138629985
138,629,985 is an odd composite number composed of seven prime numbers multiplied together.
138629985 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 138629985:
3 × 5 × 13 × 17 × 19 × 31 × 71
See below for interesting mathematical facts about the number 138629985 from the Numbermatics database.
Names of 138629985
- Cardinal: 138629985 can be written as One hundred thirty-eight million, six hundred twenty-nine thousand, nine hundred eighty-five.
Scientific notation
- Scientific notation: 1.38629985 × 108
Factors of 138629985
Divisors of 138629985
- Number of divisors d(n): 128
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Complete list of divisors:
1 3 5 13 15 17 19 31 39 51 57 65 71 85 93 95 155 195 213 221 247 255 285 323 355 403 465 527 589 663 741 923 969 1065 1105 1207 1209 1235 1349 1581 1615 1767 2015 2201 2635 2769 2945 3315 3621 3705 4047 4199 4615 4845 6035 6045 6603 6745 6851 7657 7905 8835 10013 11005 12597 13845 15691 17537 18105 20235 20553 20995 22933 22971 28613 30039 33015 34255 37417 38285 41819 47073 50065 52611 62985 68799 78455 85839 87685 102765 112251 114665 114855 125457 130169 143065 150195 187085 209095 235365 263055 298129 343995 390507 429195 486421 543647 561255 627285 650845 710923 894387 1459263 1490645 1630941 1952535 2132769 2432105 2718235 3554615 4471935 7296315 8154705 9241999 10663845 27725997 46209995 138629985
- Sum of all divisors σ(n): 278691840
- Sum of proper divisors (its aliquot sum) s(n): 140061855
- 138629985 is an abundant number, because the sum of its proper divisors (140061855) is greater than itself. Its abundance is 1431870
Bases of 138629985
- Binary: 10000100001101010011011000012
- Hexadecimal: 0x8435361
- Base-36: 2AJBKX
Squares and roots of 138629985
- 138629985 squared (1386299852) is 19218272741100225
- 138629985 cubed (1386299853) is 2664228861824633075246625
-
The
square root of 138629985 is 11774.1235342593 -
The
cube root of 138629985 is 517.5500943365
Scales and comparisons
How big is 138629985?- 138,629,985 seconds is equal to 4 years, 21 weeks, 1 day, 12 hours, 19 minutes, 45 seconds.
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To count from 1 to 138,629,985 would take you about six 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 138629985 cubic inches would be around 43.1 feet tall.
Recreational maths with 138629985
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