45448416
45,448,416 is an even composite number composed of five prime numbers multiplied together.
45448416 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 45448416:
25 × 32 × 13 × 61 × 199
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 61 × 199)See below for interesting mathematical facts about the number 45448416 from the Numbermatics database.
Names of 45448416
- Cardinal: 45448416 can be written as Forty-five million, four hundred forty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.5448416 × 107
Factors of 45448416
Divisors of 45448416
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 61 72 78 96 104 117 122 144 156 183 199 208 234 244 288 312 366 398 416 468 488 549 597 624 732 793 796 936 976 1098 1194 1248 1464 1586 1592 1791 1872 1952 2196 2379 2388 2587 2928 3172 3184 3582 3744 4392 4758 4776 5174 5856 6344 6368 7137 7164 7761 8784 9516 9552 10348 12139 12688 14274 14328 15522 17568 19032 19104 20696 23283 24278 25376 28548 28656 31044 36417 38064 41392 46566 48556 57096 57312 62088 72834 76128 82784 93132 97112 109251 114192 124176 145668 157807 186264 194224 218502 228384 248352 291336 315614 372528 388448 437004 473421 582672 631228 745056 874008 946842 1165344 1262456 1420263 1748016 1893684 2524912 2840526 3496032 3787368 5049824 5681052 7574736 11362104 15149472 22724208 45448416
- Sum of all divisors σ(n): 142178400
- Sum of proper divisors (its aliquot sum) s(n): 96729984
- 45448416 is an abundant number, because the sum of its proper divisors (96729984) is greater than itself. Its abundance is 51281568
Bases of 45448416
- Binary: 101011010101111100111000002
- Hexadecimal: 0x2B57CE0
- Base-36: R2480
Squares and roots of 45448416
- 45448416 squared (454484162) is 2065558516909056
- 45448416 cubed (454484163) is 93876362748825811255296
-
The
square root of 45448416 is 6741.5440367915 -
The
cube root of 45448416 is 356.8668853811
Scales and comparisons
How big is 45448416?- 45,448,416 seconds is equal to 1 year, 23 weeks, 1 day, 33 minutes, 36 seconds.
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To count from 1 to 45,448,416 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 45448416 cubic inches would be around 29.7 feet tall.
Recreational maths with 45448416
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