990144
990,144 is an even composite number composed of three prime numbers multiplied together.
What does the number 990144 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 70 divisors.
990144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy divisors.
Prime factorization of 990144:
26 × 34 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 191)See below for interesting mathematical facts about the number 990144 from the Numbermatics database.
Names of 990144
- Cardinal: 990144 can be written as Nine hundred ninety thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 9.90144 × 105
Factors of 990144
Divisors of 990144
- Number of divisors d(n): 70
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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 96 108 144 162 191 192 216 288 324 382 432 573 576 648 764 864 1146 1296 1528 1719 1728 2292 2592 3056 3438 4584 5157 5184 6112 6876 9168 10314 12224 13752 15471 18336 20628 27504 30942 36672 41256 55008 61884 82512 110016 123768 165024 247536 330048 495072 990144
- Sum of all divisors σ(n): 2950464
- Sum of proper divisors (its aliquot sum) s(n): 1960320
- 990144 is an abundant number, because the sum of its proper divisors (1960320) is greater than itself. Its abundance is 970176
Bases of 990144
- Binary: 111100011011110000002
- Hexadecimal: 0xF1BC0
- Base-36: L800
Squares and roots of 990144
- 990144 squared (9901442) is 980385140736
- 990144 cubed (9901443) is 970722464788905984
-
The
square root of 990144 is 995.0597971981 -
The
cube root of 990144 is 99.6703813761
Scales and comparisons
How big is 990144?- 990,144 seconds is equal to 1 week, 4 days, 11 hours, 2 minutes, 24 seconds.
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To count from 1 to 990,144 would take you about four days!
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 990144 cubic inches would be around 8.3 feet tall.
Recreational maths with 990144
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The information we have on file for 990144 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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