138299346276518541312
138,299,346,276,518,541,312 is an even composite number composed of six prime numbers multiplied together.
138299346276518541312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138299346276518541312:
211 × 33 × 11 × 23 × 61 × 162060082109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 23 × 61 × 162060082109)See below for interesting mathematical facts about the number 138299346276518541312 from the Numbermatics database.
Names of 138299346276518541312
- Cardinal: 138299346276518541312 can be written as One hundred thirty-eight quintillion, two hundred ninety-nine quadrillion, three hundred forty-six trillion, two hundred seventy-six billion, five hundred eighteen million, five hundred forty-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38299346276518541312 × 1020
Factors of 138299346276518541312
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 162060082209
Divisors of 138299346276518541312
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 32 33 36 44 46 48 54 61 64 66 69 72 88 92 96 99 108 122 128 132 138 144 176 183 184 192 198 207 216 244 253 256 264 276 288 297 352 366 368 384 396 414 432 488 506 512 528 549 552 576 594 621 671 704 732 736 759 768 792 828 864 976 1012 1024 1056 1098 1104 1152 1188 1242 1342 1403 1408 1464 1472 1518 1536 1584 1647 1656 1728 1952 2013 2024 2048 2112 2196 2208 2277 2304 2376 2484 2684 2806 2816 2928 2944 3036 3072 3168 3294 3312 3456 3904 4026 4048 4209 4224 4392 4416 4554 4608 4752 4968 5368 5612 5632 5856 5888 6039 6072 6144 6336 6588 6624 6831 6912 7808 8052 8096 8418 8448 8784 8832 9108 9216 9504 9936 10736 11224 11264 11712 11776 12078 12144 12627 12672 13176 13248 13662 13824 15433 15616 16104 16192 16836 16896 17568 17664 18117 18216 18432 19008 19872 21472 22448 22528 23424 23552 24156 24288 25254 25344 26352 26496 27324 27648 30866 31232 32208 32384 33672 33792 35136 35328 36234 36432 37881 38016 39744 42944 44896 46299 46848 47104 48312 48576 50508 50688 52704 52992 54648 55296 61732 62464 64416 64768 67344 67584 70272 70656 72468 72864 75762 76032 79488 85888 89792 92598 93696 96624 97152 101016 101376 105408 105984 109296 123464 124928 128832 129536 134688 138897 140544 141312 144936 145728 151524 152064 158976 171776 179584 185196 187392 193248 194304 202032 202752 210816 211968 218592 246928 257664 259072 269376 277794 281088 289872 291456 303048 304128 317952 343552 359168 370392 374784 386496 388608 404064 416691 421632 423936 437184 493856 515328 518144 538752 555588 562176 579744 582912 606096 608256 635904 687104 718336 740784 772992 777216 808128 833382 843264 874368 987712 1030656 1077504 1111176 1124352 1159488 1165824 1212192 1271808 1374208 1436672 1481568 1545984 1554432 1616256 1666764 1686528 1748736 1975424 2061312 2155008 2222352 2318976 2331648 2424384 2873344 2963136 3091968 3232512 3333528 3373056 3497472 3950848 4122624 4310016 4444704 4637952 4663296 4848768 5926272 6183936 6465024 6667056 6994944 7901696 8620032 8889408 9275904 9697536 11852544 12367872 12930048 13334112 13989888 15803392 17778816 18551808 19395072 23705088 25860096 26668224 31606784 35557632 37103616 38790144 47410176 53336448 71115264 77580288 94820352 106672896 142230528 213345792 284461056 426691584 853383168 162060082109 324120164218 486180246327 648240328436 972360492654 1296480656872 1458540738981 1782660903199 1944720985308 2592961313744 2917081477962 3565321806398 3727381888507 3889441970616 4375622216943 5185922627488 5347982709597 5834162955924 7130643612796 7454763777014 7778883941232 8751244433886 9885665008649 10371845254976 10695965419194 11182145665521 11668325911848 14261287225592 14909527554028 15557767882464 16043948128791 17502488867772 19771330017298 20743690509952 21391930838388 22364291331042 23336651823696 28522574451184 29656995025947 29819055108056 31115535764928 32087896257582 33546436996563 35004977735544 39542660034596 41001200773577 41487381019904 42783861676776 44728582662084 46673303647392 48131844386373 57045148902368 59313990051894 59638110216112 62231071529856 64175792515164 67092873993126 70009955471088 79085320069192 82002401547154 82974762039808 85567723353552 88970985077841 89457165324168 93346607294784 96263688772746 100639310989689 108742315095139 114090297804736 118627980103788 119276220432224 123003602320731 124462143059712 128351585030328 134185747986252 140019910942176 158170640138384 164004803094308 165949524079616 171135446707104 177941970155682 178914330648336 186693214589568 192527377545492 201278621979378 217484630190278 227370295198927 228180595609472 237255960207576 238552440864448 246007204641462 248924286119424 256703170060656 266912955233523 268371495972504 280039821884352 316341280276768 326226945285417 328009606188616 331899048159232 342270893414208 355883940311364 357828661296672 369010806962193 373386429179136 385054755090984 402557243958756 434969260380556 454740590397854 456361191218944 474511920415152 477104881728896 492014409282924 497848572238848 513406340121312 533825910467046 536742991945008 560079643768704 632682560553536 652453890570834 656019212377232 682110885596781 684541786828416 711767880622728 715657322593344 738021613924386 746772858358272 770109510181968 805114487917512 869938520761112 909481180795708 912722382437888 949023840830304 954209763457792 978680835856251 984028818565848 995697144477696 1026812680242624 1067651820934092 1073485983890016 1107032420886579 1120159287537408 1265365121107072 1304907781141668 1312038424754464 1364221771193562 1369083573656832 1423535761245456 1431314645186688 1476043227848772 1493545716716544 1540219020363936 1610228975835024 1739877041522224 1818962361591416 1825444764875776 1898047681660608 1908419526915584 1957361671712502 1968057637131696 2046332656790343 2053625360485248 2135303641868184 2146971967780032 2214064841773158 2240318575074816 2501073247188197 2530730242214144 2609815562283336 2624076849508928 2728443542387124 2738167147313664 2847071522490912 2862629290373376 2936042507568753 2952086455697544 2987091433433088 3080438040727872 3220457951670048 3479754083044448 3637924723182832 3650889529751552 3796095363321216 3816839053831168 3914723343425004 3936115274263392 4092665313580686 4107250720970496 4270607283736368 4293943935560064 4428129683546316 4480637150149632 5002146494376394 5061460484428288 5219631124566672 5248153699017856 5456887084774248 5476334294627328 5694143044981824 5725258580746752 5872085015137506 5904172911395088 6138997970371029 6160876081455744 6440915903340096 6959508166088896 7275849446365664 7503219741564591 7592190726642432 7633678107662336 7829446686850008 7872230548526784 8185330627161372 8214501441940992 8541214567472736 8587887871120128 8856259367092632 8961274300299264 10004292988752788 10122920968856576 10439262249133344 10496307398035712 10913774169548496 10952668589254656 11388286089963648 11450517161493504 11744170030275012 11808345822790176 12277995940742058 12321752162911488 12881831806680192 13919016332177792 14551698892731328 15006439483129182 15184381453284864 15658893373700016 15744461097053568 16370661254322744 16429002883881984 17082429134945472 17175775742240256 17712518734185264 20008585977505576 20245841937713152 20878524498266688 20992614796071424 21827548339096992 22509659224693773 22776572179927296 22901034322987008 23488340060550024 23616691645580352 24555991881484116 24643504325822976 25763663613360384 27838032664355584 29103397785462656 30012878966258364 30368762906569728 31317786747400032 31488922194107136 32741322508645488 32858005767763968 34164858269890944 34351551484480512 35425037468370528 40017171955011152 41757048996533376 41985229592142848 43655096678193984 45019318449387546 45553144359854592 46976680121100048 47233383291160704 49111983762968232 49287008651645952 51527327226720768 55676065328711168 58206795570925312 60025757932516728 60737525813139456 62635573494800064 62977844388214272 65482645017290976 67528977674081319 68329716539781888 68703102968961024 70850074936741056 80034343910022304 83514097993066752 83970459184285696 87310193356387968 90038636898775092 91106288719709184 93953360242200096 94466766582321408 98223967525936464 98574017303291904 103054654453441536 111352130657422336 116413591141850624 120051515865033456 125271146989600128 125955688776428544 130965290034581952 135057955348162638 136659433079563776 141700149873482112 160068687820044608 167028195986133504 174620386712775936 180077273797550184 182212577439418368 187906720484400192 188933533164642816 196447935051872928 206109308906883072 222704261314844672 232827182283701248 240103031730066912 250542293979200256 251911377552857088 261930580069163904 270115910696325276 273318866159127552 283400299746964224 320137375640089216 334056391972267008 349240773425551872 360154547595100368 375813440968800384 377867066329285632 392895870103745856 465654364567402496 480206063460133824 501084587958400512 523861160138327808 540231821392650552 546637732318255104 566800599493928448 640274751280178432 668112783944534016 698481546851103744 720309095190200736 751626881937600768 755734132658571264 785791740207491712 960412126920267648 1002169175916801024 1047722320276655616 1080463642785301104 1133601198987856896 1280549502560356864 1396963093702207488 1440618190380401472 1503253763875201536 1571583480414983424 1920824253840535296 2004338351833602048 2095444640553311232 2160927285570602208 2267202397975713792 2561099005120713728 2881236380760802944 3006507527750403072 3143166960829966848 3841648507681070592 4190889281106622464 4321854571141204416 5122198010241427456 5762472761521605888 6013015055500806144 6286333921659933696 7683297015362141184 8643709142282408832 11524945523043211776 12572667843319867392 15366594030724282368 17287418284564817664 23049891046086423552 34574836569129635328 46099782092172847104 69149673138259270656 138299346276518541312
- Sum of all divisors σ(n): 473995402524379008000
- Sum of proper divisors (its aliquot sum) s(n): 335696056247860466688
- 138299346276518541312 is an abundant number, because the sum of its proper divisors (335696056247860466688) is greater than itself. Its abundance is 197396709971341925376
Bases of 138299346276518541312
- Binary: 11101111111010010011111101010110010011110001010000100111000000000002
- Hexadecimal: 0x77F49FAB278A13800
- Base-36: T6QEQOOO6VPC0
Squares and roots of 138299346276518541312
- 138299346276518541312 squared (1382993462765185413122) is 19126709180512382917109667593316250681344
- 138299346276518541312 cubed (1382993462765185413123) is 2645211376085948225031962259425384130438936880134169011683328
-
The
square root of 138299346276518541312 is 11760074246.2162432265 -
The
cube root of 138299346276518541312 is 5171383.0673313391
Scales and comparisons
How big is 138299346276518541312?- 138,299,346,276,518,541,312 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,299,346,276,518,541,312 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 138299346276518541312 cubic inches would be around 430948.6 feet tall.
Recreational maths with 138299346276518541312
- 138299346276518541312 backwards is 213145815672643992831
- The number of decimal digits it has is: 21
- The sum of 138299346276518541312's digits is 90
- More coming soon!
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The information we have on file for 138299346276518541312 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 138299346276518541312, math, Factors of 138299346276518541312, curriculum, school, college, exams, university, Prime factorization of 138299346276518541312, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, two hundred ninety-nine quadrillion, three hundred forty-six trillion, two hundred seventy-six billion, five hundred eighteen million, five hundred forty-one thousand, three hundred twelve.