138583368
138,583,368 is an even composite number composed of five prime numbers multiplied together.
138583368 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138583368:
23 × 32 × 72 × 11 × 3571
(2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 3571)See below for interesting mathematical facts about the number 138583368 from the Numbermatics database.
Names of 138583368
- Cardinal: 138583368 can be written as One hundred thirty-eight million, five hundred eighty-three thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38583368 × 108
Factors of 138583368
Divisors of 138583368
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 693 792 882 924 1078 1176 1386 1617 1764 1848 2156 2772 3234 3528 3571 4312 4851 5544 6468 7142 9702 10713 12936 14284 19404 21426 24997 28568 32139 38808 39281 42852 49994 64278 74991 78562 85704 99988 117843 128556 149982 157124 174979 199976 224973 235686 257112 274967 299964 314248 349958 353529 449946 471372 524937 549934 599928 699916 707058 824901 899892 942744 1049874 1099868 1399832 1414116 1574811 1649802 1799784 1924769 2099748 2199736 2474703 2828232 3149622 3299604 3849538 4199496 4949406 5774307 6299244 6599208 7699076 9898812 11548614 12598488 15398152 17322921 19797624 23097228 34645842 46194456 69291684 138583368
- Sum of all divisors σ(n): 476433360
- Sum of proper divisors (its aliquot sum) s(n): 337849992
- 138583368 is an abundant number, because the sum of its proper divisors (337849992) is greater than itself. Its abundance is 199266624
Bases of 138583368
- Binary: 10000100001010011101010010002
- Hexadecimal: 0x8429D48
- Base-36: 2AIBM0
Squares and roots of 138583368
- 138583368 squared (1385833682) is 19205349886223424
- 138583368 cubed (1385833683) is 2661542070851258898412032
-
The
square root of 138583368 is 11772.1437300095 -
The
cube root of 138583368 is 517.4920757729
Scales and comparisons
How big is 138583368?- 138,583,368 seconds is equal to 4 years, 21 weeks, 23 hours, 22 minutes, 48 seconds.
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To count from 1 to 138,583,368 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 138583368 cubic inches would be around 43.1 feet tall.
Recreational maths with 138583368
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