14164800
14,164,800 is an even composite number composed of five prime numbers multiplied together.
14164800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 14164800:
26 × 3 × 52 × 13 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 227)See below for interesting mathematical facts about the number 14164800 from the Numbermatics database.
Names of 14164800
- Cardinal: 14164800 can be written as Fourteen million, one hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.41648 × 107
Factors of 14164800
Divisors of 14164800
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 130 150 156 160 192 195 200 208 227 240 260 300 312 320 325 390 400 416 454 480 520 600 624 650 681 780 800 832 908 960 975 1040 1135 1200 1248 1300 1362 1560 1600 1816 1950 2080 2270 2400 2496 2600 2724 2951 3120 3405 3632 3900 4160 4540 4800 5200 5448 5675 5902 6240 6810 7264 7800 8853 9080 10400 10896 11350 11804 12480 13620 14528 14755 15600 17025 17706 18160 20800 21792 22700 23608 27240 29510 31200 34050 35412 36320 43584 44265 45400 47216 54480 59020 62400 68100 70824 72640 73775 88530 90800 94432 108960 118040 136200 141648 147550 177060 181600 188864 217920 221325 236080 272400 283296 295100 354120 363200 442650 472160 544800 566592 590200 708240 885300 944320 1089600 1180400 1416480 1770600 2360800 2832960 3541200 4721600 7082400 14164800
- Sum of all divisors σ(n): 50267616
- Sum of proper divisors (its aliquot sum) s(n): 36102816
- 14164800 is an abundant number, because the sum of its proper divisors (36102816) is greater than itself. Its abundance is 21938016
Bases of 14164800
- Binary: 1101100000100011010000002
- Hexadecimal: 0xD82340
- Base-36: 8FLMO
Squares and roots of 14164800
- 14164800 squared (141648002) is 200641559040000
- 14164800 cubed (141648003) is 2842047555489792000000
-
The
square root of 14164800 is 3763.6152832085 -
The
cube root of 14164800 is 241.9562336899
Scales and comparisons
How big is 14164800?- 14,164,800 seconds is equal to 23 weeks, 2 days, 22 hours, 40 minutes.
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To count from 1 to 14,164,800 would take you about thirty-five weeks!
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 14164800 cubic inches would be around 20.2 feet tall.
Recreational maths with 14164800
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