442163064
442,163,064 is an even composite number composed of five prime numbers multiplied together.
442163064 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 442163064:
23 × 3 × 72 × 172 × 1301
(2 × 2 × 2 × 3 × 7 × 7 × 17 × 17 × 1301)See below for interesting mathematical facts about the number 442163064 from the Numbermatics database.
Names of 442163064
- Cardinal: 442163064 can be written as Four hundred forty-two million, one hundred sixty-three thousand and sixty-four.
Scientific notation
- Scientific notation: 4.42163064 × 108
Factors of 442163064
Divisors of 442163064
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 289 294 357 392 408 476 578 588 714 833 867 952 1156 1176 1301 1428 1666 1734 2023 2312 2499 2602 2856 3332 3468 3903 4046 4998 5204 6069 6664 6936 7806 8092 9107 9996 10408 12138 14161 15612 16184 18214 19992 22117 24276 27321 28322 31224 36428 42483 44234 48552 54642 56644 63749 66351 72856 84966 88468 109284 113288 127498 132702 154819 169932 176936 191247 218568 254996 265404 309638 339864 375989 382494 464457 509992 530808 619276 751978 764988 928914 1083733 1127967 1238552 1503956 1529976 1857828 2167466 2255934 2631923 3007912 3251199 3715656 4334932 4511868 5263846 6502398 7895769 8669864 9023736 10527692 13004796 15791538 18423461 21055384 26009592 31583076 36846922 55270383 63166152 73693844 110540766 147387688 221081532 442163064
- Sum of all divisors σ(n): 1367021880
- Sum of proper divisors (its aliquot sum) s(n): 924858816
- 442163064 is an abundant number, because the sum of its proper divisors (924858816) is greater than itself. Its abundance is 482695752
Bases of 442163064
- Binary: 110100101101011011111011110002
- Hexadecimal: 0x1A5ADF78
- Base-36: 7B937C
Squares and roots of 442163064
- 442163064 squared (4421630642) is 195508175165868096
- 442163064 cubed (4421630643) is 86446493768388945547206144
-
The
square root of 442163064 is 21027.6737657785 -
The
cube root of 442163064 is 761.8348234231
Scales and comparisons
How big is 442163064?- 442,163,064 seconds is equal to 14 years, 3 weeks, 15 hours, 4 minutes, 24 seconds.
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To count from 1 to 442,163,064 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 442163064 cubic inches would be around 63.5 feet tall.
Recreational maths with 442163064
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