144349968
144,349,968 is an even composite number composed of six prime numbers multiplied together.
144349968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 144349968:
24 × 3 × 7 × 43 × 97 × 103
(2 × 2 × 2 × 2 × 3 × 7 × 43 × 97 × 103)See below for interesting mathematical facts about the number 144349968 from the Numbermatics database.
Names of 144349968
- Cardinal: 144349968 can be written as One hundred forty-four million, three hundred forty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.44349968 × 108
Factors of 144349968
Divisors of 144349968
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 97 103 112 129 168 172 194 206 258 291 301 309 336 344 388 412 516 582 602 618 679 688 721 776 824 903 1032 1164 1204 1236 1358 1442 1552 1648 1806 2037 2064 2163 2328 2408 2472 2716 2884 3612 4074 4171 4326 4429 4656 4816 4944 5432 5768 7224 8148 8342 8652 8858 9991 10864 11536 12513 13287 14448 16296 16684 17304 17716 19982 25026 26574 29197 29973 31003 32592 33368 34608 35432 39964 50052 53148 58394 59946 62006 66736 69937 70864 79928 87591 93009 100104 106296 116788 119892 124012 139874 159856 175182 186018 200208 209811 212592 233576 239784 248024 279748 350364 372036 419622 429613 467152 479568 496048 559496 700728 744072 839244 859226 1118992 1288839 1401456 1488144 1678488 1718452 2577678 3007291 3356976 3436904 5155356 6014582 6873808 9021873 10310712 12029164 18043746 20621424 24058328 36087492 48116656 72174984 144349968
- Sum of all divisors σ(n): 444860416
- Sum of proper divisors (its aliquot sum) s(n): 300510448
- 144349968 is an abundant number, because the sum of its proper divisors (300510448) is greater than itself. Its abundance is 156160480
Bases of 144349968
- Binary: 10001001101010011011000100002
- Hexadecimal: 0x89A9B10
- Base-36: 2DXX5C
Squares and roots of 144349968
- 144349968 squared (1443499682) is 20836913261601024
- 144349968 cubed (1443499683) is 3007807762530883443167232
-
The
square root of 144349968 is 12014.5731509697 -
The
cube root of 144349968 is 524.5725536619
Scales and comparisons
How big is 144349968?- 144,349,968 seconds is equal to 4 years, 30 weeks, 4 days, 17 hours, 12 minutes, 48 seconds.
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To count from 1 to 144,349,968 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 144349968 cubic inches would be around 43.7 feet tall.
Recreational maths with 144349968
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