14128800
14,128,800 is an even composite number composed of five prime numbers multiplied together.
14128800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 14128800:
25 × 3 × 52 × 7 × 292
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 29 × 29)See below for interesting mathematical facts about the number 14128800 from the Numbermatics database.
Names of 14128800
- Cardinal: 14128800 can be written as Fourteen million, one hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.41288 × 107
Factors of 14128800
Divisors of 14128800
- Number of divisors d(n): 216
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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 29 30 32 35 40 42 48 50 56 58 60 70 75 80 84 87 96 100 105 112 116 120 140 145 150 160 168 174 175 200 203 210 224 232 240 280 290 300 336 348 350 400 406 420 435 464 480 525 560 580 600 609 672 696 700 725 800 812 840 841 870 928 1015 1050 1120 1160 1200 1218 1392 1400 1450 1624 1680 1682 1740 2030 2100 2175 2320 2400 2436 2523 2784 2800 2900 3045 3248 3360 3364 3480 4060 4200 4205 4350 4640 4872 5046 5075 5600 5800 5887 6090 6496 6728 6960 8120 8400 8410 8700 9744 10092 10150 11600 11774 12180 12615 13456 13920 15225 16240 16800 16820 17400 17661 19488 20184 20300 21025 23200 23548 24360 25230 26912 29435 30450 32480 33640 34800 35322 40368 40600 42050 47096 48720 50460 58870 60900 63075 67280 69600 70644 80736 81200 84100 88305 94192 97440 100920 117740 121800 126150 134560 141288 147175 162400 168200 176610 188384 201840 235480 243600 252300 282576 294350 336400 353220 403680 441525 470960 487200 504600 565152 588700 672800 706440 883050 941920 1009200 1177400 1412880 1766100 2018400 2354800 2825760 3532200 4709600 7064400 14128800
- Sum of all divisors σ(n): 54434016
- Sum of proper divisors (its aliquot sum) s(n): 40305216
- 14128800 is an abundant number, because the sum of its proper divisors (40305216) is greater than itself. Its abundance is 26176416
Bases of 14128800
- Binary: 1101011110010110101000002
- Hexadecimal: 0xD796A0
- Base-36: 8ETUO
Squares and roots of 14128800
- 14128800 squared (141288002) is 199622989440000
- 14128800 cubed (141288003) is 2820433293199872000000
-
The
square root of 14128800 is 3758.8296050767 -
The
cube root of 14128800 is 241.7510816213
Scales and comparisons
How big is 14128800?- 14,128,800 seconds is equal to 23 weeks, 2 days, 12 hours, 40 minutes.
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To count from 1 to 14,128,800 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 14128800 cubic inches would be around 20.1 feet tall.
Recreational maths with 14128800
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