138043125
138,043,125 is an odd composite number composed of five prime numbers multiplied together.
138043125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 138043125:
32 × 54 × 11 × 23 × 97
(3 × 3 × 5 × 5 × 5 × 5 × 11 × 23 × 97)See below for interesting mathematical facts about the number 138043125 from the Numbermatics database.
Names of 138043125
- Cardinal: 138043125 can be written as One hundred thirty-eight million, forty-three thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38043125 × 108
Factors of 138043125
Divisors of 138043125
- Number of divisors d(n): 120
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Complete list of divisors:
1 3 5 9 11 15 23 25 33 45 55 69 75 97 99 115 125 165 207 225 253 275 291 345 375 485 495 575 625 759 825 873 1035 1067 1125 1265 1375 1455 1725 1875 2231 2277 2425 2475 2875 3201 3795 4125 4365 5175 5335 5625 6325 6693 6875 7275 8625 9603 11155 11385 12125 12375 14375 16005 18975 20079 20625 21825 24541 25875 26675 31625 33465 36375 43125 48015 55775 56925 60625 61875 73623 80025 94875 100395 109125 122705 129375 133375 158125 167325 181875 220869 240075 278875 284625 368115 400125 474375 501975 545625 613525 666875 836625 1104345 1200375 1394375 1423125 1840575 2000625 2509875 3067625 4183125 5521725 6001875 9202875 12549375 15338125 27608625 46014375 138043125
- Sum of all divisors σ(n): 286558272
- Sum of proper divisors (its aliquot sum) s(n): 148515147
- 138043125 is an abundant number, because the sum of its proper divisors (148515147) is greater than itself. Its abundance is 10472022
Bases of 138043125
- Binary: 10000011101001011110111101012
- Hexadecimal: 0x83A5EF5
- Base-36: 2A6QR9
Squares and roots of 138043125
- 138043125 squared (1380431252) is 19055904359765625
- 138043125 cubed (1380431253) is 2630536587523171142578125
-
The
square root of 138043125 is 11749.1755029873 -
The
cube root of 138043125 is 516.8187493097
Scales and comparisons
How big is 138043125?- 138,043,125 seconds is equal to 4 years, 20 weeks, 1 day, 17 hours, 18 minutes, 45 seconds.
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To count from 1 to 138,043,125 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 138043125 cubic inches would be around 43.1 feet tall.
Recreational maths with 138043125
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