144916128
144,916,128 is an even composite number composed of four prime numbers multiplied together.
144916128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 144916128:
25 × 34 × 73 × 163
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 163)See below for interesting mathematical facts about the number 144916128 from the Numbermatics database.
Names of 144916128
- Cardinal: 144916128 can be written as One hundred forty-four million, nine hundred sixteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.44916128 × 108
Factors of 144916128
Divisors of 144916128
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 98 108 112 126 144 147 162 163 168 189 196 216 224 252 288 294 324 326 336 343 378 392 432 441 489 504 567 588 648 652 672 686 756 784 864 882 978 1008 1029 1134 1141 1176 1296 1304 1323 1372 1467 1512 1568 1764 1956 2016 2058 2268 2282 2352 2592 2608 2646 2744 2934 3024 3087 3423 3528 3912 3969 4116 4401 4536 4564 4704 5216 5292 5488 5868 6048 6174 6846 7056 7824 7938 7987 8232 8802 9072 9128 9261 10269 10584 10976 11736 12348 13203 13692 14112 15648 15876 15974 16464 17604 18144 18256 18522 20538 21168 23472 23961 24696 26406 27384 27783 30807 31752 31948 32928 35208 36512 37044 41076 42336 46944 47922 49392 52812 54768 55566 55909 61614 63504 63896 70416 71883 74088 82152 92421 95844 98784 105624 109536 111132 111818 123228 127008 127792 140832 143766 148176 164304 167727 184842 191688 211248 215649 222264 223636 246456 255584 287532 296352 328608 335454 369684 383376 422496 431298 444528 447272 492912 503181 575064 646947 670908 739368 766752 862596 889056 894544 985824 1006362 1150128 1293894 1341816 1478736 1509543 1725192 1789088 2012724 2300256 2587788 2683632 2957472 3019086 3450384 4025448 4528629 5175576 5367264 6038172 6900768 8050896 9057258 10351152 12076344 16101792 18114516 20702304 24152688 36229032 48305376 72458064 144916128
- Sum of all divisors σ(n): 500068800
- Sum of proper divisors (its aliquot sum) s(n): 355152672
- 144916128 is an abundant number, because the sum of its proper divisors (355152672) is greater than itself. Its abundance is 210236544
Bases of 144916128
- Binary: 10001010001100111110101000002
- Hexadecimal: 0x8A33EA0
- Base-36: 2EA200
Squares and roots of 144916128
- 144916128 squared (1449161282) is 21000684154512384
- 144916128 cubed (1449161283) is 3043337833022888417329152
-
The
square root of 144916128 is 12038.1114797961 -
The
cube root of 144916128 is 525.2574737075
Scales and comparisons
How big is 144916128?- 144,916,128 seconds is equal to 4 years, 31 weeks, 4 days, 6 hours, 28 minutes, 48 seconds.
-
To count from 1 to 144,916,128 would take you about six years!
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 144916128 cubic inches would be around 43.8 feet tall.
Recreational maths with 144916128
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