13801200
13,801,200 is an even composite number composed of six prime numbers multiplied together.
13801200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 13801200:
24 × 3 × 52 × 7 × 31 × 53
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 31 × 53)See below for interesting mathematical facts about the number 13801200 from the Numbermatics database.
Names of 13801200
- Cardinal: 13801200 can be written as Thirteen million, eight hundred one thousand, two hundred.
Scientific notation
- Scientific notation: 1.38012 × 107
Factors of 13801200
Divisors of 13801200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 35 40 42 48 50 53 56 60 62 70 75 80 84 93 100 105 106 112 120 124 140 150 155 159 168 175 186 200 210 212 217 240 248 265 280 300 310 318 336 350 371 372 400 420 424 434 465 496 525 530 560 600 620 636 651 700 742 744 775 795 840 848 868 930 1050 1060 1085 1113 1200 1240 1272 1302 1325 1400 1484 1488 1550 1590 1643 1680 1736 1855 1860 2100 2120 2170 2226 2325 2480 2544 2604 2650 2800 2968 3100 3180 3255 3286 3472 3710 3720 3975 4200 4240 4340 4452 4650 4929 5208 5300 5425 5565 5936 6200 6360 6510 6572 7420 7440 7950 8215 8400 8680 8904 9275 9300 9858 10416 10600 10850 11130 11501 12400 12720 13020 13144 14840 15900 16275 16430 17360 17808 18550 18600 19716 21200 21700 22260 23002 24645 26040 26288 27825 29680 31800 32550 32860 34503 37100 37200 39432 41075 43400 44520 46004 49290 52080 55650 57505 63600 65100 65720 69006 74200 78864 82150 86800 89040 92008 98580 111300 115010 123225 130200 131440 138012 148400 164300 172515 184016 197160 222600 230020 246450 260400 276024 287525 328600 345030 394320 445200 460040 492900 552048 575050 657200 690060 862575 920080 985800 1150100 1380120 1725150 1971600 2300200 2760240 3450300 4600400 6900600 13801200
- Sum of all divisors σ(n): 53139456
- Sum of proper divisors (its aliquot sum) s(n): 39338256
- 13801200 is an abundant number, because the sum of its proper divisors (39338256) is greater than itself. Its abundance is 25537056
Bases of 13801200
- Binary: 1101001010010110111100002
- Hexadecimal: 0xD296F0
- Base-36: 87T2O
Squares and roots of 13801200
- 13801200 squared (138012002) is 190473121440000
- 13801200 cubed (138012003) is 2628757643617728000000
-
The
square root of 13801200 is 3714.9966352609 -
The
cube root of 13801200 is 239.8679829501
Scales and comparisons
How big is 13801200?- 13,801,200 seconds is equal to 22 weeks, 5 days, 17 hours, 40 minutes.
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To count from 1 to 13,801,200 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 13801200 cubic inches would be around 20 feet tall.
Recreational maths with 13801200
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