12006144
12,006,144 is an even composite number composed of three prime numbers multiplied together.
12006144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 12006144:
28 × 35 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 193)See below for interesting mathematical facts about the number 12006144 from the Numbermatics database.
Names of 12006144
- Cardinal: 12006144 can be written as Twelve million, six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.2006144 × 107
Factors of 12006144
Divisors of 12006144
- Number of divisors d(n): 108
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 193 216 243 256 288 324 384 386 432 486 576 579 648 768 772 864 972 1152 1158 1296 1544 1728 1737 1944 2304 2316 2592 3088 3456 3474 3888 4632 5184 5211 6176 6912 6948 7776 9264 10368 10422 12352 13896 15552 15633 18528 20736 20844 24704 27792 31104 31266 37056 41688 46899 49408 55584 62208 62532 74112 83376 93798 111168 125064 148224 166752 187596 222336 250128 333504 375192 444672 500256 667008 750384 1000512 1334016 1500768 2001024 3001536 4002048 6003072 12006144
- Sum of all divisors σ(n): 36084776
- Sum of proper divisors (its aliquot sum) s(n): 24078632
- 12006144 is an abundant number, because the sum of its proper divisors (24078632) is greater than itself. Its abundance is 12072488
Bases of 12006144
- Binary: 1011011100110011000000002
- Hexadecimal: 0xB73300
- Base-36: 75C00
Squares and roots of 12006144
- 12006144 squared (120061442) is 144147493748736
- 12006144 cubed (120061443) is 1730655567186424233984
-
The
square root of 12006144 is 3464.9883116685 -
The
cube root of 12006144 is 228.9819147569
Scales and comparisons
How big is 12006144?- 12,006,144 seconds is equal to 19 weeks, 5 days, 23 hours, 2 minutes, 24 seconds.
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To count from 1 to 12,006,144 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 12006144 cubic inches would be around 19.1 feet tall.
Recreational maths with 12006144
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