075 829939 857375 874225 877591 883025 927979 977075 980837 1033175 1037153 1092025 1124695 1147619 1154725 1159171 1221025 1282633 1290575 1356277 1364675 1433531 1470755 1510025 1515839 1525225 1643785 1687675 1694173 1738165 1784575 1886225 1923295 1942655 1982251 1994525 2149565 2162875 2215457 2229175 2272985 2402455 2476099 2540395 2556125 2608225 2686255 2828375 2839265 2915075 3002285 3161125 3258025 3322055 3342625 3355495 3712885 3735875 3823963 3926065 3950375 4149695 4273841 4371125 4387955 4415125 4639895 4885375 4904185 5000567 5165875 5185765 5460125 5588869 5623475 5738095 5773625 5795855 5909761 6105125 6246383 6413165 6452875 6605027 6781385 6823375 7167655 7308521 7353775 7382089 7550125 7579195 7626125 8168347 8218925 8438375 8470865 8637343 8690825 8922875 9129329 9431125 9616475 9653501 9713275 9911255 9972625 10207769 10747825 10789207 11077285 11145875 11364925 11408683 12012275 12380495 12623809 12701975 12750881 13041125 13431275 14108963 14196325 14575375 14919047 15011425 15768841 16290125 16610275 16674229 16777475 17631601 18564425 18635903 19119815 19630325 19705907 20748475 21369205 21804761 21939775 22024249 23199475 24370027 24520925 25002835 25769263 25928825 27237089 27944345 28117375 28690475 28800941 28979275 29548805 31231915 32065825 32189287 33025135 33906925 35838275 36542605 36768875 36910445 37662769 37895975 40841735 41094625 42093683 42354325 43186715 43454125 45646645 47045881 48082375 48267505 48566375 49556275 51038845 53739125 53946035 55386425 56824625 57043415 60061375 61902475 63119045 63509875 63754405 65007371 67156375 70544815 70981625 72655297 74595235 75057125 78844205 81202979 83051375 83371145 83887375 88158005 92822125 93179515 95010773 95599075 98151625 98529535 103742375 106188511 106846025 109023805 109698875 110121245 112285459 115997375 118681277 121850135 122604625 125014175 125495513 128846315 129644125 136185445 138861899 139721725 140259691 143452375 144004705 144896375 147744025 155198593 156159575 160329125 160946435 164109517 165125675 169534625 173457251 179191375 182713025 183416519 184552225 188313845 189479875 193947611 204208675 204994933 210468415 211771625 215933575 216764977 228233225 235229405 239852371 241337525 242266739 247781375 255194225 268070297 269730175 276932125 283461893 285217075 299607979 309512375 315595225 316810351 318772025 325036855 335000419 352724075 354082157 363276485 372976175 374412233 394221025 406014895 414290459 416855725 418460731 440790025 463030513 465897575 475053865 477995375 489615997 492647675 517504691 530942555 534230125 545119025 547217879 550606225 561427295 593406385 609250675 611596453 625070875 627477565 644231575 680927225 694309495 698608625 701298455 715592611 720023525 738720125 775992965 780797875 799779977 804732175 820547585 825628375 867286255 893871739 913565125 917082595 922761125 941569225 969738055 1021043375 1024974665 1052342075 1079667875 1083824885 1141166125 1176147025 1199261855 1206687625 1211333695 1235140049 1275971125 1340351485 1348650875 1380450643 1417309465 1426085375 1498039895 1542856601 1577976125 1584051755 1593860125 1625184275 1675002095 1763620375 1770410785 1805204687 1816382425 1864880875 1872061165 1971105125 2017581709 2030074475 2071452295 2084278625 2092303655 2133423721 2203950125 2254944263 2315152565 2329487875 2375269325 2384414747 2448079985 2463238375 2587523455 2638376081 2654712775 2664934129 2725595125 2736089395 2753031125 2807136475 2948773267 2967031925 3046253375 3057982265 3118080823 3137387825 3221157875 3295687769 3404636125 3471547475 3484913861 3506492275 3577963055 3600117625 3685004609 3879964825 3894903727 3998899885 4023660875 4102737925 4118534563 4336431275 4469358695 4557195049 4585412975 4603068041 4707846125 4848690275 5093335643 5124873325 5261710375 5385775967 5419124425 5692551601 5880735125 5996309275 6019396669 6056668475 6175700245 6365007961 6701757425 6727560983 6902253215 7086547325 7113832427 7490199475 7714283005 7871518721 7920258775 7950753889 8125921375 8375010475 8797579747 8852053925 9026023435 9081912125 9302703943 9360305825 9832589129 10087908545 10150372375 10357261475 10397139701 10461518275 10667118605 11274721315 11575762825 11620332607 11876346625 11922073735 12240399925 12937617275 13191880405 13273563875 13324670645 13596259609 13680446975 14035682375 14743866335 14835159625 15195819563 15289911325 15590404115 15686939125 16478438845 16983563041 17357737375 17424569305 17532461375 17889815275 18425023045 19399824125 19474518635 19994499425 20513689625 20592672815 21682156375 22346793475 22785975245 22927064875 23015340205 23467660931 24243451375 25466678215 25624366625 26228562217 26928879835 27095622125 28462758005 29314275419 29981546375 30096983345 30283342375 30878501225 31825039805 33508787125 33637804915 34298889053 34511266075 35432736625 35569162135 37450997375 38334052471 38571415025 39357593605 39601293875 39753769445 40535050699 41875052375 42843940997 43987898735 44260269625 45130117175 45303880193 46513519715 46801529125 49162945645 50129145539 50439542725 50633748451 51786307375 51985698505 52307591375 53335593025 56026692073 56373606575 57878814125 58101663035 59243535637 59610368675 61201999625 62618067611 64688086375 65959402025 66213363359 66623353225 67981298045 68402234875 70015087571 73719331675 74003170813 75979097815 76449556625 77952020575 78252156697 82392194225 84917815205 86586705931 87122846525 87458292779 89449076375 92125115225 96773377217 97372593175 99972497125 102329743373 102963364075 108158480419 111733967375 113929876225 114368536711 115076701025 117338304655 120935151259 127333391075 127823658677 131142811085 134644399175 135162816113 142313790025 146571377095 149558855699 150484916725 151064323891 154392506125 159125199025 167154015193 168189024575 171494445265 172556330375 176751374917 177845810675 186819193451 191670262355 192857075125 196787968025 197545654319 198768847225 202675253495 214219704985 219939493675 220786319533 225650585875 226519400965 232567598575 245814728225 250645727695 252197713625 253168742255 258328932571 259928492525 266677965125 280133460365 281868032875 288720571697 290508315175 296217678185 298051843375 313090338055 329797010125 331066816795 333116766125 339906490225 350075437855 368596658375 370015854065 379895489075 389760102875 391260783485 411960971125 424589076025 432933529655 435614232625 437291463895 445885557689 460625576125 483866886085 486862965875 498342682123 511648716865 514816820375 540792402095 556971232961 569649381125 571842683555 575383505125 586691523275 604675756295 636666955375 639118293385 651678892007 655714055425 673221995875 675814080565 711568950125 728346996949 732856885475 747794278495 752424583625 755321619455 770165963281 795625995125 814034878943 835770075965 840945122875 857472226325 860773723667 883756874585 889229053375 934095967255 952453765241 958351311775 962041220569 983939840125 987728271595 993844236125 1013376267475 1064507149387 1071098524925 1099697468375 1103931597665 1125627177103 1132597004825 1162837992875 1189743284609 1229073641125 1253228638475 1258053903821 1265843711275 1291644662855 1299642462625 1330286663849 1400667301825 1406060245447 1443602858485 1452541575875 1481088390925 1486790977243 1565451690275 1645147412689 1655334083975 1661707562801 1699532451125 1750377189275 1838694167123 1850079270325 1899477445375 1944265124087 1956303917425 2055011127961 2122945380125 2164667648275 2173002197509 2186457319475 2229427788445 2297767873921 2419334430425 2428649514863 2491713410615 2558243584325 2568093506147 2703962010475 2784856164805 2841618258281 2859213417775 2870222153929 2933457616375 3023378781475 3175926288667 3195591466925 3258394460035 3278570277125 3358276123423 3379070402825 3641734984745 3664284427375 3738971392475 3753367432061 3776608097275 3850829816405 4070174394715 4178850379825 4287361131625 4303868618335 4418784372925 4670479836275 4762268826205 4791756558875 4810206102845 4908249718849 4938641357975 5066881337375 5322535746935 5355492624625 5519657988325 5628135885515 5662985024125 5948716423045 6266143192375 6290269519105 6329218556375 6458223314275 6651433319245 7003336509125 7030301227235 7218014292425 7405441954625 7433954886215 7827258451375 8225737063445 8276670419875 8308537814005 8471825596091 8751885946375 9193470835615 9250396351625 9468510960337 9721325620435 9781519587125 10275055639805 10582453426259 10823338241375 10865010987545 10932286597375 11147138942225 11488839369605 12096672152125 12143247574315 12381898948133 12458567053075 12791217921625 12840467530735 13519810052375 13838592942031 13924280824025 14208091291405 14296067088875 14351110769645 14633153302339 15116893907375 15466662699917 15879631443335 15977957334625 16291972300175 16354700749673 16791380617115 16895352014125 18096621539579 18208674923725 18278783190811 18694856962375 18766837160305 18883040486375 19254149082025 20225635838353 20350871973575 20894251899125 21386916364957 21519343091675 22093921864625 22605122407571 23352399181375 23811344131025 23903024172599 24051030514225 24541248594245 24693206789875 25275446613131 26612678734675 26715144663493 27598289941625 28140679427575 28249028567617 29743582115225 31257800841091 31451347595525 31572443693219 32291116571375 33257166596225 34935189175337 35151506136175 36090071462125 36941037357653 37169774431075 41128685317225 41287041752671 41542689070025 42359127980455 43657589604499 45967354178075 47342554801685 48606628102175 48793776616793 51375278199025 52912267131295 53990746907339 54325054937725 55735694711125 57444196848025 60716237871575 61909494740665 62292835265375 63807246345037 64202337653675 69192964710155 69621404120125 71040456457025 71755553848225 73165766511695 77333313499585 79398157216675 81459861500875 81773503748365 83956903085575 90483107697895 91043374618625 91393915954055 93834185801525 96270745410125 101128179191765 101754359867875 106934581824785 107596715458375 113025612037855 119056720655125 119515120862995 120255152571125 122706242971225 126377233065655 133063393673375 133575723317465 140703397137875 141245142838085 148717910576125 156289004205455 157256737977625 157862218466095 160964686325729 166285832981125 174675945876685 175757530680875 179901708246403 184705186788265 185848872155375 201066615098921 205643426586125 206435208763355 207713445350125 211795639902275 218287948022495 229836770890375 235256080014527 236712774008425 243033140510875 243968883083965 256876390995125 262933265898589 264561335656475 269953734536695 271625274688625 278029912744441 287220984240125 293866591298423 303581189357875 309547473703325 310739314243787 319036231725185 321011688268375 343835809252001 345964823550775 347296880625409 355202282285125 358777769241125 365828832558475 384287080928707 386666567497925 396990786083375 406351410934183 408867518741825 419784515427875 452415538489475 454157459279381 456969579770275 469170929007625 480233485649489 505640895958825 534672909123925 536731542784723 565128060189275 593898215980729 597575604314975 613531214856125 631886165328275 667878616587325 701879709795407 706225714190425 781445021027275 789311092330475 804823431628645 829494202485481 873379729383425 899508541232015 923525933941325 1005333075494605 1032176043816775 1058978199511375 1091439740112475 1176280400072635 1183563870042125 1219844415419825 1314666329492945 1322806678282375 1349768672683475 1390149563722205 1469332956492115 1547737368516625 1553696571218935 1595181158625925 1719179046260005 1729824117753875 1736484403127045 1829144162792375 1921435404643535 1933332837489625 2031757054670915 2044337593709125 2262077692447375 2270787296396905 2284847898851375 2401167428247445 2528204479794125 2673364545619625 2683657713923615 2825640300946375 2969491079903645 2987878021574875 3058329040188851 3159430826641375 3339393082936625 3418132456681657 3509398548977035 3531128570952125 3820265686879499 3907225105136375 3946555461652375 4024117158143225 4147471012427405 4366898646917125 4469865520276013 4497542706160075 4617629669706625 4995732052073191 5026665377473025 5160880219083875 5282568342144379 5457198700562375 5881402000363175 5904046970631953 6099222077099125 6532880375788019 6573331647464725 6748843363417375 6950747818611025 7346664782460575 7720676807749477 7768482856094675 7975905793129625 8595895231300025 8682422015635225 9124436227340291 9607177023217675 10158785273354575 11353936481984525 12005837141237225 13418288569618075 14847455399518225 15291645200944255 17090662283408285 17546992744885175 19101328434397495 20120585790716125 20737355062137025 22349327601380065 22487713530800375 24978660260365955 25133326887365125 26412841710721895 29407010001815875 29520234853159765 32664401878940095 32866658237323625 34753739093055125 36733323912302875 38603384038747385 38842414280473375 42979476156500125 43412110078176125 45622181136701455 48035885116088375 50793926366772875 56769682409922625 58108251763588169 60029185706186125 64944516676951483 67091442848090375 74237276997591125 76458226004721275 84927444885244247 85453311417041425 87734963724425875 95506642171987475 100368798500743201 103686775310685125 111746638006900325 124893301301829775 132064208553609475 147601174265798825 163322009394700475 193016920193736925 228110905683507275 290541258817940845 324722583384757415 382291130023606375 424637224426221235 427266557085207125 477533210859937375 501843992503716005 558733190034501625 624466506509148875 660321042768047375 738005871328994125 816610046973502375 965084600968684625 1104056783508175211 1140554528417536375 1452706294089704225 1623612916923787075 2123186122131106175 2509219962518580025 5520283917540876055 7263531470448521125 8118064584618935375 10615930610655530875 12546099812592900125 27601419587704380275 138007097938521901375
- Sum of all divisors σ(n): 230019705860009498784
- Sum of proper divisors (its aliquot sum) s(n): 92012607921487597409
- 138007097938521901375 is a deficient number, because the sum of its proper divisors (92012607921487597409) is less than itself. Its deficiency is 45994490017034303966
Bases of 138007097938521901375
- Binary: 11101111011001110111011010001100001110101000010010001001001001111112
- Hexadecimal: 0x77B3BB461D424493F
- Base-36: T4IH5ANMW5SU7
Squares and roots of 138007097938521901375
- 138007097938521901375 squared (1380070979385219013752) is 19045959081412776040191476110545226890625
- 138007097938521901375 cubed (1380070979385219013753) is 2628477540281613610615947932618745428718288794945154162109375
-
The
square root of 138007097938521901375 is 11747642228.9122297467 -
The
cube root of 138007097938521901375 is 5167737.8490492499
Scales and comparisons
How big is 138007097938521901375?- 138,007,097,938,521,901,375 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,007,097,938,521,901,375 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 138007097938521901375 cubic inches would be around 430644.8 feet tall.
Recreational maths with 138007097938521901375
- 138007097938521901375 backwards is 573109125839790700831
- The number of decimal digits it has is: 21
- The sum of 138007097938521901375's digits is 88
- More coming soon!
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"Number 138007097938521901375 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 138007097938521901375 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138007097938521901375/
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Numbermatics. 2024. "Number 138007097938521901375 - Facts about the integer". https://numbermatics.com/n/138007097938521901375/
The information we have on file for 138007097938521901375 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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