42381920
42,381,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 42381920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
42381920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 42381920:
25 × 5 × 7 × 79 × 479
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 79 × 479)See below for interesting mathematical facts about the number 42381920 from the Numbermatics database.
Names of 42381920
- Cardinal: 42381920 can be written as Forty-two million, three hundred eighty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.238192 × 107
Factors of 42381920
Divisors of 42381920
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 79 80 112 140 158 160 224 280 316 395 479 553 560 632 790 958 1106 1120 1264 1580 1916 2212 2395 2528 2765 3160 3353 3832 4424 4790 5530 6320 6706 7664 8848 9580 11060 12640 13412 15328 16765 17696 19160 22120 26824 33530 37841 38320 44240 53648 67060 75682 76640 88480 107296 134120 151364 189205 264887 268240 302728 378410 529774 536480 605456 756820 1059548 1210912 1324435 1513640 2119096 2648870 3027280 4238192 5297740 6054560 8476384 10595480 21190960 42381920
- Sum of all divisors σ(n): 116121600
- Sum of proper divisors (its aliquot sum) s(n): 73739680
- 42381920 is an abundant number, because the sum of its proper divisors (73739680) is greater than itself. Its abundance is 31357760
Bases of 42381920
- Binary: 101000011010110010011000002
- Hexadecimal: 0x286B260
- Base-36: P8E3K
Squares and roots of 42381920
- 42381920 squared (423819202) is 1796227142886400
- 42381920 cubed (423819203) is 76127555071639973888000
-
The
square root of 42381920 is 6510.1397834455 -
The
cube root of 42381920 is 348.6531091777
Scales and comparisons
How big is 42381920?- 42,381,920 seconds is equal to 1 year, 18 weeks, 12 hours, 45 minutes, 20 seconds.
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To count from 1 to 42,381,920 would take you about two 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 42381920 cubic inches would be around 29.1 feet tall.
Recreational maths with 42381920
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"Number 42381920 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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The information we have on file for 42381920 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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