12072144
12,072,144 is an even composite number composed of six prime numbers multiplied together.
12072144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 12072144:
24 × 3 × 7 × 19 × 31 × 61
(2 × 2 × 2 × 2 × 3 × 7 × 19 × 31 × 61)See below for interesting mathematical facts about the number 12072144 from the Numbermatics database.
Names of 12072144
- Cardinal: 12072144 can be written as Twelve million, seventy-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.2072144 × 107
Factors of 12072144
Divisors of 12072144
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 56 57 61 62 76 84 93 112 114 122 124 133 152 168 183 186 217 228 244 248 266 304 336 366 372 399 427 434 456 488 496 532 589 651 732 744 798 854 868 912 976 1064 1159 1178 1281 1302 1464 1488 1596 1708 1736 1767 1891 2128 2318 2356 2562 2604 2928 3192 3416 3472 3477 3534 3782 4123 4636 4712 5124 5208 5673 6384 6832 6954 7068 7564 8113 8246 9272 9424 10248 10416 11346 12369 13237 13908 14136 15128 16226 16492 18544 20496 22692 24339 24738 26474 27816 28272 30256 32452 32984 35929 39711 45384 48678 49476 52948 55632 64904 65968 71858 79422 90768 97356 98952 105896 107787 129808 143716 158844 194712 197904 211792 215574 251503 287432 317688 389424 431148 503006 574864 635376 754509 862296 1006012 1509018 1724592 2012024 3018036 4024048 6036072 12072144
- Sum of all divisors σ(n): 39362560
- Sum of proper divisors (its aliquot sum) s(n): 27290416
- 12072144 is an abundant number, because the sum of its proper divisors (27290416) is greater than itself. Its abundance is 15218272
Bases of 12072144
- Binary: 1011100000110100110100002
- Hexadecimal: 0xB834D0
- Base-36: 76QXC
Squares and roots of 12072144
- 12072144 squared (120721442) is 145736660756736
- 12072144 cubed (120721443) is 1759353954734465961984
-
The
square root of 12072144 is 3474.4991005899 -
The
cube root of 12072144 is 229.4007335997
Scales and comparisons
How big is 12072144?- 12,072,144 seconds is equal to 19 weeks, 6 days, 17 hours, 22 minutes, 24 seconds.
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To count from 1 to 12,072,144 would take you about twenty-nine 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 12072144 cubic inches would be around 19.1 feet tall.
Recreational maths with 12072144
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