10401144
10,401,144 is an even composite number composed of six prime numbers multiplied together.
10401144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 10401144:
23 × 3 × 13 × 17 × 37 × 53
(2 × 2 × 2 × 3 × 13 × 17 × 37 × 53)See below for interesting mathematical facts about the number 10401144 from the Numbermatics database.
Names of 10401144
- Cardinal: 10401144 can be written as Ten million, four hundred one thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.0401144 × 107
Factors of 10401144
Divisors of 10401144
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 12 13 17 24 26 34 37 39 51 52 53 68 74 78 102 104 106 111 136 148 156 159 204 212 221 222 296 312 318 408 424 442 444 481 629 636 663 689 884 888 901 962 1258 1272 1326 1378 1443 1768 1802 1887 1924 1961 2067 2516 2652 2703 2756 2886 3604 3774 3848 3922 4134 5032 5304 5406 5512 5772 5883 7208 7548 7844 8177 8268 10812 11544 11713 11766 15096 15688 16354 16536 21624 23426 23532 24531 25493 32708 33337 35139 46852 47064 49062 50986 65416 66674 70278 76479 93704 98124 100011 101972 133348 140556 152958 196248 200022 203944 266696 281112 305916 400044 433381 611832 800088 866762 1300143 1733524 2600286 3467048 5200572 10401144
- Sum of all divisors σ(n): 31026240
- Sum of proper divisors (its aliquot sum) s(n): 20625096
- 10401144 is an abundant number, because the sum of its proper divisors (20625096) is greater than itself. Its abundance is 10223952
Bases of 10401144
- Binary: 1001111010110101011110002
- Hexadecimal: 0x9EB578
- Base-36: 66XKO
Squares and roots of 10401144
- 10401144 squared (104011442) is 108183796508736
- 10401144 cubed (104011443) is 1125235245954060393984
-
The
square root of 10401144 is 3225.0804641125 -
The
cube root of 10401144 is 218.2865798665
Scales and comparisons
How big is 10401144?- 10,401,144 seconds is equal to 17 weeks, 1 day, 9 hours, 12 minutes, 24 seconds.
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To count from 1 to 10,401,144 would take you about twenty-five 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 10401144 cubic inches would be around 18.2 feet tall.
Recreational maths with 10401144
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