10742144
10,742,144 is an even composite number composed of four prime numbers multiplied together.
What does the number 10742144 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 64 divisors.
10742144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 10742144:
27 × 7 × 19 × 631
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 19 × 631)See below for interesting mathematical facts about the number 10742144 from the Numbermatics database.
Names of 10742144
- Cardinal: 10742144 can be written as Ten million, seven hundred forty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.0742144 × 107
Factors of 10742144
Divisors of 10742144
- Number of divisors d(n): 64
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Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 631 896 1064 1216 1262 2128 2432 2524 4256 4417 5048 8512 8834 10096 11989 17024 17668 20192 23978 35336 40384 47956 70672 80768 83923 95912 141344 167846 191824 282688 335692 383648 565376 671384 767296 1342768 1534592 2685536 5371072 10742144
- Sum of all divisors σ(n): 25785600
- Sum of proper divisors (its aliquot sum) s(n): 15043456
- 10742144 is an abundant number, because the sum of its proper divisors (15043456) is greater than itself. Its abundance is 4301312
Bases of 10742144
- Binary: 1010001111101001100000002
- Hexadecimal: 0xA3E980
- Base-36: 6E8OW
Squares and roots of 10742144
- 10742144 squared (107421442) is 115393657716736
- 10742144 cubed (107421443) is 1239575287879889321984
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The
square root of 10742144 is 3277.5210144253 -
The
cube root of 10742144 is 220.6464731247
Scales and comparisons
How big is 10742144?- 10,742,144 seconds is equal to 17 weeks, 5 days, 7 hours, 55 minutes, 44 seconds.
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To count from 1 to 10,742,144 would take you about twenty-six 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 10742144 cubic inches would be around 18.4 feet tall.
Recreational maths with 10742144
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The information we have on file for 10742144 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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