45137664
45,137,664 is an even composite number composed of five prime numbers multiplied together.
45137664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 45137664:
28 × 32 × 11 × 13 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 137)See below for interesting mathematical facts about the number 45137664 from the Numbermatics database.
Names of 45137664
- Cardinal: 45137664 can be written as Forty-five million, one hundred thirty-seven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.5137664 × 107
Factors of 45137664
Divisors of 45137664
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 64 66 72 78 88 96 99 104 117 128 132 137 143 144 156 176 192 198 208 234 256 264 274 286 288 312 352 384 396 411 416 429 468 528 548 572 576 624 704 768 792 822 832 858 936 1056 1096 1144 1152 1233 1248 1287 1408 1507 1584 1644 1664 1716 1781 1872 2112 2192 2288 2304 2466 2496 2574 2816 3014 3168 3288 3328 3432 3562 3744 4224 4384 4521 4576 4932 4992 5148 5343 6028 6336 6576 6864 7124 7488 8448 8768 9042 9152 9864 9984 10296 10686 12056 12672 13152 13563 13728 14248 14976 16029 17536 18084 18304 19591 19728 20592 21372 24112 25344 26304 27126 27456 28496 29952 32058 35072 36168 36608 39182 39456 41184 42744 48224 52608 54252 54912 56992 58773 64116 72336 78364 78912 82368 85488 96448 105216 108504 109824 113984 117546 128232 144672 156728 157824 164736 170976 176319 192896 217008 227968 235092 256464 289344 313456 315648 329472 341952 352638 385792 434016 455936 470184 512928 578688 626912 683904 705276 868032 940368 1025856 1157376 1253824 1367808 1410552 1736064 1880736 2051712 2507648 2821104 3472128 3761472 4103424 5015296 5642208 7522944 11284416 15045888 22568832 45137664
- Sum of all divisors σ(n): 154011312
- Sum of proper divisors (its aliquot sum) s(n): 108873648
- 45137664 is an abundant number, because the sum of its proper divisors (108873648) is greater than itself. Its abundance is 63735984
Bases of 45137664
- Binary: 101011000010111111000000002
- Hexadecimal: 0x2B0BF00
- Base-36: QVGG0
Squares and roots of 45137664
- 45137664 squared (451376642) is 2037408711376896
- 45137664 cubed (451376643) is 91963869844803309010944
-
The
square root of 45137664 is 6718.4569657027 -
The
cube root of 45137664 is 356.0516694771
Scales and comparisons
How big is 45137664?- 45,137,664 seconds is equal to 1 year, 22 weeks, 4 days, 10 hours, 14 minutes, 24 seconds.
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To count from 1 to 45,137,664 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 45137664 cubic inches would be around 29.7 feet tall.
Recreational maths with 45137664
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