12168800
12,168,800 is an even composite number composed of five prime numbers multiplied together.
12168800 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 12168800:
25 × 52 × 7 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 41 × 53)See below for interesting mathematical facts about the number 12168800 from the Numbermatics database.
Names of 12168800
- Cardinal: 12168800 can be written as Twelve million, one hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.21688 × 107
Factors of 12168800
Divisors of 12168800
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 50 53 56 70 80 82 100 106 112 140 160 164 175 200 205 212 224 265 280 287 328 350 371 400 410 424 530 560 574 656 700 742 800 820 848 1025 1060 1120 1148 1312 1325 1400 1435 1484 1640 1696 1855 2050 2120 2173 2296 2650 2800 2870 2968 3280 3710 4100 4240 4346 4592 5300 5600 5740 5936 6560 7175 7420 8200 8480 8692 9184 9275 10600 10865 11480 11872 14350 14840 15211 16400 17384 18550 21200 21730 22960 28700 29680 30422 32800 34768 37100 42400 43460 45920 54325 57400 59360 60844 69536 74200 76055 86920 108650 114800 121688 148400 152110 173840 217300 229600 243376 296800 304220 347680 380275 434600 486752 608440 760550 869200 1216880 1521100 1738400 2433760 3042200 6084400 12168800
- Sum of all divisors σ(n): 35435232
- Sum of proper divisors (its aliquot sum) s(n): 23266432
- 12168800 is an abundant number, because the sum of its proper divisors (23266432) is greater than itself. Its abundance is 11097632
Bases of 12168800
- Binary: 1011100110101110011000002
- Hexadecimal: 0xB9AE60
- Base-36: 78TI8
Squares and roots of 12168800
- 12168800 squared (121688002) is 148079693440000
- 12168800 cubed (121688003) is 1801952173532672000000
-
The
square root of 12168800 is 3488.3807131677 -
The
cube root of 12168800 is 230.0113415957
Scales and comparisons
How big is 12168800?- 12,168,800 seconds is equal to 20 weeks, 20 hours, 13 minutes, 20 seconds.
-
To count from 1 to 12,168,800 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 12168800 cubic inches would be around 19.2 feet tall.
Recreational maths with 12168800
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The information we have on file for 12168800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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