12972288
12,972,288 is an even composite number composed of five prime numbers multiplied together.
12972288 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 12972288:
28 × 3 × 7 × 19 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 19 × 127)See below for interesting mathematical facts about the number 12972288 from the Numbermatics database.
Names of 12972288
- Cardinal: 12972288 can be written as Twelve million, nine hundred seventy-two thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.2972288 × 107
Factors of 12972288
Divisors of 12972288
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 127 128 133 152 168 192 224 228 254 256 266 304 336 381 384 399 448 456 508 532 608 672 762 768 798 889 896 912 1016 1064 1216 1344 1524 1596 1778 1792 1824 2032 2128 2413 2432 2667 2688 3048 3192 3556 3648 4064 4256 4826 4864 5334 5376 6096 6384 7112 7239 7296 8128 8512 9652 10668 12192 12768 14224 14478 14592 16256 16891 17024 19304 21336 24384 25536 28448 28956 32512 33782 34048 38608 42672 48768 50673 51072 56896 57912 67564 77216 85344 97536 101346 102144 113792 115824 135128 154432 170688 202692 227584 231648 270256 308864 341376 405384 463296 540512 617728 682752 810768 926592 1081024 1621536 1853184 2162048 3243072 4324096 6486144 12972288
- Sum of all divisors σ(n): 41861120
- Sum of proper divisors (its aliquot sum) s(n): 28888832
- 12972288 is an abundant number, because the sum of its proper divisors (28888832) is greater than itself. Its abundance is 15916544
Bases of 12972288
- Binary: 1100010111110001000000002
- Hexadecimal: 0xC5F100
- Base-36: 7Q1HC
Squares and roots of 12972288
- 12972288 squared (129722882) is 168280255954944
- 12972288 cubed (129722883) is 2182979944961248591872
-
The
square root of 12972288 is 3601.7062623151 -
The
cube root of 12972288 is 234.9662725099
Scales and comparisons
How big is 12972288?- 12,972,288 seconds is equal to 21 weeks, 3 days, 3 hours, 24 minutes, 48 seconds.
-
To count from 1 to 12,972,288 would take you about thirty-two 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 12972288 cubic inches would be around 19.6 feet tall.
Recreational maths with 12972288
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