138338721675845282900390625
138,338,721,675,845,282,900,390,625 is an odd composite number composed of three prime numbers multiplied together.
138338721675845282900390625 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of six hundred five divisors.
Prime factorization of 138338721675845282900390625:
34 × 510 × 5310
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 53 × 53 × 53 × 53 × 53 × 53 × 53 × 53 × 53 × 53)See below for interesting mathematical facts about the number 138338721675845282900390625 from the Numbermatics database.
Names of 138338721675845282900390625
- Cardinal: 138338721675845282900390625 can be written as One hundred thirty-eight septillion, three hundred thirty-eight sextillion, seven hundred twenty-one quintillion, six hundred seventy-five quadrillion, eight hundred forty-five trillion, two hundred eighty-two billion, nine hundred million, three hundred ninety thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38338721675845282900390625 × 1026
Factors of 138338721675845282900390625
Divisors of 138338721675845282900390625
- Number of divisors d(n): 605
-
Complete list of divisors:
1 3 5 9 15 25 27 45 53 75 81 125 135 159 225 265 375 405 477 625 675 795 1125 1325 1431 1875 2025 2385 2809 3125 3375 3975 4293 5625 6625 7155 8427 9375 10125 11925 14045 15625 16875 19875 21465 25281 28125 33125 35775 42135 46875 50625 59625 70225 75843 78125 84375 99375 107325 126405 140625 148877 165625 178875 210675 227529 234375 253125 298125 351125 379215 390625 421875 446631 496875 536625 632025 703125 744385 828125 894375 1053375 1137645 1171875 1265625 1339893 1490625 1755625 1896075 1953125 2109375 2233155 2484375 2683125 3160125 3515625 3721925 4019679 4140625 4471875 5266875 5688225 5859375 6328125 6699465 7453125 7890481 8778125 9480375 9765625 10546875 11165775 12059037 12421875 13415625 15800625 17578125 18609625 20098395 20703125 22359375 23671443 26334375 28441125 29296875 31640625 33497325 37265625 39452405 43890625 47401875 52734375 55828875 60295185 62109375 67078125 71014329 79003125 87890625 93048125 100491975 103515625 111796875 118357215 131671875 142205625 158203125 167486625 186328125 197262025 213042987 219453125 237009375 263671875 279144375 301475925 310546875 335390625 355071645 395015625 418195493 465240625 502459875 517578125 558984375 591786075 639128961 658359375 711028125 791015625 837433125 931640625 986310125 1065214935 1097265625 1185046875 1254586479 1395721875 1507379625 1552734375 1676953125 1775358225 1975078125 2090977465 2326203125 2512299375 2794921875 2958930375 3195644805 3291796875 3555140625 3763759437 4187165625 4658203125 4931550625 5326074675 5486328125 5925234375 6272932395 6978609375 7536898125 8384765625 8876791125 9875390625 10454887325 11291278311 11631015625 12561496875 13974609375 14794651875 15978224025 16458984375 17775703125 18818797185 20935828125 22164361129 24657753125 26630373375 27431640625 29626171875 31364661975 33873834933 34893046875 37684490625 41923828125 44383955625 49376953125 52274436625 56456391555 58155078125 62807484375 66493083387 73973259375 79891120125 82294921875 88878515625 94093985925 104679140625 110821805645 123288765625 133151866875 148130859375 156823309875 169369174665 174465234375 188422453125 199479250161 221919778125 246884765625 261372183125 282281957775 290775390625 314037421875 332465416935 369866296875 399455600625 444392578125 470469929625 523395703125 554109028225 598437750483 616443828125 665759334375 740654296875 784116549375 846845873325 872326171875 942112265625 997396250805 1109598890625 1174711139837 1306860915625 1411409788875 1453876953125 1570187109375 1662327084675 1795313251449 1849331484375 1997278003125 2221962890625 2352349648125 2616978515625 2770545141125 2992188752415 3082219140625 3328796671875 3524133419511 3920582746875 4234229366625 4361630859375 4710561328125 4986981254025 5547994453125 5873555699185 6534304578125 7057048944375 7850935546875 8311635423375 8976566257245 9246657421875 9986390015625 10572400258533 11761748240625 13084892578125 13852725705625 14960943762075 15411095703125 16643983359375 17620667097555 19602913734375 21171146833125 23552806640625 24934906270125 27739972265625 29367778495925 31717200775599 32671522890625 35285244721875 39254677734375 41558177116875 44882831286225 46233287109375 49931950078125 52862001292665 58808741203125 62259690411361 69263628528125 74804718810375 77055478515625 83219916796875 88103335487775 95151602326797 98014568671875 105855734165625 117764033203125 124674531350625 138699861328125 146838892479625 158586003877995 163357614453125 176426223609375 186779071234083 207790885584375 224414156431125 231166435546875 249659750390625 264310006463325 294043706015625 311298452056805 346318142640625 374023594051875 416099583984375 440516677438875 475758011633985 490072843359375 529278670828125 560337213702249 623372656753125 693499306640625 734194462398125 792930019389975 816788072265625 882131118046875 933895356170415 1038954427921875 1122070782155625 1248298751953125 1321550032316625 1470218530078125 1556492260284025 1681011641106747 1731590713203125 1870117970259375 2080497919921875 2202583387194375 2378790058169925 2450364216796875 2646393354140625 2801686068511245 3116863283765625 3299763591802133 3670972311990625 3964650096949875 4083940361328125 4410655590234375 4669476780852075 5043034923320241 5194772139609375 5610353910778125 6241493759765625 6607750161583125 7351092650390625 7782461301420125 8405058205533735 8657953566015625 9350589851296875 9899290775406399 11012916935971875 11893950290849625 12251821083984375 13231966770703125 14008430342556225 15584316418828125 16498817959010665 18354861559953125 19823250484749375 22053277951171875 23347383904260375 25215174616601205 25973860698046875 28051769553890625 29697872326219197 33038750807915625 36755463251953125 38912306507100625 42025291027668675 43289767830078125 46752949256484375 49496453877031995 55064584679859375 59469751454248125 66159833853515625 70042151712781125 77921582094140625 82494089795053325 89093616978657591 91774307799765625 99116252423746875 110266389755859375 116736919521301875 126075873083006025 129869303490234375 140258847769453125 148489361631095985 165193754039578125 174887470365513049 194561532535503125 210126455138343375 216448839150390625 233764746282421875 247482269385159975 267280850935972773 275322923399296875 297348757271240625 330799169267578125 350210758563905625 389607910470703125 412470448975266625 445468084893287955 458871538998828125 495581262118734375 524662411096539147 583684597606509375 630379365415030125 649346517451171875 701294238847265625 742446808155479925 825968770197890625 874437351827565245 972807662677515625 1050632275691716875 1168823731412109375 1237411346925799875 1336404254679863865 1376614616996484375 1486743786356203125 1573987233289617441 1751053792819528125 1948039552353515625 2062352244876333125 2227340424466439775 2294357694994140625 2477906310593671875 2623312055482695735 2918422988032546875 3151896827075150625 3506471194236328125 3712234040777399625 4129843850989453125 4372186759137826225 4721961699868852323 4864038313387578125 5253161378458584375 5844118657060546875 6187056734628999375 6682021273399319325 6883073084982421875 7433718931781015625 7869936166448087205 8755268964097640625 10311761224381665625 11136702122332198875 11471788474970703125 12389531552968359375 13116560277413478675 14165885099606556969 14592114940162734375 15759484135375753125 17532355971181640625 18561170203886998125 20649219254947265625 21860933795689131125 23609808499344261615 24320191566937890625 26265806892292921875 30935283673144996875 33410106366996596625 34415365424912109375 37168594658905078125 39349680832240436025 43776344820488203125 51558806121908328125 55683510611660994375 61947657764841796875 65582801387067393375 70829425498032784845 72960574700813671875 78797420676878765625 92805851019434990625 103246096274736328125 109304668978445655625 118049042496721308075 121600957834689453125 131329034461464609375 154676418365724984375 167050531834982983125 185842973294525390625 196748404161202180125 218881724102441015625 257794030609541640625 278417553058304971875 309738288824208984375 327914006935336966875 354147127490163924225 364802873504068359375 393987103384393828125 464029255097174953125 546523344892228278125 590245212483606540375 608004789173447265625 656645172307323046875 773382091828624921875 835252659174914915625 929214866472626953125 983742020806010900625 1094408620512205078125 1288970153047708203125 1392087765291524859375 1639570034676684834375 1770735637450819621125 1824014367520341796875 1969935516921969140625 2320146275485874765625 2732616724461141390625 2951226062418032701875 3283225861536615234375 3866910459143124609375 4176263295874574578125 4918710104030054503125 5472043102561025390625 6444850765238541015625 6960438826457624296875 8197850173383424171875 8853678187254098105625 9849677584609845703125 11600731377429373828125 13663083622305706953125 14756130312090163509375 16416129307683076171875 19334552295715623046875 20881316479372872890625 24593550520150272515625 32224253826192705078125 34802194132288121484375 40989250866917120859375 44268390936270490528125 49248387923049228515625 58003656887146869140625 68315418111528534765625 73780651560450817546875 96672761478578115234375 104406582396864364453125 122967752600751362578125 174010970661440607421875 204946254334585604296875 221341954681352452640625 290018284435734345703125 341577090557642673828125 368903257802254087734375 522032911984321822265625 614838763003756812890625 870054853307203037109375 1024731271672928021484375 1106709773406762263203125 1707885452788213369140625 1844516289011270438671875 2610164559921609111328125 3074193815018784064453125 5123656358364640107421875 5533548867033811316015625 9222581445056352193359375 15370969075093920322265625 27667744335169056580078125 46112907225281760966796875 138338721675845282900390625
- Sum of all divisors σ(n): 263285316933176510680532473
- Sum of proper divisors (its aliquot sum) s(n): 124946595257331227780141848
- 138338721675845282900390625 is a deficient number, because the sum of its proper divisors (124946595257331227780141848) is less than itself. Its deficiency is 13392126418514055120248777
Bases of 138338721675845282900390625
- Binary: 1110010011011100101110100100001000001011000110100000111011001000100101010110010111000012
- Hexadecimal: 0x726E5D21058D07644AB2E1
- Base-36: HDRA28HE0MB3BDL29
Squares and roots of 138338721675845282900390625
- 138338721675845282900390625 squared (1383387216758452829003906252) is 19137601914906985517413265344490286537265777587890625
- 138338721675845282900390625 cubed (1383387216758452829003906253) is 2647471384849441190659843336140792370666409726434896514945663511753082275390625
-
138338721675845282900390625 is a
perfect square number . Itssquare root is 11761748240625 -
The
cube root of 138338721675845282900390625 is 517187380.4651203353
Scales and comparisons
How big is 138338721675845282900390625?- 138,338,721,675,845,282,900,390,625 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,338,721,675,845,282,900,390,625 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 138338721675845282900390625 cubic inches would be around 43098948.4 feet tall.
Recreational maths with 138338721675845282900390625
- 138338721675845282900390625 backwards is 526093009282548576127833831
- The number of decimal digits it has is: 27
- The sum of 138338721675845282900390625's digits is 117
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138338721675845282900390625 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 138338721675845282900390625 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138338721675845282900390625/
Chicago style:
Numbermatics. 2024. "Number 138338721675845282900390625 - Facts about the integer". https://numbermatics.com/n/138338721675845282900390625/
The information we have on file for 138338721675845282900390625 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 138338721675845282900390625, math, Factors of 138338721675845282900390625, curriculum, school, college, exams, university, Prime factorization of 138338721675845282900390625, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight septillion, three hundred thirty-eight sextillion, seven hundred twenty-one quintillion, six hundred seventy-five quadrillion, eight hundred forty-five trillion, two hundred eighty-two billion, nine hundred million, three hundred ninety thousand, six hundred twenty-five.