428625540
428,625,540 is an even composite number composed of six prime numbers multiplied together.
428625540 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 428625540:
22 × 33 × 5 × 72 × 97 × 167
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 97 × 167)See below for interesting mathematical facts about the number 428625540 from the Numbermatics database.
Names of 428625540
- Cardinal: 428625540 can be written as Four hundred twenty-eight million, six hundred twenty-five thousand, five hundred forty.
Scientific notation
- Scientific notation: 4.2862554 × 108
Factors of 428625540
Divisors of 428625540
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 97 98 105 108 126 135 140 147 167 180 189 194 196 210 245 252 270 291 294 315 334 378 388 420 441 485 490 501 540 582 588 630 668 679 735 756 835 873 882 945 970 980 1002 1164 1169 1260 1323 1358 1455 1470 1503 1670 1746 1764 1890 1940 2004 2037 2205 2338 2505 2619 2646 2716 2910 2940 3006 3340 3395 3492 3507 3780 4074 4365 4410 4509 4676 4753 5010 5238 5292 5820 5845 6012 6111 6615 6790 7014 7515 8148 8183 8730 8820 9018 9506 10020 10185 10476 10521 11690 12222 13095 13230 13580 14028 14259 15030 16199 16366 17460 17535 18036 18333 19012 20370 21042 22545 23380 23765 24444 24549 26190 26460 28518 30060 30555 31563 32398 32732 35070 36666 40740 40915 42084 42777 45090 47530 48597 49098 52380 52605 57036 61110 63126 64796 70140 71295 73332 73647 80995 81830 85554 90180 91665 95060 97194 98196 105210 113393 122220 122745 126252 128331 142590 145791 147294 157815 161990 163660 171108 183330 194388 210420 213885 220941 226786 242985 245490 256662 285180 291582 294588 315630 323980 340179 366660 368235 427770 437373 441882 453572 485970 490980 513324 566965 583164 631260 641655 680358 728955 736470 793751 855540 874746 883764 971940 1020537 1104705 1133930 1283310 1360716 1457910 1472940 1587502 1700895 1749492 2041074 2186865 2209410 2267860 2381253 2566620 2915820 3061611 3175004 3401790 3968755 4082148 4373730 4418820 4762506 5102685 6123222 6803580 7143759 7937510 8747460 9525012 10205370 11906265 12246444 14287518 15308055 15875020 20410740 21431277 23812530 28575036 30616110 35718795 42862554 47625060 61232220 71437590 85725108 107156385 142875180 214312770 428625540
- Sum of all divisors σ(n): 1576592640
- Sum of proper divisors (its aliquot sum) s(n): 1147967100
- 428625540 is an abundant number, because the sum of its proper divisors (1147967100) is greater than itself. Its abundance is 719341560
Bases of 428625540
- Binary: 110011000110001001110100001002
- Hexadecimal: 0x198C4E84
- Base-36: 736XL0
Squares and roots of 428625540
- 428625540 squared (4286255402) is 183719853540291600
- 428625540 cubed (4286255403) is 78747021432428398807464000
-
The
square root of 428625540 is 20703.2736541831 -
The
cube root of 428625540 is 753.9791709285
Scales and comparisons
How big is 428625540?- 428,625,540 seconds is equal to 13 years, 32 weeks, 4 days, 22 hours, 39 minutes.
-
To count from 1 to 428,625,540 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 428625540 cubic inches would be around 62.8 feet tall.
Recreational maths with 428625540
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