13966400
13,966,400 is an even composite number composed of five prime numbers multiplied together.
13966400 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 13966400:
26 × 52 × 7 × 29 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 29 × 43)See below for interesting mathematical facts about the number 13966400 from the Numbermatics database.
Names of 13966400
- Cardinal: 13966400 can be written as Thirteen million, nine hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.39664 × 107
Factors of 13966400
Divisors of 13966400
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 43 50 56 58 64 70 80 86 100 112 116 140 145 160 172 175 200 203 215 224 232 280 290 301 320 344 350 400 406 430 448 464 560 580 602 688 700 725 800 812 860 928 1015 1075 1120 1160 1204 1247 1376 1400 1450 1505 1600 1624 1720 1856 2030 2150 2240 2320 2408 2494 2752 2800 2900 3010 3248 3440 4060 4300 4640 4816 4988 5075 5600 5800 6020 6235 6496 6880 7525 8120 8600 8729 9280 9632 9976 10150 11200 11600 12040 12470 12992 13760 15050 16240 17200 17458 19264 19952 20300 23200 24080 24940 30100 31175 32480 34400 34916 39904 40600 43645 46400 48160 49880 60200 62350 64960 68800 69832 79808 81200 87290 96320 99760 120400 124700 139664 162400 174580 199520 218225 240800 249400 279328 324800 349160 399040 436450 481600 498800 558656 698320 872900 997600 1396640 1745800 1995200 2793280 3491600 6983200 13966400
- Sum of all divisors σ(n): 41574720
- Sum of proper divisors (its aliquot sum) s(n): 27608320
- 13966400 is an abundant number, because the sum of its proper divisors (27608320) is greater than itself. Its abundance is 13641920
Bases of 13966400
- Binary: 1101010100011100010000002
- Hexadecimal: 0xD51C40
- Base-36: 8BCJK
Squares and roots of 13966400
- 13966400 squared (139664002) is 195060328960000
- 13966400 cubed (139664003) is 2724290578386944000000
-
The
square root of 13966400 is 3737.1647006789 -
The
cube root of 13966400 is 240.8212605813
Scales and comparisons
How big is 13966400?- 13,966,400 seconds is equal to 23 weeks, 15 hours, 33 minutes, 20 seconds.
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To count from 1 to 13,966,400 would take you about thirty-four 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 13966400 cubic inches would be around 20.1 feet tall.
Recreational maths with 13966400
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