442118144
442,118,144 is an even composite number composed of four prime numbers multiplied together.
442118144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred fifty-six divisors.
Prime factorization of 442118144:
212 × 13 × 192 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 19 × 19 × 23)See below for interesting mathematical facts about the number 442118144 from the Numbermatics database.
Names of 442118144
- Cardinal: 442118144 can be written as Four hundred forty-two million, one hundred eighteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.42118144 × 108
Factors of 442118144
Divisors of 442118144
- Number of divisors d(n): 156
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Complete list of divisors:
1 2 4 8 13 16 19 23 26 32 38 46 52 64 76 92 104 128 152 184 208 247 256 299 304 361 368 416 437 494 512 598 608 722 736 832 874 988 1024 1196 1216 1444 1472 1664 1748 1976 2048 2392 2432 2888 2944 3328 3496 3952 4096 4693 4784 4864 5681 5776 5888 6656 6992 7904 8303 9386 9568 9728 11362 11552 11776 13312 13984 15808 16606 18772 19136 19456 22724 23104 23552 26624 27968 31616 33212 37544 38272 38912 45448 46208 47104 53248 55936 63232 66424 75088 76544 77824 90896 92416 94208 107939 111872 126464 132848 150176 153088 181792 184832 215878 223744 252928 265696 300352 306176 363584 369664 431756 447488 505856 531392 600704 612352 727168 739328 863512 894976 1011712 1062784 1201408 1224704 1454336 1478656 1727024 1789952 2125568 2402816 2908672 3454048 4251136 4805632 5817344 6908096 8502272 9611264 11634688 13816192 17004544 19222528 23269376 27632384 34009088 55264768 110529536 221059072 442118144
- Sum of all divisors σ(n): 1048579056
- Sum of proper divisors (its aliquot sum) s(n): 606460912
- 442118144 is an abundant number, because the sum of its proper divisors (606460912) is greater than itself. Its abundance is 164342768
Bases of 442118144
- Binary: 110100101101000110000000000002
- Hexadecimal: 0x1A5A3000
- Base-36: 7B84JK
Squares and roots of 442118144
- 442118144 squared (4421181442) is 195468453254004736
- 442118144 cubed (4421181443) is 86420149763211334447529984
-
The
square root of 442118144 is 21026.6056224013 -
The
cube root of 442118144 is 761.8090239069
Scales and comparisons
How big is 442118144?- 442,118,144 seconds is equal to 14 years, 3 weeks, 2 hours, 35 minutes, 44 seconds.
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To count from 1 to 442,118,144 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 442118144 cubic inches would be around 63.5 feet tall.
Recreational maths with 442118144
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"Number 442118144 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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The information we have on file for 442118144 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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