138396076199096277773701125
138,396,076,199,096,277,773,701,125 is an odd composite number composed of four prime numbers multiplied together.
138396076199096277773701125 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138396076199096277773701125:
39 × 53 × 236 × 72432
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 23 × 23 × 23 × 23 × 23 × 23 × 7243 × 7243)See below for interesting mathematical facts about the number 138396076199096277773701125 from the Numbermatics database.
Names of 138396076199096277773701125
- Cardinal: 138396076199096277773701125 can be written as One hundred thirty-eight septillion, three hundred ninety-six sextillion, seventy-six quintillion, one hundred ninety-nine quadrillion, ninety-six trillion, two hundred seventy-seven billion, seven hundred seventy-three million, seven hundred one thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38396076199096277773701125 × 1026
Factors of 138396076199096277773701125
Divisors of 138396076199096277773701125
- Number of divisors d(n): 840
-
Complete list of divisors:
1 3 5 9 15 23 25 27 45 69 75 81 115 125 135 207 225 243 345 375 405 529 575 621 675 729 1035 1125 1215 1587 1725 1863 2025 2187 2645 2875 3105 3375 3645 4761 5175 5589 6075 6561 7243 7935 8625 9315 10125 10935 12167 13225 14283 15525 16767 18225 19683 21729 23805 25875 27945 30375 32805 36215 36501 39675 42849 46575 50301 54675 60835 65187 66125 71415 77625 83835 91125 98415 108645 109503 119025 128547 139725 150903 164025 166589 181075 182505 195561 198375 214245 232875 251505 273375 279841 304175 325935 328509 357075 385641 419175 452709 492075 499767 543225 547515 586683 595125 642735 698625 754515 820125 832945 839523 905375 912525 977805 985527 1071225 1156923 1257525 1399205 1499301 1520875 1629675 1642545 1760049 1785375 1928205 2095875 2263545 2460375 2498835 2518569 2716125 2737575 2933415 2956581 3213675 3470769 3772575 3831547 4164725 4197615 4497903 4562625 4889025 4927635 5280147 5356125 5784615 6287625 6436343 6996025 7496505 7555707 8148375 8212725 8800245 8869743 9641025 10412307 11317725 11494641 12494175 12592845 13493709 13687875 14667075 14782905 15840441 16068375 17353845 18862875 19157735 19309029 20823625 20988075 22489515 22667121 24445125 24638175 26400735 26609229 28923075 32181715 34483923 34980125 37482525 37778535 40481127 41063625 44001225 44348715 47521323 48205125 52061535 52461049 56588625 57473205 57927087 62470875 62964225 67468545 68001363 73335375 73914525 79202205 79827687 86769225 88125581 95788675 96545145 103451769 104940375 112447575 113335605 121443381 123190875 132003675 133046145 142563969 144615375 148035889 157383147 160908575 172419615 173781261 187412625 188892675 202405635 204004089 220006125 221743575 237606615 239483061 260307675 262305245 264376743 287366025 289635435 310355307 314821125 337342725 340006815 364330143 369572625 396011025 399138435 433846125 440627905 444107667 472149441 478943375 482725725 517258845 521343783 562237875 566678025 607216905 612012267 660018375 665230725 712819845 740179445 786915735 793130229 804542875 862098075 868906305 931065921 944463375 1012028175 1020020445 1092990429 1108717875 1188033075 1197415305 1206604127 1301538375 1311526225 1321883715 1332323001 1416448323 1436830125 1448177175 1551776535 1564031349 1686713625 1700034075 1821650715 1836036801 1980055125 1995692175 2026888363 2203139525 2220538335 2360747205 2379390687 2413628625 2586294225 2606718915 2793197763 2833390125 3036084525 3060061335 3278971287 3326153625 3564099225 3619812381 3700897225 3934578675 3965651145 3996969003 4249344969 4310490375 4344531525 4655329605 4692094047 5060140875 5100102225 5464952145 5508110403 5940165375 5987076525 6033020635 6080665089 6557631125 6609418575 6661615005 7082241615 7138172061 7240885875 7758882675 7820156745 8379593289 8500170375 9108253575 9180184005 9978460875 10134441815 10859437143 11015697625 11102691675 11803736025 11896953435 11990907009 12748034907 12931471125 13033594575 13965988815 14076282141 15180422625 15300306675 16394856435 17820496125 18099061905 18241995267 18504486125 19672893375 19828255725 19984845015 21246724845 21414516183 21722657625 23276648025 23460470235 25138779867 25500511125 27324760725 27540552015 27751894921 29935382625 30165103175 30403325445 32578311429 33047092875 33308075025 35411208075 35690860305 35972721027 38244104721 38794413375 39100783725 41897966445 42228846423 45541267875 45900920025 46618432349 50672209075 54297185715 54725985801 55513458375 59018680125 59484767175 59954535045 63740174535 64243548549 65167972875 69829944075 70381410705 75416339601 76501533375 81974282175 83255684763 90495309525 91209976335 97734934287 99141278625 99924225075 106233624225 107072580915 107918163081 114732314163 116383240125 117302351175 125693899335 126686539269 136623803625 137702760075 138759474605 139855297047 150825515875 152016627225 162891557145 164177957403 166540375125 177056040375 178454301525 179863605135 191220523605 192730645647 195503918625 209489832225 211144232115 229504600125 233092161745 249767054289 253361045375 271485928575 273629929005 293204802861 297423835875 299772675225 318700872675 321217742745 323754489243 344196942489 349149720375 351907053525 377081698005 409871410875 416278423815 419565891141 452476547625 456049881675 488674671435 492533872209 499621125375 531168121125 535362904575 539590815405 573661570815 578191936941 586511755875 628469496675 633432696345 638293583183 688513800375 693797373025 699276485235 749301162867 760083136125 814457785725 820889787015 879614408583 892271507625 899318025675 956102618025 963653228235 971263467729 1032590827467 1047449161125 1055721160575 1072223944027 1165460808725 1248835271445 1258697673423 1357429642875 1368149645025 1466024014305 1477601616627 1498863376125 1593504363375 1606088713725 1618772446215 1720984712445 1734575810823 1759535267625 1885408490025 1914880749549 2081392119075 2097829455705 2247903488601 2280249408375 2443373357175 2462669361045 2638843225749 2676814522875 2697954077025 2868307854075 2890959684705 2913790403187 3142347483375 3167163481725 3191467915915 3216671832081 3468986865125 3496382426175 3746505814335 3776093020269 4072288928625 4104448935075 4398072042915 4432804849881 4496590128375 4780513090125 4818266141175 4856317338645 5162954137335 5278605802875 5361119720135 5744642248647 5827304043625 6244176357225 6293488367115 6743710465803 6840748225125 7330120071525 7388008083135 7916529677247 8030443568625 8093862231075 8604923562225 8672879054115 9427042450125 9574403747745 9650015496243 10406960595375 10489147278525 11239517443005 11328279060807 12216866785875 12313346805225 13194216128745 13298414549643 13489770385125 14341539270375 14454798423525 14568952015935 14680752413209 15835817408625 15957339579575 16083359160405 17233926745941 17481912130875 18732529071675 18880465101345 20231131397409 20522244675375 21990360214575 22164024249405 23749589031741 24091330705875 24281586693225 25814770686675 26805598600675 28723211243235 28950046488729 31220881786125 31467441835575 33718552329015 33984837182421 36650600357625 36940040415675 39582648386235 39895243648929 40469311155375 43024617811125 43364395270575 44042257239627 47872018738725 48250077481215 51701780237823 52445736392625 56197587215025 56641395304035 60693394192227 61566734026125 65971080643725 66492072748215 72273992117625 72844760079675 73403762066045 79786697897875 80416795802025 86169633729705 86850139466187 93662645358375 94402325506725 101155656987045 101954511547263 109951801072875 110820121247025 118747945158705 121407933466125 129073853433375 132126771718881 134027993003375 143616056216175 144750232443645 155105340713469 157337209177875 168592761645075 169924185912105 182080182576681 184700202078375 197913241931175 199476218244645 216821976352875 220211286198135 239360093693625 241250387406075 258508901189115 260550418398561 280987936075125 283206976520175 303466970961135 305863534641789 329855403218625 332460363741075 337657305503807 364223800398375 367018810330225 396380315156643 402083979010125 430848168648525 434250697330935 465316022140407 472011627533625 505778284935225 509772557736315 546240547730043 554100606235125 593739725793525 660633858594405 718080281080875 723751162218225 775526703567345 781651255195683 842963808225375 849620929560525 910400912883405 917590603925367 989566209655875 997381091223225 1012971916511421 1101056430990675 1189140945469929 1206251937030375 1292544505945575 1302752091992805 1395948066421221 1416034882600875 1517334854805675 1529317673208945 1662301818705375 1688286527519035 1835094051651125 1981901575783215 2154240843242625 2171253486654675 2326580110702035 2344953765587049 2528891424676125 2548862788681575 2731202738650215 2968698628967625 3038915749534263 3303169292972025 3567422836409787 3618755811091125 3877633517836725 3908256275978415 4187844199263663 4248104647802625 4552004564417025 4587953019626835 4986905456116125 5064859582557105 5505282154953375 5945704727349645 6462722529727875 6513760459964025 6979740332106105 7034861296761147 7586674274028375 7646588366044725 7766118026587561 8441432637595175 9116747248602789 9909507878916075 10702268509229361 10856267433273375 11632900553510175 11724768827935245 12563532597790989 12744313943407875 13656013693251075 15194578747671315 16515846464860125 17837114182048935 19388167589183625 19541281379892075 20939220996318315 21104583890283441 22760022822085125 22939765098134175 23298354079762683 25324297912785525 27350241745808367 29728523636748225 32106805527688083 32568802299820125 34898701660530525 35174306483805735 38232941830223625 38830590132937805 42207163187975875 45583736243013945 49547539394580375 53511342546146805 58164502767550875 58623844139676225 62817662988954945 68280068466255375 69895062239288049 75972893738356575 82050725237425101 89185570910244675 96320416583064249 97706406899460375 104696104981591575 105522919451417205 114698825490670875 116491770398813415 126621489563927625 136751208729041835 148642618183741125 160534027638440415 174493508302652625 175871532419028675 194152950664689025 209685186717864147 227918681215069725 246152175712275303 267556712730734025 288961249749192747 293119220698381125 314088314944774725 349475311196440245 379864468691782875 410253626187125505 445927854551223375 481602082915321245 523480524907957875 527614597257086025 582458851994067075 629055560153592441 683756043645209175 738456527136825909 802670138192202075 879357662095143375 970764753323445125 1048425933589320735 1139593406075348625 1230760878561376515 1337783563653670125 1444806248745963735 1570441574723873625 1747376555982201225 1887166680460777323 2051268130935627525 2215369581410477727 2408010414576606225 2638072986285430125 2912294259970335375 3145277800767962205 3418780218226045875 3692282635684129545 4013350690961010375 5242129667946603675 5661500041382331969 6153804392806882575 6646108744231433181 7224031243729818675 8736882779911006125 9435833402303886615 10256340654678137625 11076847907052388635 12040052072883031125 15726389003839811025 16984500124146995907 18461413178420647725 26210648339733018375 28307500206911659845 30769021964034412875 33230543721157165905 36120156218649093375 47179167011519433075 50953500372440987721 55384239535261943175 78631945019199055125 84922500620734979535 92307065892103238625 141537501034558299225 152860501117322963163 166152718605785829525 235895835057597165375 254767501862204938605 276921197676309715875 424612503103674897675 707687505172791496125 764302505586614815815 830763593028929147625 1273837509311024693025 2123062515518374488375 3821512527933074079075 6369187546555123465125 19107562639665370395375
- Sum of all divisors σ(n): 138414368403865008725462406
- Sum of proper divisors (its aliquot sum) s(n): 18292204768730951761281
- 138396076199096277773701125 is a deficient number, because the sum of its proper divisors (18292204768730951761281) is less than itself. Its deficiency is 138377783994327546821939844
Bases of 138396076199096277773701125
- Binary: 1110010011110101000001001010010111011001101100010000101010110111111110111010000000001012
- Hexadecimal: 0x727A8252ECD8855BFDD005
- Base-36: HE0MAH9FUICJNW7B9
Squares and roots of 138396076199096277773701125
- 138396076199096277773701125 squared (1383960761990962777737011252) is 19153473907306063219811831216913756595036680826265625
- 138396076199096277773701125 cubed (1383960761990962777737011253) is 2650765634352932242010227495127183811501642171411892570190319122125768611328125
-
The
square root of 138396076199096277773701125 is 11764186168158.6915361741 -
138396076199096277773701125 is a
perfect cube number . Itscube root is 517258845
Scales and comparisons
How big is 138396076199096277773701125?- 138,396,076,199,096,277,773,701,125 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,396,076,199,096,277,773,701,125 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 138396076199096277773701125 cubic inches would be around 43104903.8 feet tall.
Recreational maths with 138396076199096277773701125
- 138396076199096277773701125 backwards is 521107377772690991670693831
- The number of decimal digits it has is: 27
- The sum of 138396076199096277773701125's digits is 126
- More coming soon!
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The information we have on file for 138396076199096277773701125 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 138396076199096277773701125, math, Factors of 138396076199096277773701125, curriculum, school, college, exams, university, Prime factorization of 138396076199096277773701125, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight septillion, three hundred ninety-six sextillion, seventy-six quintillion, one hundred ninety-nine quadrillion, ninety-six trillion, two hundred seventy-seven billion, seven hundred seventy-three million, seven hundred one thousand, one hundred twenty-five.