138642384375
138,642,384,375 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138642384375 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
138642384375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138642384375:
34 × 55 × 11 × 17 × 29 × 101
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 17 × 29 × 101)See below for interesting mathematical facts about the number 138642384375 from the Numbermatics database.
Names of 138642384375
- Cardinal: 138642384375 can be written as One hundred thirty-eight billion, six hundred forty-two million, three hundred eighty-four thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38642384375 × 1011
Factors of 138642384375
Divisors of 138642384375
- Number of divisors d(n): 480
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Complete list of divisors:
1 3 5 9 11 15 17 25 27 29 33 45 51 55 75 81 85 87 99 101 125 135 145 153 165 187 225 255 261 275 297 303 319 375 405 425 435 459 493 495 505 561 625 675 725 765 783 825 891 909 935 957 1111 1125 1275 1305 1375 1377 1479 1485 1515 1595 1683 1717 1875 2025 2125 2175 2295 2349 2465 2475 2525 2727 2805 2871 2929 3125 3333 3375 3625 3825 3915 4125 4437 4455 4545 4675 4785 5049 5151 5423 5555 5625 6375 6525 6875 6885 7395 7425 7575 7975 8181 8415 8585 8613 8787 9375 9999 10125 10625 10875 11475 11745 12325 12375 12625 13311 13635 14025 14355 14645 15147 15453 16269 16665 16875 18125 18887 19125 19575 20625 22185 22275 22725 23375 23925 25245 25755 25839 26361 27115 27775 28125 29997 31875 32219 32625 34375 34425 36975 37125 37875 39875 39933 40905 42075 42925 43065 43935 46359 48807 49793 49995 50625 53125 54375 56661 57375 58725 61625 61875 63125 66555 68175 70125 71775 73225 75735 77265 79083 81345 83325 84375 89991 90625 94435 95625 96657 97875 103125 110925 111375 113625 116875 119625 126225 128775 129195 131805 135575 138875 139077 146421 149379 149985 159375 161095 163125 169983 172125 184875 185625 189375 199375 199665 204525 210375 214625 215325 219675 231795 237249 244035 248965 249975 253125 271875 283305 286875 289971 293625 308125 309375 315625 332775 340875 350625 358875 366125 378675 386325 395415 406725 416625 439263 448137 449955 472175 478125 483285 489375 509949 547723 554625 556875 568125 584375 598125 631125 643875 645975 659025 677875 694375 695385 732105 746895 749925 805475 815625 849915 860625 869913 924375 928125 946875 996875 998325 1022625 1051875 1073125 1076625 1098375 1158975 1186245 1220175 1244825 1249875 1344411 1416525 1434375 1449855 1468125 1529847 1540625 1643169 1663875 1704375 1753125 1794375 1830625 1893375 1931625 1977075 2033625 2083125 2196315 2240685 2249775 2360875 2416425 2446875 2549745 2609739 2738615 2773125 2784375 2840625 2990625 3155625 3219375 3229875 3295125 3389375 3471875 3476925 3660525 3734475 3749625 4027375 4033233 4249575 4303125 4349565 4621875 4929507 4991625 5113125 5259375 5365625 5383125 5491875 5794875 5931225 6100875 6224125 6249375 6722055 7082625 7249275 7340625 7649235 8215845 8319375 8521875 8971875 9153125 9466875 9658125 9885375 10168125 10415625 10981575 11203425 11248875 11804375 12082125 12748725 13048695 13693075 13865625 14788521 15778125 16096875 16149375 16475625 16946875 17384625 18302625 18672375 18748125 20136875 20166165 21247875 21747825 24647535 24958125 25565625 26915625 27459375 28974375 29656125 30504375 31120625 31246875 33610275 35413125 36246375 38246175 41079225 41596875 44365563 47334375 48290625 49426875 50840625 54907875 56017125 56244375 59021875 60410625 63743625 65243475 68465375 73942605 80746875 82378125 86923125 91513125 93361875 93740625 100684375 100830825 106239375 108739125 123237675 124790625 144871875 148280625 152521875 155603125 168051375 177065625 181231875 191230875 205396125 221827815 247134375 274539375 280085625 281221875 302053125 318718125 326217375 342326875 369713025 434615625 457565625 466809375 504154125 531196875 543695625 616188375 741403125 840256875 906159375 956154375 1026980625 1109139075 1372696875 1400428125 1593590625 1631086875 1711634375 1848565125 2520770625 2718478125 3080941875 4201284375 4780771875 5134903125 5545695375 8155434375 9242825625 12603853125 15404709375 27728476875 46214128125 138642384375
- Sum of all divisors σ(n): 312386880960
- Sum of proper divisors (its aliquot sum) s(n): 173744496585
- 138642384375 is an abundant number, because the sum of its proper divisors (173744496585) is greater than itself. Its abundance is 35102112210
Bases of 138642384375
- Binary: 100000010001111011101011100101111101112
- Hexadecimal: 0x2047BAE5F7
- Base-36: 1ROW3GFR
Squares and roots of 138642384375
- 138642384375 squared (1386423843752) is 19221710745185244140625
- 138642384375 cubed (1386423843753) is 2664943809479040298722747802734375
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The
square root of 138642384375 is 372347.1288663309 -
The
cube root of 138642384375 is 5175.6552415437
Scales and comparisons
How big is 138642384375?- 138,642,384,375 seconds is equal to 4,408 years, 20 weeks, 5 days, 5 hours, 26 minutes, 15 seconds.
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To count from 1 to 138,642,384,375 would take you about eight thousand, eight hundred sixteen 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 138642384375 cubic inches would be around 431.3 feet tall.
Recreational maths with 138642384375
- 138642384375 backwards is 573483246831
- The number of decimal digits it has is: 12
- The sum of 138642384375's digits is 54
- More coming soon!
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