12144800
12,144,800 is an even composite number composed of five prime numbers multiplied together.
12144800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 12144800:
25 × 52 × 17 × 19 × 47
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 19 × 47)See below for interesting mathematical facts about the number 12144800 from the Numbermatics database.
Names of 12144800
- Cardinal: 12144800 can be written as Twelve million, one hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.21448 × 107
Factors of 12144800
Divisors of 12144800
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 47 50 68 76 80 85 94 95 100 136 152 160 170 188 190 200 235 272 304 323 340 376 380 400 425 470 475 544 608 646 680 752 760 799 800 850 893 940 950 1175 1292 1360 1504 1520 1598 1615 1700 1786 1880 1900 2350 2584 2720 3040 3196 3230 3400 3572 3760 3800 3995 4465 4700 5168 6392 6460 6800 7144 7520 7600 7990 8075 8930 9400 10336 12784 12920 13600 14288 15181 15200 15980 16150 17860 18800 19975 22325 25568 25840 28576 30362 31960 32300 35720 37600 39950 44650 51680 60724 63920 64600 71440 75905 79900 89300 121448 127840 129200 142880 151810 159800 178600 242896 258400 303620 319600 357200 379525 485792 607240 639200 714400 759050 1214480 1518100 2428960 3036200 6072400 12144800
- Sum of all divisors σ(n): 33747840
- Sum of proper divisors (its aliquot sum) s(n): 21603040
- 12144800 is an abundant number, because the sum of its proper divisors (21603040) is greater than itself. Its abundance is 9458240
Bases of 12144800
- Binary: 1011100101010000101000002
- Hexadecimal: 0xB950A0
- Base-36: 78AZK
Squares and roots of 12144800
- 12144800 squared (121448002) is 147496167040000
- 12144800 cubed (121448003) is 1791311449467392000000
-
The
square root of 12144800 is 3484.9390238569 -
The
cube root of 12144800 is 229.8600282559
Scales and comparisons
How big is 12144800?- 12,144,800 seconds is equal to 20 weeks, 13 hours, 33 minutes, 20 seconds.
-
To count from 1 to 12,144,800 would take you about thirty 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 12144800 cubic inches would be around 19.2 feet tall.
Recreational maths with 12144800
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