14382144
14,382,144 is an even composite number composed of five prime numbers multiplied together.
14382144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 14382144:
26 × 33 × 7 × 29 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 29 × 41)See below for interesting mathematical facts about the number 14382144 from the Numbermatics database.
Names of 14382144
- Cardinal: 14382144 can be written as Fourteen million, three hundred eighty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.4382144 × 107
Factors of 14382144
Divisors of 14382144
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 41 42 48 54 56 58 63 64 72 82 84 87 96 108 112 116 123 126 144 164 168 174 189 192 203 216 224 232 246 252 261 287 288 328 336 348 369 378 406 432 448 464 492 504 522 574 576 609 656 672 696 738 756 783 812 861 864 928 984 1008 1044 1107 1148 1189 1218 1312 1344 1392 1476 1512 1566 1624 1722 1728 1827 1856 1968 2016 2088 2214 2296 2378 2436 2583 2624 2784 2952 3024 3132 3248 3444 3567 3654 3936 4032 4176 4428 4592 4756 4872 5166 5481 5568 5904 6048 6264 6496 6888 7134 7308 7749 7872 8323 8352 8856 9184 9512 9744 10332 10701 10962 11808 12096 12528 12992 13776 14268 14616 15498 16646 16704 17712 18368 19024 19488 20664 21402 21924 23616 24969 25056 27552 28536 29232 30996 32103 33292 35424 38048 38976 41328 42804 43848 49938 50112 55104 57072 58464 61992 64206 66584 70848 74907 76096 82656 85608 87696 99876 114144 116928 123984 128412 133168 149814 165312 171216 175392 199752 224721 228288 247968 256824 266336 299628 342432 350784 399504 449442 495936 513648 532672 599256 684864 799008 898884 1027296 1198512 1598016 1797768 2054592 2397024 3595536 4794048 7191072 14382144
- Sum of all divisors σ(n): 51206400
- Sum of proper divisors (its aliquot sum) s(n): 36824256
- 14382144 is an abundant number, because the sum of its proper divisors (36824256) is greater than itself. Its abundance is 22442112
Bases of 14382144
- Binary: 1101101101110100010000002
- Hexadecimal: 0xDB7440
- Base-36: 8K9C0
Squares and roots of 14382144
- 14382144 squared (143821442) is 206846066036736
- 14382144 cubed (143821443) is 2974889907573846441984
-
The
square root of 14382144 is 3792.3797278227 -
The
cube root of 14382144 is 243.1874791569
Scales and comparisons
How big is 14382144?- 14,382,144 seconds is equal to 23 weeks, 5 days, 11 hours, 2 minutes, 24 seconds.
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To count from 1 to 14,382,144 would take you about thirty-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 14382144 cubic inches would be around 20.3 feet tall.
Recreational maths with 14382144
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