138823222285984005
138,823,222,285,984,005 is an odd composite number composed of seven prime numbers multiplied together.
138823222285984005 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138823222285984005:
33 × 5 × 72 × 112 × 792 × 1272 × 1723
(3 × 3 × 3 × 5 × 7 × 7 × 11 × 11 × 79 × 79 × 127 × 127 × 1723)See below for interesting mathematical facts about the number 138823222285984005 from the Numbermatics database.
Names of 138823222285984005
- Cardinal: 138823222285984005 can be written as One hundred thirty-eight quadrillion, eight hundred twenty-three trillion, two hundred twenty-two billion, two hundred eighty-five million, nine hundred eighty-four thousand and five.
Scientific notation
- Scientific notation: 1.38823222285984005 × 1017
Factors of 138823222285984005
Divisors of 138823222285984005
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 79 99 105 121 127 135 147 165 189 231 237 245 297 315 363 381 385 395 441 495 539 553 605 635 693 711 735 847 869 889 945 1089 1143 1155 1185 1323 1397 1485 1617 1659 1723 1815 1905 2079 2133 2205 2541 2607 2667 2695 2765 3267 3429 3465 3555 3871 4191 4235 4345 4445 4851 4977 5169 5445 5715 5929 6083 6223 6241 6615 6985 7623 7821 8001 8085 8295 8615 9559 9779 10033 10395 10665 11613 12061 12573 12705 13035 13335 14553 14931 15367 15507 16129 16335 17145 17787 18249 18669 18723 18953 19355 20955 22869 23463 24003 24255 24885 25845 28677 29337 29645 30099 30415 31115 31205 34839 36183 37719 38115 39105 40005 42581 43687 46101 46521 47795 48387 48895 50165 53361 54747 56007 56169 56859 58065 60305 62865 66913 68453 68651 70231 72765 74655 76835 77535 80645 84427 86031 88011 88935 90297 91245 93345 93615 94765 104517 107569 108549 110363 112903 114345 117315 120015 127743 131061 132671 136117 138303 143385 145161 146685 150495 160083 164241 168021 168507 170577 174195 177419 180915 188595 200739 205359 205953 208483 210693 212905 218435 218821 230505 232605 241935 253281 258093 264033 266805 270891 273735 280035 280845 284295 305809 322707 325647 331089 334565 338709 342265 343255 351155 383229 393183 398013 408351 414909 422135 430155 435483 440055 451485 468391 480557 491617 511731 522585 532257 537845 542745 551815 564515 602217 616077 617859 625449 632079 638715 655305 656463 663355 680585 691515 725805 752983 755161 759843 772541 790321 792607 800415 821205 840105 842535 852885 887095 917427 928697 952819 968121 993267 1003695 1016127 1026795 1029765 1042415 1053465 1094105 1149687 1179549 1194039 1213993 1225053 1241933 1266405 1274191 1290465 1320165 1354455 1405173 1441671 1459381 1474851 1497287 1529045 1531747 1596771 1613535 1628235 1655445 1693545 1806651 1848231 1853577 1876347 1896237 1916145 1951609 1965915 1969389 1990065 2041755 2074545 2177415 2258949 2265483 2279529 2317623 2341955 2370963 2377821 2402785 2407031 2458085 2558655 2661285 2752281 2786091 2858457 2904363 2979801 3011085 3048381 3080385 3089295 3127245 3160395 3282315 3363899 3582117 3641979 3675159 3725799 3764915 3775805 3799215 3822573 3862705 3951605 3963035 4215519 4325013 4378143 4424553 4491861 4587135 4595241 4643485 4764095 4790313 4840605 4966335 5080635 5286127 5407787 5548249 5629041 5748435 5854827 5897745 5908167 5970195 6069965 6125265 6209665 6370955 6669733 6776847 6796449 6952869 7025865 7112889 7133463 7208355 7221093 7296905 7374255 7486435 7658735 7983855 8256843 8358273 8497951 8575371 8693531 8718677 8919337 9033255 9241155 9267885 9381735 9481185 9758045 9846945 10091697 10215667 10481009 10722229 10753243 10925937 11177397 11294745 11327415 11397645 11467719 11588115 11854815 11889105 12035155 12646557 12975039 13134429 13273659 13475583 13661263 13761405 13785723 13930455 14016101 14292285 14521815 14899005 15241905 15858381 16223361 16470157 16644747 16819495 16849217 17286859 17564481 17910585 18209895 18375795 18628995 19112865 20009199 20330541 20389347 20858607 21077595 21338667 21400389 21625065 21663279 21890715 22122765 22459305 22976205 23951565 25074819 25493853 25726113 26080593 26156031 26430635 26477341 26758011 27038935 27741245 27790267 28145205 29274135 29540835 30275091 30647001 31443027 32166687 32259729 32777811 33348665 33532191 33884235 33982245 34403157 34764345 35564445 35667315 36105465 37002889 38837743 39403287 40426749 40983789 41284215 41357169 41791365 42048303 42489755 42876855 43467655 43593385 44596685 47575143 48670083 49410471 49934241 50458485 50547651 51078335 51860577 52405045 52693443 53611145 53766215 54629685 55886985 57338595 59485657 60027597 61030739 62435359 63232785 64875195 64989837 65672145 66368295 67377915 68306315 68928615 70080505 73367063 75272701 76481559 78241779 78468093 79291905 79432023 80274033 81116805 82350785 83223735 83370801 84246085 86434295 87822405 90825273 91941003 94329081 95628841 95905447 96500061 96779187 98112707 100045995 100661089 101652705 101946735 104293035 106693335 107001945 108316395 111008667 115291099 116513229 117944519 118285673 121008013 122951367 125374095 126144909 127469265 128630565 130402965 130780155 132386705 133790055 138951335 142725429 146010249 148231413 149802723 151375455 151642953 153235005 154177111 155581731 157215135 160833435 161298645 163889055 167660955 172015785 178456971 180082791 183092217 185014445 185341387 187306077 190155449 194188715 194531869 197016435 202133745 204918945 206785845 210241515 220101189 225818103 229444677 234725337 235404279 237875715 238296069 240822099 243350415 247052355 249671205 250112403 252738255 259302885 263467215 275823009 282987243 286886523 287716341 289500183 290337561 294338121 297428285 300137985 301983267 305153695 305692937 312176795 324949185 333026001 345873297 349539687 353833557 354857019 363024039 366835315 368854101 376363505 378434727 382407795 391208895 392340465 397160115 401370165 416854005 427215173 444694239 454126365 454928859 459705015 462531333 466745193 471645405 478144205 479527235 482500305 483895935 490563535 503305445 526908907 535370913 549276651 555043335 556024161 561918231 570466347 576455495 582566145 583595607 589722595 591428365 605040065 614756835 630724545 660303567 671338129 677454309 686788949 704627623 713627145 714888207 730051245 741157065 749013615 750337209 758214765 770885555 777908655 807037693 827999711 847056091 860659569 863149023 883014363 892284855 900413955 905949801 915461085 917078811 926706935 936530385 950777245 972659345 999078003 1037619891 1048619061 1061500671 1064571057 1079239777 1089072117 1100505945 1107271979 1129090515 1147223385 1173626685 1177021395 1191480345 1204110495 1250562015 1281645519 1297389709 1301142403 1331088143 1361723083 1365661861 1379115045 1387593999 1414936215 1434432615 1438581705 1447500915 1451687805 1471690605 1509916335 1528464685 1580726721 1606112739 1647829953 1665130005 1668072483 1685754693 1711399041 1729366485 1747698435 1750786821 1769167785 1774285095 1815120195 1844270505 1892173635 1980910701 2014014387 2032362927 2060366847 2091709939 2113882869 2136075865 2139850559 2195431093 2223471195 2274644295 2312656665 2333725965 2421113079 2483999133 2541168273 2581978707 2589447069 2634544535 2649043089 2676854565 2717849403 2746383255 2751236433 2780120805 2809591155 2852331735 2917978035 3112859673 3184502013 3193713171 3237719331 3267216351 3301517835 3321815937 3356690645 3362622307 3387271545 3433944745 3523138115 3574441035 3751686045 3844936557 3892169127 3903427209 3993264429 4035188465 4085169249 4096985583 4139998555 4162781997 4235280455 4303297845 4315745115 4415071815 4529749005 4585394055 4699366903 4742180163 4932393361 4995390015 5004217449 5134197123 5188099455 5243095305 5252360463 5307503355 5322855285 5396198885 5445360585 5536359895 5795997977 6042043161 6181100541 6275129817 6341648607 6408227595 6419551677 6486948545 6505712015 6586293279 6655440715 6808615415 6828309305 6937969995 7263339237 7451997399 7554678439 7623504819 7750903853 7903633605 8030563695 8239149765 8253709299 8340362415 8428773465 8556995205 8753934105 9107996821 9317617001 9559633027 9713157993 9904553505 9965447811 10070071935 10087866921 10161814635 10301834235 10458549695 10569414345 10699252795 10977155465 11534809671 11676507381 11710281627 11979793287 12105565395 12179991769 12255507747 12290956749 12419995665 12705841365 12909893535 12947235345 13245215445 13589247015 13756182165 14098100709 14226540489 14641969573 14797180083 14978953913 15022280471 15368017651 15564298365 15922510065 15968565855 16188596655 16336081755 16609079685 16813111535 17387993931 18126129483 18543301623 18825389451 19024945821 19224682785 19258655031 19460845635 19517136045 19758879837 19966322145 20425846245 20484927915 20813909985 21790017711 22355992197 22664035317 22870514457 23252711559 23496834515 23538356149 23710900815 24149742023 24661966805 25021087245 25670985615 26261802315 27323990463 27952851003 28678899081 28979989885 29139473979 29896343433 30210215805 30263600763 30905502705 31375649085 31708243035 32097758385 32931466395 35029522143 35130844881 35939379861 36316696185 36539975307 36766523241 36872870247 37259986995 37773392195 38117524095 38754519265 41268546495 42294302127 43925908719 44391540249 44936861739 45066841413 45539984105 46104052953 46588085005 47798165135 48565789965 49827239055 50439334605 52163981793 54256326971 56476168353 57674048355 57775965093 58382536905 58551408135 59276639511 59898966435 60899958845 61277538735 61454783745 63755977747 66917431189 67992105951 69758134677 70490503545 70615068447 71132702445 72449226069 73209847865 73985900415 74894769565 75111402355 76840088255 81971971389 83858553009 85259942383 86036697243 86939969655 90630647415 90790802289 92716508115 94126947255 95124729105 96293275155 98794399185 102493787011 105155963297 107576123557 108950088555 109619925921 111779960985 113320176585 114352572285 116263557795 117691780745 120748710115 126882906381 131777726157 133174620747 134810585217 135200524239 136619952315 138312158859 139764255015 143394495405 145697369895 149481717165 151318003815 156491945379 162768980913 164768493043 165245085181 169048194161 173439056347 175147610715 175654224405 179696899305 182699876535 183832616205 184364351235 191267933241 200752293567 203976317853 209274404031 211471510635 211845205341 217347678207 219629543595 221957701245 224684308695 225334207065 230520264765 245915914167 251575659027 255779827149 258110091729 260819908965 265647162253 271281634855 282380841765 288879825465 296383197555 307481361033 315467889891 318779888735 322728370671 328859777763 334587155945 339960529755 348790673385 353075342235 362246130345 395333178471 404431755651 405601572717 409859856945 414936476577 419292765045 426299711915 430183486215 453954011445 488306942739 494305479129 495735255543 507144582483 512468935055 520317169041 525779816485 537880617785 548099629605 573803799723 596819596681 602256880701 634414531905 635535616023 652043034621 658888630785 665873103735 674052926085 676002621195 691560794295 736091743079 767339481447 782459726895 796941486759 813844904565 823842465215 826225425905 845240970805 867195281735 922444083099 946403669673 956339666205 968185112013 1003761467835 1019881589265 1046372020155 1059226026705 1086738391035 1156715596267 1183337359127 1214073394429 1229579570835 1257878295135 1278899135745 1290550458645 1328235811265 1464920828217 1482916437387 1487205766629 1521433747449 1537406805165 1560951507123 1577339449455 1613641853355 1644298888815 1721411399169 1790458790043 1806770642103 1859530135771 1907829619817 1976665892355 2022158778255 2028007863585 2074682382885 2208275229237 2302018444341 2390824460277 2441534713695 2471527395645 2478676277715 2535722912415 2601585845205 2767332249297 2839211009019 2869018998615 2904555336039 2984097983405 3011284403505 3177678080115 3260215173105 3470146788801 3550012077381 3642220183287 3680458715395 3836697407235 3984707433795 4448749312161 4461617299887 4564301242347 4612220415495 4682854521369 4732018348365 4840925560065 5371376370129 5578590407313 5723488859451 5783577981335 5916686795635 6070366972145 6624825687711 7172473380831 7324604141085 7414582186935 7436028833145 7607168737245 7804757535615 8097009173869 8498513761003 8607056995845 8952293950215 9033853210515 9297650678855 9539148099085 10410440366403 10650036232143 10926660549861 11041376146185 11510092221705 11954122301385 13016710950397 13354807338719 13836661246485 14196055045095 14522776680195 16114129110387 16735771221939 17170466578353 17350733944005 17750060386905 18211100916435 19874477063133 20986125817987 22243746560805 22308086499435 22821506211735 23414272606845 24291027521607 25495541283009 26856881850645 27892952036565 28617444297255 31231321099209 31950108696429 32779981649583 33124128438555 35862366904155 39050132851191 40064422016157 40485045869345 42492568805015 50207313665817 51511399735059 52052201832015 53250181160715 54633302749305 62958377453961 65083554751985 66774036693595 72873082564821 76486623849027 80570645551935 83678856109695 85852332891765 93483651371033 99372385315665 104930629089935 117150398553573 120193266048471 121455137608035 127477706415045 146902880725909 156156605496045 159750543482145 163899908247915 188875132361883 195250664255955 200322110080785 218619247694463 229459871547081 251036568329085 257556998675295 280450954113099 314791887269805 351451195660719 360579798145413 364365412824105 382433119245135 440708642177727 467418256855165 566625397085649 585751992767865 600966330242355 734514403629545 841352862339297 944375661809415 1028320165081363 1093096238472315 1147299357735405 1322125926533181 1402254770565495 1757255978303595 1802898990727065 2203543210888635 2524058587017891 2833126985428245 3084960495244089 3966377779599543 4206764311696485 5141600825406815 6610629632665905 9254881485732267 12620292935089455 15424802476220445 19831888897997715 27764644457196801 46274407428661335 138823222285984005
- Sum of all divisors σ(n): 322330347132736320
- Sum of proper divisors (its aliquot sum) s(n): 183507124846752315
- 138823222285984005 is an abundant number, because the sum of its proper divisors (183507124846752315) is greater than itself. Its abundance is 44683902560768310
Bases of 138823222285984005
- Binary: 1111011010011001011111100001100101110111001100001000001012
- Hexadecimal: 0x1ED32FC32EE6105
- Base-36: 11YWQ3WFOXZ9
Squares and roots of 138823222285984005
- 138823222285984005 squared (1388232222859840052) is 19271887045863726110915071115840025
- 138823222285984005 cubed (1388232222859840053) is 2675385459238315672926486618082613759628299288800125
-
The
square root of 138823222285984005 is 372589884.8412071493 -
The
cube root of 138823222285984005 is 517790.4548982653
Scales and comparisons
How big is 138823222285984005?- 138,823,222,285,984,005 seconds is equal to 4,414,149,060 years, 14 weeks, 1 day, 15 hours, 6 minutes, 45 seconds.
-
To count from 1 to 138,823,222,285,984,005 would take you about thirteen billion, two hundred forty-two million, four hundred forty-seven thousand, one hundred eighty 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 138823222285984005 cubic inches would be around 43149.2 feet tall.
Recreational maths with 138823222285984005
- 138823222285984005 backwards is 500489582222328831
- The number of decimal digits it has is: 18
- The sum of 138823222285984005's digits is 72
- More coming soon!
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"Number 138823222285984005 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138823222285984005 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138823222285984005/
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The information we have on file for 138823222285984005 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 138823222285984005, math, Factors of 138823222285984005, curriculum, school, college, exams, university, Prime factorization of 138823222285984005, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred twenty-three trillion, two hundred twenty-two billion, two hundred eighty-five million, nine hundred eighty-four thousand and five.