138021562959960912375
138,021,562,959,960,912,375 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138021562959960912375 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 256 divisors.
138021562959960912375 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138021562959960912375:
3 × 53 × 11 × 13 × 257 × 1063831 × 9413993
(3 × 5 × 5 × 5 × 11 × 13 × 257 × 1063831 × 9413993)See below for interesting mathematical facts about the number 138021562959960912375 from the Numbermatics database.
Names of 138021562959960912375
- Cardinal: 138021562959960912375 can be written as One hundred thirty-eight quintillion, twenty-one quadrillion, five hundred sixty-two trillion, nine hundred fifty-nine billion, nine hundred sixty million, nine hundred twelve thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38021562959960912375 × 1020
Factors of 138021562959960912375
Divisors of 138021562959960912375
- Number of divisors d(n): 256
-
Complete list of divisors:
1 3 5 11 13 15 25 33 39 55 65 75 125 143 165 195 257 275 325 375 429 715 771 825 975 1285 1375 1625 2145 2827 3341 3575 3855 4125 4875 6425 8481 10023 10725 14135 16705 17875 19275 32125 36751 42405 50115 53625 70675 83525 96375 110253 183755 212025 250575 353375 417625 551265 918775 1060125 1063831 1252875 2756325 3191493 4593875 5319155 9413993 11702141 13781625 13829803 15957465 26595775 28241979 35106423 41489409 47069965 58510705 69149015 79787325 103553923 122381909 132978875 141209895 152127833 175532115 207447045 235349825 273404567 292553525 310661769 345745075 367145727 398936625 456383499 517769615 611909545 706049475 760639165 820213701 877660575 1037235225 1176749125 1346200999 1367022835 1462767625 1553308845 1728725375 1835728635 2281917495 2419396201 2588848075 3007450237 3059547725 3530247375 3554259371 3803195825 4038602997 4101068505 4388302875 5186176125 6731004995 6835114175 7258188603 7766544225 9022350711 9178643175 10662778113 11409587475 12096981005 12944240375 15037251185 15297738625 17771296855 19015979125 20193014985 20505342525 26613358211 31452150613 33655024975 34175570875 36290943015 38832721125 39096853081 45111753555 45893215875 53313890565 57047937375 60484905025 75186255925 79840074633 88856484275 94356451839 100965074925 102526712625 117290559243 133066791055 157260753065 168275124875 181454715075 195484265405 225558767775 266569452825 302424525125 345973656743 375931279625 399200373165 444282421375 471782259195 504825374625 586452796215 665333955275 786303765325 907273575375 977421327025 1037920970229 1127793838875 1332847264125 1729868283715 1996001865825 2358911295975 2932263981075 3326669776375 3931518826625 4887106635125 5189604851145 8649341418575 9980009329125 10014897587183 11794556479875 14661319905375 25948024255725 30044692761549 43246707092875 50074487935915 110163873459013 129740121278625 130193668633379 150223463807745 250372439679575 330491620377039 390581005900137 550819367295065 650968343166895 751117319038725 1251862198397875 1432130354967169 1652458101885195 1952905029500685 2573828679906031 2754096836475325 3254841715834475 3755586595193625 4296391064901507 7160651774835845 7721486039718093 8262290509425975 9764525147503425 12869143399530155 13770484182376625 16274208579172375 21481955324507535 28312115478966341 33459772838778403 35803258874179225 38607430198590465 41311452547129875 48822625737517125 64345716997650775 84936346436899023 100379318516335209 107409776622537675 141560577394831705 167298864193892015 179016294370896125 193037150992952325 321728584988253875 368057501226562433 424681732184495115 501896592581676045 537048883112688375 707802886974158525 836494320969460075 965185754964761625 1104172503679687299 1840287506132812165 2123408660922475575 2509482962908380225 3539014434870792625 4182471604847300375 5520862518398436495 9201437530664060825 10617043304612377875 12547414814541901125 27604312591992182475 46007187653320304125 138021562959960912375
- Sum of all divisors σ(n): 270869773305897013248
- Sum of proper divisors (its aliquot sum) s(n): 132848210345936100873
- 138021562959960912375 is a deficient number, because the sum of its proper divisors (132848210345936100873) is less than itself. Its deficiency is 5173352614024811502
Bases of 138021562959960912375
- Binary: 11101111011011011110001100000111110000101001010111010110001111101112
- Hexadecimal: 0x77B6F183E14AEB1F7
- Base-36: T4MFKPUQX5UD3
Squares and roots of 138021562959960912375
- 138021562959960912375 squared (1380215629599609123752) is 19049951841910454091410212787842428140625
- 138021562959960912375 cubed (1380215629599609123753) is 2629304127532467088685899624371086060051927781859749802734375
-
The
square root of 138021562959960912375 is 11748257869.1464255915 -
The
cube root of 138021562959960912375 is 5167918.3924860015
Scales and comparisons
How big is 138021562959960912375?- 138,021,562,959,960,912,375 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,021,562,959,960,912,375 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 138021562959960912375 cubic inches would be around 430659.9 feet tall.
Recreational maths with 138021562959960912375
- 138021562959960912375 backwards is 573219069959265120831
- The number of decimal digits it has is: 21
- The sum of 138021562959960912375's digits is 93
- More coming soon!
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