138151128
138,151,128 is an even composite number composed of six prime numbers multiplied together.
138151128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 138151128:
23 × 3 × 19 × 29 × 31 × 337
(2 × 2 × 2 × 3 × 19 × 29 × 31 × 337)See below for interesting mathematical facts about the number 138151128 from the Numbermatics database.
Names of 138151128
- Cardinal: 138151128 can be written as One hundred thirty-eight million, one hundred fifty-one thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38151128 × 108
Factors of 138151128
Divisors of 138151128
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 12 19 24 29 31 38 57 58 62 76 87 93 114 116 124 152 174 186 228 232 248 337 348 372 456 551 589 674 696 744 899 1011 1102 1178 1348 1653 1767 1798 2022 2204 2356 2696 2697 3306 3534 3596 4044 4408 4712 5394 6403 6612 7068 7192 8088 9773 10447 10788 12806 13224 14136 17081 19209 19546 20894 21576 25612 29319 31341 34162 38418 39092 41788 51224 51243 58638 62682 68324 76836 78184 83576 102486 117276 125364 136648 153672 185687 198493 204972 234552 250728 302963 371374 396986 409944 557061 595479 605926 742748 793972 908889 1114122 1190958 1211852 1485496 1587944 1817778 2228244 2381916 2423704 3635556 4456488 4763832 5756297 7271112 11512594 17268891 23025188 34537782 46050376 69075564 138151128
- Sum of all divisors σ(n): 389376000
- Sum of proper divisors (its aliquot sum) s(n): 251224872
- 138151128 is an abundant number, because the sum of its proper divisors (251224872) is greater than itself. Its abundance is 113073744
Bases of 138151128
- Binary: 10000011110000000100110110002
- Hexadecimal: 0x83C04D8
- Base-36: 2A923C
Squares and roots of 138151128
- 138151128 squared (1381511282) is 19085734167672384
- 138151128 cubed (1381511283) is 2636715703972080984049152
-
The
square root of 138151128 is 11753.7707991947 -
The
cube root of 138151128 is 516.9534980815
Scales and comparisons
How big is 138151128?- 138,151,128 seconds is equal to 4 years, 20 weeks, 2 days, 23 hours, 18 minutes, 48 seconds.
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To count from 1 to 138,151,128 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 138151128 cubic inches would be around 43.1 feet tall.
Recreational maths with 138151128
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