48144096
48,144,096 is an even composite number composed of six prime numbers multiplied together.
48144096 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 48144096:
25 × 32 × 7 × 11 × 13 × 167
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 167)See below for interesting mathematical facts about the number 48144096 from the Numbermatics database.
Names of 48144096
- Cardinal: 48144096 can be written as Forty-eight million, one hundred forty-four thousand and ninety-six.
Scientific notation
- Scientific notation: 4.8144096 × 107
Factors of 48144096
Divisors of 48144096
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 63 66 72 77 78 84 88 91 96 99 104 112 117 126 132 143 144 154 156 167 168 176 182 198 208 224 231 234 252 264 273 286 288 308 312 334 336 352 364 396 416 429 462 468 501 504 528 546 572 616 624 668 672 693 728 792 819 858 924 936 1001 1002 1008 1056 1092 1144 1169 1232 1248 1287 1336 1386 1456 1503 1584 1638 1716 1837 1848 1872 2002 2004 2016 2171 2184 2288 2338 2464 2574 2672 2772 2912 3003 3006 3168 3276 3432 3507 3674 3696 3744 4004 4008 4342 4368 4576 4676 5148 5344 5511 5544 6006 6012 6513 6552 6864 7014 7348 7392 8008 8016 8684 8736 9009 9352 10296 10521 11022 11088 12012 12024 12859 13026 13104 13728 14028 14696 15197 16016 16032 16533 17368 18018 18704 19539 20592 21042 22044 22176 23881 24024 24048 25718 26052 26208 28056 29392 30394 32032 33066 34736 36036 37408 38577 39078 41184 42084 44088 45591 47762 48048 48096 51436 52104 56112 58784 60788 66132 69472 71643 72072 77154 78156 84168 88176 91182 95524 96096 102872 104208 112224 115731 121576 132264 136773 143286 144144 154308 156312 167167 168336 176352 182364 191048 205744 208416 214929 231462 243152 264528 273546 286572 288288 308616 312624 334334 336672 364728 382096 411488 429858 462924 486304 501501 529056 547092 573144 617232 625248 668668 729456 764192 859716 925848 1003002 1094184 1146288 1234464 1337336 1458912 1504503 1719432 1851696 2006004 2188368 2292576 2674672 3009006 3438864 3703392 4012008 4376736 5349344 6018012 6877728 8024016 12036024 16048032 24072048 48144096
- Sum of all divisors σ(n): 184923648
- Sum of proper divisors (its aliquot sum) s(n): 136779552
- 48144096 is an abundant number, because the sum of its proper divisors (136779552) is greater than itself. Its abundance is 88635456
Bases of 48144096
- Binary: 101101111010011110111000002
- Hexadecimal: 0x2DE9EE0
- Base-36: SNW80
Squares and roots of 48144096
- 48144096 squared (481440962) is 2317853979657216
- 48144096 cubed (481440963) is 111590984510599054196736
-
The
square root of 48144096 is 6938.5946703925 -
The
cube root of 48144096 is 363.7874216647
Scales and comparisons
How big is 48144096?- 48,144,096 seconds is equal to 1 year, 27 weeks, 4 days, 5 hours, 21 minutes, 36 seconds.
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To count from 1 to 48,144,096 would take you about two 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 48144096 cubic inches would be around 30.3 feet tall.
Recreational maths with 48144096
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