138377339776026751093120
138,377,339,776,026,751,093,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 138377339776026751093120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138377339776026751093120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138377339776026751093120:
27 × 5 × 7 × 172 × 312 × 105458812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 17 × 31 × 31 × 10545881 × 10545881)See below for interesting mathematical facts about the number 138377339776026751093120 from the Numbermatics database.
Names of 138377339776026751093120
- Cardinal: 138377339776026751093120 can be written as One hundred thirty-eight sextillion, three hundred seventy-seven quintillion, three hundred thirty-nine quadrillion, seven hundred seventy-six trillion, twenty-six billion, seven hundred fifty-one million, ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3837733977602675109312 × 1023
Factors of 138377339776026751093120
Divisors of 138377339776026751093120
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 31 32 34 35 40 56 62 64 68 70 80 85 112 119 124 128 136 140 155 160 170 217 224 238 248 272 280 289 310 320 340 434 448 476 496 527 544 560 578 595 620 640 680 868 896 952 961 992 1054 1085 1088 1120 1156 1190 1240 1360 1445 1736 1904 1922 1984 2023 2108 2170 2176 2240 2312 2380 2480 2635 2720 2890 3472 3689 3808 3844 3968 4046 4216 4340 4480 4624 4760 4805 4960 5270 5440 5780 6727 6944 7378 7616 7688 8092 8432 8680 8959 9248 9520 9610 9920 10115 10540 10880 11560 13454 13888 14756 15232 15376 16184 16337 16864 17360 17918 18445 18496 19040 19220 19840 20230 21080 23120 26908 27776 29512 30752 32368 32674 33635 33728 34720 35836 36890 36992 38080 38440 40460 42160 44795 46240 53816 59024 61504 62713 64736 65348 67270 67456 69440 71672 73780 76160 76880 80920 81685 84320 89590 92480 107632 114359 118048 123008 125426 129472 130696 134540 138880 143344 147560 153760 161840 163370 168640 179180 184960 215264 228718 236096 250852 258944 261392 269080 277729 286688 295120 307520 313565 323680 326740 337280 358360 430528 457436 472192 501704 522784 538160 555458 571795 573376 590240 615040 627130 647360 653480 716720 861056 914872 1003408 1045568 1076320 1110916 1143590 1146752 1180480 1254260 1294720 1306960 1388645 1433440 1829744 1944103 2006816 2091136 2152640 2221832 2287180 2360960 2508520 2613920 2777290 2866880 3659488 3888206 4013632 4305280 4443664 4574360 5017040 5227840 5554580 5733760 7318976 7776412 8027264 8887328 9148720 9720515 10034080 10455680 10545881 11109160 14637952 15552824 17774656 18297440 19441030 20068160 21091762 22218320 31105648 35549312 36594880 38882060 40136320 42183524 44436640 52729405 62211296 73189760 73821167 77764120 84367048 88873280 105458810 124422592 147642334 155528240 168734096 177746560 179279977 210917620 248845184 295284668 311056480 326922311 337468192 358559954 369105835 421835240 590569336 622112960 653844622 674936384 717119908 738211670 843670480 896399885 1181138672 1244225920 1254959839 1307689244 1349872768 1434239816 1476423340 1634611555 1687340960 1792799770 2288456177 2362277344 2509919678 2615378488 2868479632 2952846680 3047759609 3269223110 3374681920 3585599540 4576912354 4724554688 5019839356 5230756976 5557679287 5736959264 5905693360 6095519218 6274799195 6538446220 6749363840 7171199080 9153824708 9449109376 10039678712 10134591641 10461513952 11115358574 11442280885 11473918528 11811386720 12191038436 12549598390 13076892440 14342398160 15238798045 18307649416 20079357424 20269183282 20923027904 21334317263 22230717148 22884561770 22947837056 23622773440 24382076872 25099196780 26153784880 27788396435 28684796320 30477596090 36615298832 38903755009 40158714848 40538366564 41846055808 42668634526 44461434296 45769123540 47245546880 48764153744 50198393560 50672958205 52307569760 55576792870 57369592640 60955192180 70942141487 73230597664 77807510018 80317429696 81076733128 85337269052 88922868592 91538247080 94480547879 97528307488 100396787120 101345916410 104615139520 106671586315 111153585740 114739185280 121910384360 141884282974 146461195328 155615020036 160634859392 162153466256 170674538104 172288057897 177845737184 183076494160 188961095758 194518775045 195056614976 200793574240 202691832820 209230279040 213343172630 222307171480 243820768720 283768565948 292922390656 311230040072 324306932512 341349076208 344576115794 354710707435 355691474368 366152988320 377922191516 389037550090 390113229952 401587148480 405383665640 426686345260 444614342960 472402739395 487641537440 567537131896 622460080144 648613865024 661363835153 682698152416 689152231588 709421414870 711382948736 732305976640 755844383032 778075100180 803174296960 810767331280 853372690520 861440289485 889228685920 944805478790 975283074880 1135074263792 1206016405279 1244920160288 1297227730048 1322727670306 1365396304832 1378304463176 1418842829740 1464611953280 1511688766064 1556150200360 1621534662560 1706745381040 1722880578970 1778457371840 1889610957580 1950566149760 2270148527584 2412032810558 2489840320576 2645455340612 2730792609664 2756608926352 2837685659480 2928896984249 3023377532128 3112300400720 3243069325120 3306819175765 3413490762080 3445761157940 3556914743680 3779221915160 4540297055168 4824065621116 4979680641152 5290910681224 5513217852704 5675371318960 5857793968498 6030082026395 6046755064256 6224600801440 6486138650240 6613638351530 6826981524160 6891522315880 7558443830320 9080594110336 9648131242232 10581821362448 11026435705408 11350742637920 11715587936996 12060164052790 12093510128512 12449201602880 13227276703060 13653963048320 13783044631760 14644484921245 15116887660640 19296262484464 20502278889743 21163642724896 22052871410816 22701485275840 23431175873992 24120328105580 24898403205760 26454553406120 27566089263520 29288969842490 30233775321280 38592524968928 41004557779486 42327285449792 45402970551680 46862351747984 48240656211160 52909106812240 55132178527040 58577939684980 60467550642560 77185049937856 82009115558972 84654570899584 93724703495968 96481312422320 102511394448715 105818213624480 110264357054080 111215606066161 117155879369960 154370099875712 164018231117944 187449406991936 192962624844640 205022788897430 211636427248960 222431212132322 234311758739920 328036462235888 374898813983872 385925249689280 410045577794860 423272854497920 444862424264644 468623517479840 556078030330805 656072924471776 771850499378560 778509242463127 820091155589720 889724848529288 937247034959680 1112156060661610 1312145848943552 1557018484926254 1640182311179440 1779449697058576 1874494069919360 1890665303124737 2224312121323220 2624291697887104 3114036969852508 3280364622358880 3447683788050991 3558899394117152 3781330606249474 3892546212315635 4448624242646440 6228073939705016 6560729244717760 6895367576101982 7117798788234304 7562661212498948 7785092424631270 8897248485292880 9453326515623685 12456147879410032 13121458489435520 13234657121873159 13790735152203964 14235597576468608 15125322424997896 15570184849262540 17238418940254955 17794496970585760 18906653031247370 24133786516356937 24912295758820064 26469314243746318 27581470304407928 30250644849995792 31140369698525080 32141310153120529 34476837880509910 35588993941171520 37813306062494740 48267573032713874 49824591517640128 52938628487492636 55162940608815856 58610624396866847 60501289699991584 62280739397050160 64282620306241058 66173285609365795 68953675761019820 71177987882343040 75626612124989480 96535146065427748 99649183035280256 105877256974985272 106878197429580721 110325881217631712 117221248793733694 120668932581784685 121002579399983168 124561478794100320 128565240612482116 132346571218731590 137907351522039640 151253224249978960 160706550765602645 193070292130855496 211754513949970544 213756394859161442 220651762435263424 224989171071843703 234442497587467388 241337865163569370 242005158799966336 249122957588200640 257130481224964232 264693142437463180 275814703044079280 293053121984334235 302506448499957920 321413101531205290 386140584261710992 410274370778067929 423509027899941088 427512789718322884 441303524870526848 449978342143687406 468884995174934776 482675730327138740 498245915176401280 514260962449928464 529386284874926360 534390987147903605 551629406088158560 586106243968668470 605012896999915840 642826203062410580 748147382007065047 772281168523421984 820548741556135858 847018055799882176 855025579436645768 899956684287374812 937769990349869552 965351460654277480 996380614746736399 1028521924899856928 1058772569749852720 1068781974295807210 1103258812176317120 1124945855359218515 1172212487937336940 1210025793999831680 1285652406124821160 1496294764014130094 1544562337046843968 1641097483112271716 1694036111599764352 1710051158873291536 1799913368574749624 1816929356302872257 1875539980699739104 1930702921308554960 1992761229493472798 2051371853890339645 2057043849799713856 2117545139499705440 2137563948591614420 2206517624352634240 2249891710718437030 2344424975874673880 2571304812249642320 2992589528028260188 3089124674093687936 3282194966224543432 3420102317746583072 3599826737149499248 3633858712605744514 3740736910035325235 3751079961399478208 3861405842617109920 3985522458986945596 4102743707780679290 4114087699599427712 4235090278999410880 4275127897183228840 4499783421436874060 4688849951749347760 4981903073733681995 5142609624499284640 5985179056056520376 6564389932449086864 6840204635493166144 6974664303227154793 7199653474298998496 7267717425211489028 7481473820070650470 7502159922798956416 7722811685234219840 7971044917973891192 8205487415561358580 8470180557998821760 8550255794366457680 8999566842873748120 9084646781514361285 9377699903498695520 9963806147467363990 10285219248998569280 11970358112113040752 12718505494120105799 13128779864898173728 13680409270986332288 13949328606454309586 14399306948597996992 14535434850422978056 14962947640141300940 15445623370468439680 15942089835947782384 16410974831122717160 17100511588732915360 17999133685747496240 18169293563028722570 18755399806997391040 19927612294934727980 20570438497997138560 23940716224226081504 25437010988240211598 26257559729796347456 27898657212908619172 28798613897195993984 29070869700845956112 29925895280282601880 30887799057148828369 31884179671895564768 32821949662245434320 34201023177465830720 34873321516135773965 35998267371494992480 36338587126057445140 37510799613994782080 39855224589869455960 47881432448452163008 50874021976480423196 52515119459592694912 55797314425817238344 58141739401691912224 59851790560565203760 61775598114297656738 63592527470600528995 63768359343791129536 65643899324490868640 68402046354931661440 69746643032271547930 71996534742989984960 72677174252114890280 79710449179738911920 95762864896904326016 101748043952960846392 111594628851634476688 116283478803383824448 119703581121130407520 123551196228595313476 127185054941201057990 127536718687582259072 131287798648981737280 139493286064543095860 143993069485979969920 145354348504229780560 154438995285744141845 159420898359477823840 203496087905921692784 216214593400041798583 223189257703268953376 232566957606767648896 239407162242260815040 247102392457190626952 254370109882402115980 262575597297963474560 278986572129086191720 290708697008459561120 308877990571488283690 318841796718955647680 406992175811843385568 432429186800083597166 446378515406537906752 478814324484521630080 494204784914381253904 508740219764804231960 557973144258172383440 581417394016919122240 617755981142976567380 637683593437911295360 813984351623686771136 864858373600167194332 892757030813075813504 988409569828762507808 1017480439529608463920 1081072967000208992915 1115946288516344766880 1162834788033838244480 1235511962285953134760 1627968703247373542272 1729716747200334388664 1976819139657525015616 2034960879059216927840 2162145934000417985830 2231892577032689533760 2471023924571906269520 3459433494400668777328 3953638279315050031232 4069921758118433855680 4324291868000835971660 4463785154065379067520 4942047849143812539040 6918866988801337554656 8139843516236867711360 8648583736001671943320 9884095698287625078080 13837733977602675109312 17297167472003343886640 19768191396575250156160 27675467955205350218624 34594334944006687773280 69188669888013375546560 138377339776026751093120
- Sum of all divisors σ(n): 414987309343126548058320
- Sum of proper divisors (its aliquot sum) s(n): 276609969567099796965200
- 138377339776026751093120 is an abundant number, because the sum of its proper divisors (276609969567099796965200) is greater than itself. Its abundance is 138232629791073045872080
Bases of 138377339776026751093120
- Binary: 111010100110101110011010110111101101110111010100001100011010101001001100000002
- Hexadecimal: 0x1D4D735BDBBA86354980
- Base-36: MJ7I5KHUN3MEVLS
Squares and roots of 138377339776026751093120
- 138377339776026751093120 squared (1383773397760267510931202) is 19148288163489955220380092027503223114911334400
- 138377339776026751093120 cubed (1383773397760267510931203) is 2649689177328520809133311067932247259870844720705004223967077859328000
-
The
square root of 138377339776026751093120 is 371991047978.3441658153 -
The
cube root of 138377339776026751093120 is 51723550.1327711413
Scales and comparisons
How big is 138377339776026751093120?- 138,377,339,776,026,751,093,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,377,339,776,026,751,093,120 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 138377339776026751093120 cubic inches would be around 4310295.8 feet tall.
Recreational maths with 138377339776026751093120
- 138377339776026751093120 backwards is 021390157620677933773831
- The number of decimal digits it has is: 24
- The sum of 138377339776026751093120's digits is 100
- More coming soon!
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The information we have on file for 138377339776026751093120 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 138377339776026751093120, math, Factors of 138377339776026751093120, curriculum, school, college, exams, university, Prime factorization of 138377339776026751093120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, three hundred seventy-seven quintillion, three hundred thirty-nine quadrillion, seven hundred seventy-six trillion, twenty-six billion, seven hundred fifty-one million, ninety-three thousand, one hundred twenty.