38742144
38,742,144 is an even composite number composed of five prime numbers multiplied together.
38742144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 38742144:
27 × 3 × 72 × 29 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 29 × 71)See below for interesting mathematical facts about the number 38742144 from the Numbermatics database.
Names of 38742144
- Cardinal: 38742144 can be written as Thirty-eight million, seven hundred forty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.8742144 × 107
Factors of 38742144
Divisors of 38742144
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 64 71 84 87 96 98 112 116 128 142 147 168 174 192 196 203 213 224 232 284 294 336 348 384 392 406 426 448 464 497 568 588 609 672 696 784 812 852 896 928 994 1136 1176 1218 1344 1392 1421 1491 1568 1624 1704 1856 1988 2059 2272 2352 2436 2688 2784 2842 2982 3136 3248 3408 3479 3712 3976 4118 4263 4544 4704 4872 5568 5684 5964 6177 6272 6496 6816 6958 7952 8236 8526 9088 9408 9744 10437 11136 11368 11928 12354 12992 13632 13916 14413 15904 16472 17052 18816 19488 20874 22736 23856 24708 25984 27264 27832 28826 31808 32944 34104 38976 41748 43239 45472 47712 49416 55664 57652 63616 65888 68208 77952 83496 86478 90944 95424 98832 100891 111328 115304 131776 136416 166992 172956 181888 190848 197664 201782 222656 230608 263552 272832 302673 333984 345912 395328 403564 445312 461216 545664 605346 667968 691824 790656 807128 922432 1210692 1335936 1383648 1614256 1844864 2421384 2767296 3228512 4842768 5534592 6457024 9685536 12914048 19371072 38742144
- Sum of all divisors σ(n): 125582400
- Sum of proper divisors (its aliquot sum) s(n): 86840256
- 38742144 is an abundant number, because the sum of its proper divisors (86840256) is greater than itself. Its abundance is 48098112
Bases of 38742144
- Binary: 100100111100101000100000002
- Hexadecimal: 0x24F2880
- Base-36: N2DMO
Squares and roots of 38742144
- 38742144 squared (387421442) is 1500953721716736
- 38742144 cubed (387421443) is 58150165224085713321984
-
The
square root of 38742144 is 6224.3187579043 -
The
cube root of 38742144 is 338.3721028369
Scales and comparisons
How big is 38742144?- 38,742,144 seconds is equal to 1 year, 12 weeks, 9 hours, 42 minutes, 24 seconds.
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To count from 1 to 38,742,144 would take you about forty-four weeks!
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 38742144 cubic inches would be around 28.2 feet tall.
Recreational maths with 38742144
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The information we have on file for 38742144 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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