42468720
42,468,720 is an even composite number composed of six prime numbers multiplied together.
42468720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 42468720:
24 × 3 × 5 × 7 × 17 × 1487
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 1487)See below for interesting mathematical facts about the number 42468720 from the Numbermatics database.
Names of 42468720
- Cardinal: 42468720 can be written as Forty-two million, four hundred sixty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.246872 × 107
Factors of 42468720
Divisors of 42468720
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1487 1680 1785 1904 2040 2380 2856 2974 3570 4080 4461 4760 5712 5948 7140 7435 8922 9520 10409 11896 14280 14870 17844 20818 22305 23792 25279 28560 29740 31227 35688 41636 44610 50558 52045 59480 62454 71376 75837 83272 89220 101116 104090 118960 124908 126395 151674 156135 166544 176953 178440 202232 208180 249816 252790 303348 312270 353906 356880 379185 404464 416360 499632 505580 530859 606696 624540 707812 758370 832720 884765 1011160 1061718 1213392 1249080 1415624 1516740 1769530 2022320 2123436 2498160 2654295 2831248 3033480 3539060 4246872 5308590 6066960 7078120 8493744 10617180 14156240 21234360 42468720
- Sum of all divisors σ(n): 159418368
- Sum of proper divisors (its aliquot sum) s(n): 116949648
- 42468720 is an abundant number, because the sum of its proper divisors (116949648) is greater than itself. Its abundance is 74480928
Bases of 42468720
- Binary: 101000100000000101011100002
- Hexadecimal: 0x2880570
- Base-36: PA92O
Squares and roots of 42468720
- 42468720 squared (424687202) is 1803592178438400
- 42468720 cubed (424687203) is 76596251220290446848000
-
The
square root of 42468720 is 6516.8028971267 -
The
cube root of 42468720 is 348.8909657393
Scales and comparisons
How big is 42468720?- 42,468,720 seconds is equal to 1 year, 18 weeks, 1 day, 12 hours, 52 minutes.
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To count from 1 to 42,468,720 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 42468720 cubic inches would be around 29.1 feet tall.
Recreational maths with 42468720
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