42489120
42,489,120 is an even composite number composed of six prime numbers multiplied together.
42489120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 42489120:
25 × 3 × 5 × 17 × 41 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 41 × 127)See below for interesting mathematical facts about the number 42489120 from the Numbermatics database.
Names of 42489120
- Cardinal: 42489120 can be written as Forty-two million, four hundred eighty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.248912 × 107
Factors of 42489120
Divisors of 42489120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 41 48 51 60 68 80 82 85 96 102 120 123 127 136 160 164 170 204 205 240 246 254 255 272 328 340 381 408 410 480 492 508 510 544 615 635 656 680 697 762 816 820 984 1016 1020 1230 1270 1312 1360 1394 1524 1632 1640 1905 1968 2032 2040 2091 2159 2460 2540 2720 2788 3048 3280 3485 3810 3936 4064 4080 4182 4318 4920 5080 5207 5576 6096 6477 6560 6970 7620 8160 8364 8636 9840 10160 10414 10455 10795 11152 12192 12954 13940 15240 15621 16728 17272 19680 20320 20828 20910 21590 22304 25908 26035 27880 30480 31242 32385 33456 34544 41656 41820 43180 51816 52070 55760 60960 62484 64770 66912 69088 78105 83312 83640 86360 88519 103632 104140 111520 124968 129540 156210 166624 167280 172720 177038 207264 208280 249936 259080 265557 312420 334560 345440 354076 416560 442595 499872 518160 531114 624840 708152 833120 885190 1036320 1062228 1249680 1327785 1416304 1770380 2124456 2499360 2655570 2832608 3540760 4248912 5311140 7081520 8497824 10622280 14163040 21244560 42489120
- Sum of all divisors σ(n): 146313216
- Sum of proper divisors (its aliquot sum) s(n): 103824096
- 42489120 is an abundant number, because the sum of its proper divisors (103824096) is greater than itself. Its abundance is 61334976
Bases of 42489120
- Binary: 101000100001010101001000002
- Hexadecimal: 0x2885520
- Base-36: PAOTC
Squares and roots of 42489120
- 42489120 squared (424891202) is 1805325318374400
- 42489120 cubed (424891203) is 76706684091448086528000
-
The
square root of 42489120 is 6518.3678938827 -
The
cube root of 42489120 is 348.9468204671
Scales and comparisons
How big is 42489120?- 42,489,120 seconds is equal to 1 year, 18 weeks, 1 day, 18 hours, 32 minutes.
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To count from 1 to 42,489,120 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 42489120 cubic inches would be around 29.1 feet tall.
Recreational maths with 42489120
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