144148224
144,148,224 is an even composite number composed of five prime numbers multiplied together.
144148224 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 144148224:
28 × 3 × 11 × 113 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 113 × 151)See below for interesting mathematical facts about the number 144148224 from the Numbermatics database.
Names of 144148224
- Cardinal: 144148224 can be written as One hundred forty-four million, one hundred forty-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.44148224 × 108
Factors of 144148224
Divisors of 144148224
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 128 132 151 176 192 226 256 264 302 339 352 384 452 453 528 604 678 704 768 904 906 1056 1208 1243 1356 1408 1661 1808 1812 2112 2416 2486 2712 2816 3322 3616 3624 3729 4224 4832 4972 4983 5424 6644 7232 7248 7458 8448 9664 9944 9966 10848 13288 14464 14496 14916 17063 19328 19888 19932 21696 26576 28928 28992 29832 34126 38656 39776 39864 43392 51189 53152 57984 59664 68252 79552 79728 86784 102378 106304 115968 119328 136504 159104 159456 187693 204756 212608 238656 273008 318208 318912 375386 409512 425216 477312 546016 563079 637824 750772 819024 954624 1092032 1126158 1275648 1501544 1638048 2184064 2252316 3003088 3276096 4368128 4504632 6006176 6552192 9009264 12012352 13104384 18018528 24024704 36037056 48049408 72074112 144148224
- Sum of all divisors σ(n): 425021184
- Sum of proper divisors (its aliquot sum) s(n): 280872960
- 144148224 is an abundant number, because the sum of its proper divisors (280872960) is greater than itself. Its abundance is 136724736
Bases of 144148224
- Binary: 10001001011110000111000000002
- Hexadecimal: 0x8978700
- Base-36: 2DTLHC
Squares and roots of 144148224
- 144148224 squared (1441482242) is 20778710482354176
- 144148224 cubed (1441482243) is 2995214213041537809383424
-
The
square root of 144148224 is 12006.1744115267 -
The
cube root of 144148224 is 524.3280582699
Scales and comparisons
How big is 144148224?- 144,148,224 seconds is equal to 4 years, 30 weeks, 2 days, 9 hours, 10 minutes, 24 seconds.
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To count from 1 to 144,148,224 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 144148224 cubic inches would be around 43.7 feet tall.
Recreational maths with 144148224
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