420138720
420,138,720 is an even composite number composed of five prime numbers multiplied together.
420138720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 420138720:
25 × 32 × 5 × 61 × 4783
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 61 × 4783)See below for interesting mathematical facts about the number 420138720 from the Numbermatics database.
Names of 420138720
- Cardinal: 420138720 can be written as Four hundred twenty million, one hundred thirty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.2013872 × 108
Factors of 420138720
Divisors of 420138720
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 720 732 915 976 1098 1220 1440 1464 1830 1952 2196 2440 2745 2928 3660 4392 4783 4880 5490 5856 7320 8784 9566 9760 10980 14349 14640 17568 19132 21960 23915 28698 29280 38264 43047 43920 47830 57396 71745 76528 86094 87840 95660 114792 143490 153056 172188 191320 215235 229584 286980 291763 344376 382640 430470 459168 573960 583526 688752 765280 860940 875289 1147920 1167052 1377504 1458815 1721880 1750578 2295840 2334104 2625867 2917630 3443760 3501156 4376445 4668208 5251734 5835260 6887520 7002312 8752890 9336416 10503468 11670520 13129335 14004624 17505780 21006936 23341040 26258670 28009248 35011560 42013872 46682080 52517340 70023120 84027744 105034680 140046240 210069360 420138720
- Sum of all divisors σ(n): 1457531712
- Sum of proper divisors (its aliquot sum) s(n): 1037392992
- 420138720 is an abundant number, because the sum of its proper divisors (1037392992) is greater than itself. Its abundance is 617254272
Bases of 420138720
- Binary: 110010000101011001110111000002
- Hexadecimal: 0x190ACEE0
- Base-36: 6Y5140
Squares and roots of 420138720
- 420138720 squared (4201387202) is 176516544043238400
- 420138720 cubed (4201387203) is 74161434873149806030848000
-
The
square root of 420138720 is 20497.2856739619 -
The
cube root of 420138720 is 748.9696785651
Scales and comparisons
How big is 420138720?- 420,138,720 seconds is equal to 13 years, 18 weeks, 4 days, 17 hours, 12 minutes.
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To count from 1 to 420,138,720 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 420138720 cubic inches would be around 62.4 feet tall.
Recreational maths with 420138720
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