138121701639051823875
138,121,701,639,051,823,875 is an odd composite number composed of six prime numbers multiplied together.
138121701639051823875 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138121701639051823875:
34 × 53 × 72 × 133 × 71 × 12133
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 71 × 1213 × 1213 × 1213)See below for interesting mathematical facts about the number 138121701639051823875 from the Numbermatics database.
Names of 138121701639051823875
- Cardinal: 138121701639051823875 can be written as One hundred thirty-eight quintillion, one hundred twenty-one quadrillion, seven hundred one trillion, six hundred thirty-nine billion, fifty-one million, eight hundred twenty-three thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.38121701639051823875 × 1020
Factors of 138121701639051823875
Divisors of 138121701639051823875
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 45 49 63 65 71 75 81 91 105 117 125 135 147 169 175 189 195 213 225 245 273 315 325 351 355 375 405 441 455 497 507 525 567 585 637 639 675 735 819 845 875 923 945 975 1053 1065 1125 1183 1213 1225 1323 1365 1491 1521 1575 1625 1755 1775 1911 1917 2025 2197 2205 2275 2457 2485 2535 2625 2769 2835 2925 3185 3195 3375 3479 3549 3639 3675 3969 4095 4225 4473 4563 4615 4725 4875 5265 5325 5733 5751 5915 6065 6125 6461 6591 6615 6825 7371 7455 7605 7875 8281 8307 8491 8775 8875 9555 9585 10125 10437 10647 10917 10985 11025 11375 11999 12285 12425 12675 13419 13689 13845 14175 14625 15379 15769 15925 15975 17199 17395 17745 18195 18375 19383 19773 19845 20475 21125 22365 22815 23075 23625 24843 24921 25473 26325 26625 28665 28755 29575 30325 31311 31941 32305 32751 32955 33075 34125 35997 36855 37275 38025 40257 41405 41535 42455 43875 45227 46137 47307 47775 47925 51597 52185 53235 54585 54925 55125 58149 59319 59437 59995 61425 62125 63375 67095 68445 69225 70875 74529 74763 76419 76895 78845 79625 79875 83993 85995 86123 86975 88725 90975 93933 95823 96915 98253 98865 99225 102375 107653 107991 110383 111825 114075 115375 124215 124605 127365 131625 135681 138411 141921 143325 143775 147875 151625 155987 156555 159705 161525 163755 164775 165375 174447 177957 178311 179985 184275 186375 190125 201285 204997 207025 207675 212275 223587 226135 229257 230685 236535 238875 239625 251979 257985 258369 260925 266175 272925 274625 281799 290745 296595 297185 299975 307125 322959 323973 331149 335475 342225 346125 372645 373815 382095 384475 394225 407043 415233 419965 425763 429975 430615 434875 443625 454875 467961 469665 479115 484575 491265 494325 496125 523341 534933 538265 539955 551915 559125 570375 587951 602861 614991 621075 623025 636825 670761 678405 687771 692055 709605 716625 718875 755937 772681 775107 779935 782775 798525 807625 818775 823875 872235 889785 891555 899925 921375 968877 971919 993447 1006425 1024985 1035125 1038375 1061375 1091909 1117935 1119599 1130675 1146285 1153425 1182675 1221129 1245699 1259895 1277289 1289925 1291845 1304625 1330875 1364625 1403883 1408995 1434979 1453725 1471369 1482975 1485925 1499875 1604799 1614795 1619865 1655745 1677375 1711125 1763853 1808583 1844973 1863225 1869075 1910475 1922375 1971125 2035215 2076165 2099825 2128815 2149875 2153075 2267811 2318043 2325321 2339805 2348325 2395575 2422875 2456325 2471625 2616705 2664961 2674665 2691325 2699775 2759575 2906631 2939755 2980341 3014305 3074955 3105375 3115125 3184125 3275727 3353805 3358797 3392025 3438855 3460275 3548025 3663387 3779685 3863405 3875535 3899675 3913875 3992625 4093875 4211649 4220027 4304937 4361175 4414107 4448925 4457775 4499625 4814397 4844385 4859595 4967235 5032125 5124925 5291559 5425749 5459545 5534919 5589675 5597995 5653375 5731425 5767125 5913375 6105645 6228495 6299475 6386445 6449625 6459225 6803433 6954129 6975963 7019415 7044975 7174895 7268625 7356845 7414875 7429625 7643363 7837193 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2993729580142875 3053965587791625 3148072971830241 3253367133177525 3325429195595325 3335870103587775 3430998376407875 3632391890573355 3705478246520505 3747705918845525 3837033687225375 4047522392353167 4176015166713585 4191221412200025 4217327765230125 4275551822908275 4324276060206375 4411283626810125 4554713986448535 4670218145022885 4803397726971025 4818479038515675 5187669545128707 5246788286383735 5422278555295875 5542381992658875 5559783505979625 5846421233399019 5985772552071585 6053986484288925 6175797077534175 6538305403032039 6745870653921945 6960025277855975 6985369020333375 7125919704847125 7516827300084453 7591189977414225 7783696908371475 7940310528258225 8030798397526125 8646115908547845 8673262269328215 8759065358554875 8981188740428625 9444218915490723 9744035388998365 9976287586785975 10089977473814875 10292995129223625 10897175671720065 11116434739561515 11243117756536575 11511101061676125 12142567177059501 12528045500140755 12573664236600075 12651983295690375 12972828180619125 13233850880430375 13641649544597711 14410193180913075 14455437115547025 15563008635386121 15740364859151205 16266835665887625 16627145977976625 16679350517938875 17539263700197057 18161959452866775 18527391232602525 18738529594227625 20237611961765835 20880075833567925 20956107061000125 21377759114541375 22550481900253359 22773569932242675 23351090725114425 24016988634855125 24092395192578375 25938347725643535 26233941431918675 28332656746472169 29232106166995095 29928862760357925 30269932421444625 30878985387670875 32691527015160195 33729353269609725 34800126389279875 37584136500422265 37955949887071125 38918484541857375 39701552641291125 40924948633793133 43230579542739225 43366311346641075 47221094577453615 48720176944991825 49881437933929875 52617791100591171 54485878358600325 55582173697807575 56215588782682875 60712835885297505 62640227500703775 62868321183000375 68208247722988555 72050965904565375 72277185577735125 77815043176930605 78701824295756025 84997970239416507 87696318500985285 90809797264333875 92636956163012625 101188059808829175 104400379167839625 112752409501266795 113867849661213375 116755453625572125 122774845901379399 129691738628217675 131169707159593375 141663283732360845 146160530834975475 149644313801789625 157853373301773513 163457635075800975 168646766348048625 187920682502111325 204624743168965665 216152897713696125 216831556733205375 236105472887268075 243600884724959125 263088955502955855 272429391793001625 277910868489037875 303564179426487525 313201137503518875 341041238614942775 368324537704138197 389075215884653025 393509121478780125 424989851197082535 438481592504926425 505940299044145875 563762047506333975 613874229506896995 648458693141088375 708316418661804225 730802654174877375 789266866508867565 817288175379004875 939603412510556625 1023123715844828325 1104973613112414591 1180527364436340375 1315444777514779275 1517820897132437625 1705206193074713875 1841622688520690985 1945376079423265125 2124949255985412675 2192407962524632125 2818810237531669875 3069371147534484975 3541582093309021125 3946334332544337825 5115618579224141625 5524868065562072955 6577223887573896375 9208113442603454925 10624746279927063375 15346855737672424875 19731671662721689125 27624340327810364775 46040567213017274625 138121701639051823875
- Sum of all divisors σ(n): 329332705142554713600
- Sum of proper divisors (its aliquot sum) s(n): 191211003503502889725
- 138121701639051823875 is an abundant number, because the sum of its proper divisors (191211003503502889725) is greater than itself. Its abundance is 53089301864451065850
Bases of 138121701639051823875
- Binary: 11101111100110100101101101111010111001100000010110001001011000000112
- Hexadecimal: 0x77CD2DBD7302C4B03
- Base-36: T5DTKX0UBTD6R
Squares and roots of 138121701639051823875
- 138121701639051823875 squared (1381217016390518238752) is 19077604463667251289922056347964020015625
- 138121701639051823875 cubed (1381217016390518238753) is 2635031191718491373830876688131274847113100211987162248046875
-
The
square root of 138121701639051823875 is 11752518948.6786969347 -
The
cube root of 138121701639051823875 is 5169167.9156400795
Scales and comparisons
How big is 138121701639051823875?- 138,121,701,639,051,823,875 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,121,701,639,051,823,875 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 138121701639051823875 cubic inches would be around 430764 feet tall.
Recreational maths with 138121701639051823875
- 138121701639051823875 backwards is 578328150936107121831
- 138121701639051823875 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138121701639051823875's digits is 81
- More coming soon!
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"Number 138121701639051823875 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138121701639051823875 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138121701639051823875/
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Numbermatics. 2024. "Number 138121701639051823875 - Facts about the integer". https://numbermatics.com/n/138121701639051823875/
The information we have on file for 138121701639051823875 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 138121701639051823875, math, Factors of 138121701639051823875, curriculum, school, college, exams, university, Prime factorization of 138121701639051823875, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred twenty-one quadrillion, seven hundred one trillion, six hundred thirty-nine billion, fifty-one million, eight hundred twenty-three thousand, eight hundred seventy-five.