14212800
14,212,800 is an even composite number composed of five prime numbers multiplied together.
14212800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 14212800:
26 × 33 × 52 × 7 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 47)See below for interesting mathematical facts about the number 14212800 from the Numbermatics database.
Names of 14212800
- Cardinal: 14212800 can be written as Fourteen million, two hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.42128 × 107
Factors of 14212800
Divisors of 14212800
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 47 48 50 54 56 60 63 64 70 72 75 80 84 90 94 96 100 105 108 112 120 126 135 140 141 144 150 160 168 175 180 188 189 192 200 210 216 224 225 235 240 252 270 280 282 288 300 315 320 329 336 350 360 376 378 400 420 423 432 448 450 470 480 504 525 540 560 564 576 600 630 658 672 675 700 705 720 752 756 800 840 846 864 900 940 945 960 987 1008 1050 1080 1120 1128 1175 1200 1260 1269 1316 1344 1350 1400 1410 1440 1504 1512 1575 1600 1645 1680 1692 1728 1800 1880 1890 1974 2016 2100 2115 2160 2240 2256 2350 2400 2520 2538 2632 2700 2800 2820 2880 2961 3008 3024 3150 3290 3360 3384 3525 3600 3760 3780 3948 4032 4200 4230 4320 4512 4700 4725 4800 4935 5040 5076 5264 5400 5600 5640 5922 6048 6300 6345 6580 6720 6768 7050 7200 7520 7560 7896 8225 8400 8460 8640 8883 9024 9400 9450 9870 10080 10152 10528 10575 10800 11200 11280 11844 12096 12600 12690 13160 13536 14100 14400 14805 15040 15120 15792 16450 16800 16920 17766 18800 18900 19740 20160 20304 21056 21150 21600 22560 23688 24675 25200 25380 26320 27072 28200 29610 30240 31584 31725 32900 33600 33840 35532 37600 37800 39480 40608 42300 43200 44415 45120 47376 49350 50400 50760 52640 56400 59220 60480 63168 63450 65800 67680 71064 74025 75200 75600 78960 81216 84600 88830 94752 98700 100800 101520 105280 112800 118440 126900 131600 135360 142128 148050 151200 157920 169200 177660 189504 197400 203040 222075 225600 236880 253800 263200 284256 296100 302400 315840 338400 355320 394800 406080 444150 473760 507600 526400 568512 592200 676800 710640 789600 888300 947520 1015200 1184400 1421280 1579200 1776600 2030400 2368800 2842560 3553200 4737600 7106400 14212800
- Sum of all divisors σ(n): 60472320
- Sum of proper divisors (its aliquot sum) s(n): 46259520
- 14212800 is an abundant number, because the sum of its proper divisors (46259520) is greater than itself. Its abundance is 32046720
Bases of 14212800
- Binary: 1101100011011110110000002
- Hexadecimal: 0xD8DEC0
- Base-36: 8GMO0
Squares and roots of 14212800
- 14212800 squared (142128002) is 202003683840000
- 14212800 cubed (142128003) is 2871037957681152000000
-
The
square root of 14212800 is 3769.9867373773 -
The
cube root of 14212800 is 242.2292297847
Scales and comparisons
How big is 14212800?- 14,212,800 seconds is equal to 23 weeks, 3 days, 12 hours.
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To count from 1 to 14,212,800 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 14212800 cubic inches would be around 20.2 feet tall.
Recreational maths with 14212800
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