13122144
13,122,144 is an even composite number composed of five prime numbers multiplied together.
13122144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 13122144:
25 × 32 × 7 × 23 × 283
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 23 × 283)See below for interesting mathematical facts about the number 13122144 from the Numbermatics database.
Names of 13122144
- Cardinal: 13122144 can be written as Thirteen million, one hundred twenty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3122144 × 107
Factors of 13122144
Divisors of 13122144
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 283 288 322 336 368 414 483 504 552 566 644 672 736 828 849 966 1008 1104 1132 1288 1449 1656 1698 1932 1981 2016 2208 2264 2547 2576 2898 3312 3396 3864 3962 4528 5094 5152 5796 5943 6509 6624 6792 7728 7924 9056 10188 11592 11886 13018 13584 15456 15848 17829 19527 20376 23184 23772 26036 27168 31696 35658 39054 40752 45563 46368 47544 52072 58581 63392 71316 78108 81504 91126 95088 104144 117162 136689 142632 156216 182252 190176 208288 234324 273378 285264 312432 364504 410067 468648 546756 570528 624864 729008 820134 937296 1093512 1458016 1640268 1874592 2187024 3280536 4374048 6561072 13122144
- Sum of all divisors σ(n): 44658432
- Sum of proper divisors (its aliquot sum) s(n): 31536288
- 13122144 is an abundant number, because the sum of its proper divisors (31536288) is greater than itself. Its abundance is 18414144
Bases of 13122144
- Binary: 1100100000111010011000002
- Hexadecimal: 0xC83A60
- Base-36: 7T940
Squares and roots of 13122144
- 13122144 squared (131221442) is 172190663156736
- 13122144 cubed (131221443) is 2259510677398184361984
-
The
square root of 13122144 is 3622.4499996549 -
The
cube root of 13122144 is 235.8675882711
Scales and comparisons
How big is 13122144?- 13,122,144 seconds is equal to 21 weeks, 4 days, 21 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,122,144 would take you about thirty-two 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 13122144 cubic inches would be around 19.7 feet tall.
Recreational maths with 13122144
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