42481920
42,481,920 is an even composite number composed of six prime numbers multiplied together.
42481920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42481920:
28 × 3 × 5 × 13 × 23 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 23 × 37)See below for interesting mathematical facts about the number 42481920 from the Numbermatics database.
Names of 42481920
- Cardinal: 42481920 can be written as Forty-two million, four hundred eighty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.248192 × 107
Factors of 42481920
Divisors of 42481920
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 32 37 39 40 46 48 52 60 64 65 69 74 78 80 92 96 104 111 115 120 128 130 138 148 156 160 184 185 192 195 208 222 230 240 256 260 276 296 299 312 320 345 368 370 384 390 416 444 460 480 481 520 552 555 592 598 624 640 690 736 740 768 780 832 851 888 897 920 960 962 1040 1104 1110 1184 1196 1248 1280 1380 1443 1472 1480 1495 1560 1664 1702 1776 1794 1840 1920 1924 2080 2208 2220 2368 2392 2405 2496 2553 2760 2886 2944 2960 2990 3120 3328 3404 3552 3588 3680 3840 3848 4160 4255 4416 4440 4485 4736 4784 4810 4992 5106 5520 5772 5888 5920 5980 6240 6808 7104 7176 7215 7360 7696 8320 8510 8832 8880 8970 9472 9568 9620 9984 10212 11040 11063 11544 11840 11960 12480 12765 13616 14208 14352 14430 14720 15392 16640 17020 17664 17760 17940 19136 19240 20424 22080 22126 23088 23680 23920 24960 25530 27232 28416 28704 28860 29440 30784 33189 34040 35520 35880 38272 38480 40848 44160 44252 46176 47360 47840 49920 51060 54464 55315 57408 57720 61568 66378 68080 71040 71760 76544 76960 81696 88320 88504 92352 95680 102120 108928 110630 114816 115440 123136 132756 136160 142080 143520 153920 163392 165945 177008 184704 191360 204240 217856 221260 229632 230880 265512 272320 287040 307840 326784 331890 354016 369408 382720 408480 442520 461760 531024 544640 574080 615680 653568 663780 708032 816960 885040 923520 1062048 1089280 1148160 1327560 1416064 1633920 1770080 1847040 2124096 2655120 2832128 3267840 3540160 4248192 5310240 7080320 8496384 10620480 14160640 21240960 42481920
- Sum of all divisors σ(n): 156586752
- Sum of proper divisors (its aliquot sum) s(n): 114104832
- 42481920 is an abundant number, because the sum of its proper divisors (114104832) is greater than itself. Its abundance is 71622912
Bases of 42481920
- Binary: 101000100000111001000000002
- Hexadecimal: 0x2883900
- Base-36: PAJ9C
Squares and roots of 42481920
- 42481920 squared (424819202) is 1804713526886400
- 42481920 cubed (424819203) is 76667695672105893888000
-
The
square root of 42481920 is 6517.8155849947 -
The
cube root of 42481920 is 348.9271090755
Scales and comparisons
How big is 42481920?- 42,481,920 seconds is equal to 1 year, 18 weeks, 1 day, 16 hours, 32 minutes.
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To count from 1 to 42,481,920 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 42481920 cubic inches would be around 29.1 feet tall.
Recreational maths with 42481920
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"Number 42481920 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
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Numbermatics. (2024). Number 42481920 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/42481920/
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