138157968
138,157,968 is an even composite number composed of six prime numbers multiplied together.
138157968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138157968:
24 × 3 × 13 × 19 × 43 × 271
(2 × 2 × 2 × 2 × 3 × 13 × 19 × 43 × 271)See below for interesting mathematical facts about the number 138157968 from the Numbermatics database.
Names of 138157968
- Cardinal: 138157968 can be written as One hundred thirty-eight million, one hundred fifty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38157968 × 108
Factors of 138157968
Divisors of 138157968
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 38 39 43 48 52 57 76 78 86 104 114 129 152 156 172 208 228 247 258 271 304 312 344 456 494 516 542 559 624 688 741 813 817 912 988 1032 1084 1118 1482 1626 1634 1677 1976 2064 2168 2236 2451 2964 3252 3268 3354 3523 3952 4336 4472 4902 5149 5928 6504 6536 6708 7046 8944 9804 10298 10569 10621 11653 11856 13008 13072 13416 14092 15447 19608 20596 21138 21242 23306 26832 28184 30894 31863 34959 39216 41192 42276 42484 46612 56368 61788 63726 66937 69918 82384 84552 84968 93224 123576 127452 133874 139836 151489 169104 169936 186448 200811 221407 247152 254904 267748 279672 302978 401622 442814 454467 509808 535496 559344 605956 664221 803244 885628 908934 1070992 1211912 1328442 1606488 1771256 1817868 2423824 2656884 2878291 3212976 3542512 3635736 5313768 5756582 7271472 8634873 10627536 11513164 17269746 23026328 34539492 46052656 69078984 138157968
- Sum of all divisors σ(n): 415528960
- Sum of proper divisors (its aliquot sum) s(n): 277370992
- 138157968 is an abundant number, because the sum of its proper divisors (277370992) is greater than itself. Its abundance is 139213024
Bases of 138157968
- Binary: 10000011110000011111100100002
- Hexadecimal: 0x83C1F90
- Base-36: 2A97DC
Squares and roots of 138157968
- 138157968 squared (1381579682) is 19087624121889024
- 138157968 cubed (1381579683) is 2637107362627971877343232
-
The
square root of 138157968 is 11754.0617660449 -
The
cube root of 138157968 is 516.9620295683
Scales and comparisons
How big is 138157968?- 138,157,968 seconds is equal to 4 years, 20 weeks, 3 days, 1 hour, 12 minutes, 48 seconds.
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To count from 1 to 138,157,968 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 138157968 cubic inches would be around 43.1 feet tall.
Recreational maths with 138157968
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