138588328125
138,588,328,125 is an odd composite number composed of five prime numbers multiplied together.
138588328125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 138588328125:
32 × 56 × 13 × 41 × 432
(3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 41 × 43 × 43)See below for interesting mathematical facts about the number 138588328125 from the Numbermatics database.
Names of 138588328125
- Cardinal: 138588328125 can be written as One hundred thirty-eight billion, five hundred eighty-eight million, three hundred twenty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38588328125 × 1011
Factors of 138588328125
Divisors of 138588328125
- Number of divisors d(n): 252
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Complete list of divisors:
1 3 5 9 13 15 25 39 41 43 45 65 75 117 123 125 129 195 205 215 225 325 369 375 387 533 559 585 615 625 645 975 1025 1075 1125 1599 1625 1677 1763 1845 1849 1875 1935 2665 2795 2925 3075 3125 3225 4797 4875 5031 5125 5289 5375 5547 5625 7995 8125 8385 8815 9225 9245 9375 9675 13325 13975 14625 15375 15625 15867 16125 16641 22919 23985 24037 24375 25155 25625 26445 26875 27735 28125 39975 40625 41925 44075 46125 46225 46875 48375 66625 68757 69875 72111 73125 75809 76875 79335 80625 83205 114595 119925 120185 121875 125775 128125 132225 134375 138675 140625 199875 203125 206271 209625 216333 220375 227427 230625 231125 241875 333125 343785 349375 360555 365625 379045 384375 396675 403125 416025 572975 599625 600925 609375 628875 640625 661125 671875 682281 693375 985517 999375 1031355 1048125 1081665 1101875 1137135 1153125 1155625 1209375 1665625 1718925 1746875 1802775 1828125 1895225 1921875 1983375 2015625 2080125 2864875 2956551 2998125 3004625 3144375 3305625 3411405 3466875 4927585 4996875 5156775 5240625 5408325 5509375 5685675 5765625 5778125 6046875 8328125 8594625 8734375 8869653 9013875 9476125 9916875 10400625 14324375 14782755 14990625 15023125 15721875 16528125 17057025 17334375 24637925 24984375 25783875 26203125 27041625 27546875 28428375 28890625 42973125 44348265 45069375 47380625 49584375 52003125 71621875 73913775 74953125 75115625 78609375 82640625 85285125 86671875 123189625 128919375 135208125 142141875 214865625 221741325 225346875 236903125 247921875 260015625 358109375 369568875 375578125 426425625 615948125 644596875 676040625 710709375 1074328125 1108706625 1126734375 1184515625 1847844375 2132128125 3079740625 3222984375 3380203125 3553546875 5543533125 9239221875 10660640625 15398703125 27717665625 46196109375 138588328125
- Sum of all divisors σ(n): 282615366852
- Sum of proper divisors (its aliquot sum) s(n): 144027038727
- 138588328125 is an abundant number, because the sum of its proper divisors (144027038727) is greater than itself. Its abundance is 5438710602
Bases of 138588328125
- Binary: 100000010001001000001000010000101111012
- Hexadecimal: 0x20448210BD
- Base-36: 1RNZWUD9
Squares and roots of 138588328125
- 138588328125 squared (1385883281252) is 19206724692482666015625
- 138588328125 cubed (1385883281253) is 2661827863888327438648223876953125
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The
square root of 138588328125 is 372274.5332748401 -
The
cube root of 138588328125 is 5174.9824966151
Scales and comparisons
How big is 138588328125?- 138,588,328,125 seconds is equal to 4,406 years, 35 weeks, 2 days, 13 hours, 48 minutes, 45 seconds.
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To count from 1 to 138,588,328,125 would take you about eight thousand, eight hundred thirteen 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 138588328125 cubic inches would be around 431.2 feet tall.
Recreational maths with 138588328125
- 138588328125 backwards is 521823885831
- The number of decimal digits it has is: 12
- The sum of 138588328125's digits is 54
- More coming soon!
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