242127144
242,127,144 is an even composite number composed of four prime numbers multiplied together.
242127144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 242127144:
23 × 38 × 7 × 659
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 659)See below for interesting mathematical facts about the number 242127144 from the Numbermatics database.
Names of 242127144
- Cardinal: 242127144 can be written as Two hundred forty-two million, one hundred twenty-seven thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 2.42127144 × 108
Factors of 242127144
Divisors of 242127144
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 659 729 756 972 1134 1318 1458 1512 1701 1944 1977 2187 2268 2636 2916 3402 3954 4374 4536 4613 5103 5272 5832 5931 6561 6804 7908 8748 9226 10206 11862 13122 13608 13839 15309 15816 17496 17793 18452 20412 23724 26244 27678 30618 35586 36904 40824 41517 45927 47448 52488 53379 55356 61236 71172 83034 91854 106758 110712 122472 124551 142344 160137 166068 183708 213516 249102 320274 332136 367416 373653 427032 480411 498204 640548 747306 960822 996408 1120959 1281096 1441233 1494612 1921644 2241918 2882466 2989224 3362877 3843288 4323699 4483836 5764932 6725754 8647398 8967672 10088631 11529864 13451508 17294796 20177262 26903016 30265893 34589592 40354524 60531786 80709048 121063572 242127144
- Sum of all divisors σ(n): 779407200
- Sum of proper divisors (its aliquot sum) s(n): 537280056
- 242127144 is an abundant number, because the sum of its proper divisors (537280056) is greater than itself. Its abundance is 295152912
Bases of 242127144
- Binary: 11100110111010010001001010002
- Hexadecimal: 0xE6E9128
- Base-36: 405MI0
Squares and roots of 242127144
- 242127144 squared (2421271442) is 58625553861596736
- 242127144 cubed (2421271443) is 14194837921926588967401984
-
The
square root of 242127144 is 15560.4352124225 -
The
cube root of 242127144 is 623.2770844097
Scales and comparisons
How big is 242127144?- 242,127,144 seconds is equal to 7 years, 36 weeks, 2 days, 9 hours, 32 minutes, 24 seconds.
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To count from 1 to 242,127,144 would take you about eleven 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 242127144 cubic inches would be around 51.9 feet tall.
Recreational maths with 242127144
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