428559120
428,559,120 is an even composite number composed of six prime numbers multiplied together.
428559120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 428559120:
24 × 33 × 5 × 11 × 17 × 1061
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 17 × 1061)See below for interesting mathematical facts about the number 428559120 from the Numbermatics database.
Names of 428559120
- Cardinal: 428559120 can be written as Four hundred twenty-eight million, five hundred fifty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2855912 × 108
Factors of 428559120
Divisors of 428559120
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 27 30 33 34 36 40 44 45 48 51 54 55 60 66 68 72 80 85 88 90 99 102 108 110 120 132 135 136 144 153 165 170 176 180 187 198 204 216 220 240 255 264 270 272 297 306 330 340 360 374 396 408 432 440 459 495 510 528 540 561 594 612 660 680 720 748 765 792 816 880 918 935 990 1020 1061 1080 1122 1188 1224 1320 1360 1485 1496 1530 1584 1683 1836 1870 1980 2040 2122 2160 2244 2295 2376 2448 2640 2805 2970 2992 3060 3183 3366 3672 3740 3960 4080 4244 4488 4590 4752 5049 5305 5610 5940 6120 6366 6732 7344 7480 7920 8415 8488 8976 9180 9549 10098 10610 11220 11671 11880 12240 12732 13464 14960 15915 16830 16976 18037 18360 19098 20196 21220 22440 23342 23760 25245 25464 26928 28647 31830 33660 35013 36074 36720 38196 40392 42440 44880 46684 47745 50490 50928 54111 57294 58355 63660 67320 70026 72148 76392 80784 84880 90185 93368 95490 100980 105039 108222 114588 116710 127320 134640 140052 143235 144296 152784 162333 175065 180370 186736 190980 198407 201960 210078 216444 229176 233420 254640 270555 280104 286470 288592 315117 324666 350130 360740 381960 396814 403920 420156 432888 458352 466840 486999 525195 541110 560208 572940 595221 630234 649332 700260 721480 763920 793628 811665 840312 865776 933680 973998 992035 1050390 1082220 1145880 1190442 1260468 1298664 1400520 1442960 1575585 1587256 1623330 1680624 1785663 1947996 1984070 2100780 2164440 2291760 2380884 2434995 2520936 2597328 2801040 2976105 3151170 3174512 3246660 3571326 3895992 3968140 4201560 4328880 4761768 4869990 5041872 5356989 5952210 6302340 6493320 7142652 7791984 7936280 8403120 8928315 9523536 9739980 10713978 11904420 12604680 12986640 14285304 15872560 17856630 19479960 21427956 23808840 25209360 26784945 28570608 35713260 38959920 42855912 47617680 53569890 71426520 85711824 107139780 142853040 214279560 428559120
- Sum of all divisors σ(n): 1706676480
- Sum of proper divisors (its aliquot sum) s(n): 1278117360
- 428559120 is an abundant number, because the sum of its proper divisors (1278117360) is greater than itself. Its abundance is 849558240
Bases of 428559120
- Binary: 110011000101101001011000100002
- Hexadecimal: 0x198B4B10
- Base-36: 735IC0
Squares and roots of 428559120
- 428559120 squared (4285591202) is 183662919335174400
- 428559120 cubed (4285591203) is 78710419086913325910528000
-
The
square root of 428559120 is 20701.6694978931 -
The
cube root of 428559120 is 753.9402232699
Scales and comparisons
How big is 428559120?- 428,559,120 seconds is equal to 13 years, 32 weeks, 4 days, 4 hours, 12 minutes.
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To count from 1 to 428,559,120 would take you about twenty 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 428559120 cubic inches would be around 62.8 feet tall.
Recreational maths with 428559120
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"Number 428559120 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 428559120 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/428559120/
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