14968800
14,968,800 is an even composite number composed of five prime numbers multiplied together.
14968800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 14968800:
25 × 35 × 52 × 7 × 11
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 11)See below for interesting mathematical facts about the number 14968800 from the Numbermatics database.
Names of 14968800
- Cardinal: 14968800 can be written as Fourteen million, nine hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.49688 × 107
Factors of 14968800
Divisors of 14968800
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 32 33 35 36 40 42 44 45 48 50 54 55 56 60 63 66 70 72 75 77 80 81 84 88 90 96 99 100 105 108 110 112 120 126 132 135 140 144 150 154 160 162 165 168 175 176 180 189 198 200 210 216 220 224 225 231 240 243 252 264 270 275 280 288 297 300 308 315 324 330 336 350 352 360 378 385 396 400 405 420 432 440 450 462 480 486 495 504 525 528 540 550 560 567 594 600 616 630 648 660 672 675 693 700 720 756 770 792 800 810 825 840 864 880 891 900 924 945 972 990 1008 1050 1056 1080 1100 1120 1134 1155 1188 1200 1215 1232 1260 1296 1320 1350 1386 1400 1440 1485 1512 1540 1575 1584 1620 1650 1680 1701 1760 1782 1800 1848 1890 1925 1944 1980 2016 2025 2079 2100 2160 2200 2268 2310 2376 2400 2430 2464 2475 2520 2592 2640 2673 2700 2772 2800 2835 2970 3024 3080 3150 3168 3240 3300 3360 3402 3465 3564 3600 3696 3780 3850 3888 3960 4050 4158 4200 4320 4400 4455 4536 4620 4725 4752 4860 4950 5040 5280 5346 5400 5544 5600 5670 5775 5940 6048 6075 6160 6237 6300 6480 6600 6804 6930 7128 7200 7392 7425 7560 7700 7776 7920 8100 8316 8400 8505 8800 8910 9072 9240 9450 9504 9720 9900 10080 10395 10692 10800 11088 11340 11550 11880 12150 12320 12474 12600 12960 13200 13365 13608 13860 14175 14256 14850 15120 15400 15840 16200 16632 16800 17010 17325 17820 18144 18480 18711 18900 19440 19800 20790 21384 21600 22176 22275 22680 23100 23760 24300 24948 25200 26400 26730 27216 27720 28350 28512 29700 30240 30800 31185 32400 33264 34020 34650 35640 36960 37422 37800 38880 39600 41580 42525 42768 44550 45360 46200 47520 48600 49896 50400 51975 53460 54432 55440 56700 59400 61600 62370 64800 66528 66825 68040 69300 71280 74844 75600 79200 83160 85050 85536 89100 90720 92400 93555 97200 99792 103950 106920 110880 113400 118800 124740 133650 136080 138600 142560 149688 151200 155925 166320 170100 178200 184800 187110 194400 199584 207900 213840 226800 237600 249480 267300 272160 277200 299376 311850 332640 340200 356400 374220 415800 427680 453600 467775 498960 534600 554400 598752 623700 680400 712800 748440 831600 935550 997920 1069200 1247400 1360800 1496880 1663200 1871100 2138400 2494800 2993760 3742200 4989600 7484400 14968800
- Sum of all divisors σ(n): 68245632
- Sum of proper divisors (its aliquot sum) s(n): 53276832
- 14968800 is an abundant number, because the sum of its proper divisors (53276832) is greater than itself. Its abundance is 38308032
Bases of 14968800
- Binary: 1110010001100111111000002
- Hexadecimal: 0xE467E0
- Base-36: 8WU00
Squares and roots of 14968800
- 14968800 squared (149688002) is 224064973440000
- 14968800 cubed (149688003) is 3353983774428672000000
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The
square root of 14968800 is 3868.9533468369 -
The
cube root of 14968800 is 246.4500980385
Scales and comparisons
How big is 14968800?- 14,968,800 seconds is equal to 24 weeks, 5 days, 6 hours.
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To count from 1 to 14,968,800 would take you about thirty-seven 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 14968800 cubic inches would be around 20.5 feet tall.
Recreational maths with 14968800
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