45648120
45,648,120 is an even composite number composed of six prime numbers multiplied together.
45648120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 45648120:
23 × 3 × 5 × 7 × 31 × 1753
(2 × 2 × 2 × 3 × 5 × 7 × 31 × 1753)See below for interesting mathematical facts about the number 45648120 from the Numbermatics database.
Names of 45648120
- Cardinal: 45648120 can be written as Forty-five million, six hundred forty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.564812 × 107
Factors of 45648120
Divisors of 45648120
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1753 1860 2170 2604 3255 3506 3720 4340 5208 5259 6510 7012 8680 8765 10518 12271 13020 14024 17530 21036 24542 26040 26295 35060 36813 42072 49084 52590 54343 61355 70120 73626 98168 105180 108686 122710 147252 163029 184065 210360 217372 245420 271715 294504 326058 368130 380401 434744 490840 543430 652116 736260 760802 815145 1086860 1141203 1304232 1472520 1521604 1630290 1902005 2173720 2282406 3043208 3260580 3804010 4564812 5706015 6521160 7608020 9129624 11412030 15216040 22824060 45648120
- Sum of all divisors σ(n): 161648640
- Sum of proper divisors (its aliquot sum) s(n): 116000520
- 45648120 is an abundant number, because the sum of its proper divisors (116000520) is greater than itself. Its abundance is 70352400
Bases of 45648120
- Binary: 101011100010001000111110002
- Hexadecimal: 0x2B888F8
- Base-36: R6EBC
Squares and roots of 45648120
- 45648120 squared (456481202) is 2083750859534400
- 45648120 cubed (456481203) is 95119309286129435328000
-
The
square root of 45648120 is 6756.3392454791 -
The
cube root of 45648120 is 357.3888222597
Scales and comparisons
How big is 45648120?- 45,648,120 seconds is equal to 1 year, 23 weeks, 3 days, 8 hours, 2 minutes.
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To count from 1 to 45,648,120 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 45648120 cubic inches would be around 29.8 feet tall.
Recreational maths with 45648120
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