138317712
138,317,712 is an even composite number composed of five prime numbers multiplied together.
138317712 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 138317712:
24 × 3 × 132 × 172 × 59
(2 × 2 × 2 × 2 × 3 × 13 × 13 × 17 × 17 × 59)See below for interesting mathematical facts about the number 138317712 from the Numbermatics database.
Names of 138317712
- Cardinal: 138317712 can be written as One hundred thirty-eight million, three hundred seventeen thousand, seven hundred twelve.
Scientific notation
- Scientific notation: 1.38317712 × 108
Factors of 138317712
Divisors of 138317712
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 59 68 78 102 104 118 136 156 169 177 204 208 221 236 272 289 312 338 354 408 442 472 507 578 624 663 676 708 767 816 867 884 944 1003 1014 1156 1326 1352 1416 1534 1734 1768 2006 2028 2301 2312 2652 2704 2832 2873 3009 3068 3468 3536 3757 4012 4056 4602 4624 5304 5746 6018 6136 6936 7514 8024 8112 8619 9204 9971 10608 11271 11492 12036 12272 13039 13872 15028 16048 17051 17238 18408 19942 22542 22984 24072 26078 29913 30056 34102 34476 36816 39117 39884 45084 45968 48144 48841 51153 52156 59826 60112 68204 68952 78234 79768 90168 97682 102306 104312 119652 136408 137904 146523 156468 159536 169507 180336 195364 204612 208624 221663 239304 272816 293046 312936 339014 390728 409224 443326 478608 508521 586092 625872 664989 678028 781456 818448 886652 1017042 1172184 1329978 1356056 1773304 2034084 2344368 2659956 2712112 2881619 3546608 4068168 5319912 5763238 8136336 8644857 10639824 11526476 17289714 23052952 34579428 46105904 69158856 138317712
- Sum of all divisors σ(n): 417986640
- Sum of proper divisors (its aliquot sum) s(n): 279668928
- 138317712 is an abundant number, because the sum of its proper divisors (279668928) is greater than itself. Its abundance is 141351216
Bases of 138317712
- Binary: 10000011111010001111100100002
- Hexadecimal: 0x83E8F90
- Base-36: 2ACMMO
Squares and roots of 138317712
- 138317712 squared (1383177122) is 19131789452914944
- 138317712 cubed (1383177123) is 2646265343592926784688128
-
The
square root of 138317712 is 11760.8550709547 -
The
cube root of 138317712 is 517.1611971733
Scales and comparisons
How big is 138317712?- 138,317,712 seconds is equal to 4 years, 20 weeks, 4 days, 21 hours, 35 minutes, 12 seconds.
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To count from 1 to 138,317,712 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 138317712 cubic inches would be around 43.1 feet tall.
Recreational maths with 138317712
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