442143936
442,143,936 is an even composite number composed of five prime numbers multiplied together.
442143936 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 442143936:
26 × 32 × 13 × 137 × 431
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 137 × 431)See below for interesting mathematical facts about the number 442143936 from the Numbermatics database.
Names of 442143936
- Cardinal: 442143936 can be written as Four hundred forty-two million, one hundred forty-three thousand, nine hundred thirty-six.
Scientific notation
- Scientific notation: 4.42143936 × 108
Factors of 442143936
Divisors of 442143936
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 137 144 156 192 208 234 274 288 312 411 416 431 468 548 576 624 822 832 862 936 1096 1233 1248 1293 1644 1724 1781 1872 2192 2466 2496 2586 3288 3448 3562 3744 3879 4384 4932 5172 5343 5603 6576 6896 7124 7488 7758 8768 9864 10344 10686 11206 13152 13792 14248 15516 16029 16809 19728 20688 21372 22412 26304 27584 28496 31032 32058 33618 39456 41376 42744 44824 50427 56992 59047 62064 64116 67236 78912 82752 85488 89648 100854 113984 118094 124128 128232 134472 170976 177141 179296 201708 236188 248256 256464 268944 341952 354282 358592 403416 472376 512928 531423 537888 708564 767611 806832 944752 1025856 1062846 1075776 1417128 1535222 1613664 1889504 2125692 2302833 2834256 3070444 3227328 3779008 4251384 4605666 5668512 6140888 6908499 8502768 9211332 11337024 12281776 13816998 17005536 18422664 24563552 27633996 34011072 36845328 49127104 55267992 73690656 110535984 147381312 221071968 442143936
- Sum of all divisors σ(n): 1377964224
- Sum of proper divisors (its aliquot sum) s(n): 935820288
- 442143936 is an abundant number, because the sum of its proper divisors (935820288) is greater than itself. Its abundance is 493676352
Bases of 442143936
- Binary: 110100101101010010100110000002
- Hexadecimal: 0x1A5A94C0
- Base-36: 7B8OG0
Squares and roots of 442143936
- 442143936 squared (4421439362) is 195491260141572096
- 442143936 cubed (4421439363) is 86435275212594603753209856
-
The
square root of 442143936 is 21027.2189316609 -
The
cube root of 442143936 is 761.8238375915
Scales and comparisons
How big is 442143936?- 442,143,936 seconds is equal to 14 years, 3 weeks, 9 hours, 45 minutes, 36 seconds.
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To count from 1 to 442,143,936 would take you about twenty-one 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 442143936 cubic inches would be around 63.5 feet tall.
Recreational maths with 442143936
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