40985120
40,985,120 is an even composite number composed of five prime numbers multiplied together.
40985120 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 40985120:
25 × 5 × 112 × 29 × 73
(2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 29 × 73)See below for interesting mathematical facts about the number 40985120 from the Numbermatics database.
Names of 40985120
- Cardinal: 40985120 can be written as Forty million, nine hundred eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.098512 × 107
Factors of 40985120
Divisors of 40985120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 73 80 88 110 116 121 145 146 160 176 220 232 242 290 292 319 352 365 440 464 484 580 584 605 638 730 803 880 928 968 1160 1168 1210 1276 1460 1595 1606 1760 1936 2117 2320 2336 2420 2552 2920 3190 3212 3509 3872 4015 4234 4640 4840 5104 5840 6380 6424 7018 8030 8468 8833 9680 10208 10585 11680 12760 12848 14036 16060 16936 17545 17666 19360 21170 23287 25520 25696 28072 32120 33872 35090 35332 42340 44165 46574 51040 56144 64240 67744 70180 70664 84680 88330 93148 112288 116435 128480 140360 141328 169360 176660 186296 232870 256157 280720 282656 338720 353320 372592 465740 512314 561440 706640 745184 931480 1024628 1280785 1413280 1862960 2049256 2561570 3725920 4098512 5123140 8197024 10246280 20492560 40985120
- Sum of all divisors σ(n): 111608280
- Sum of proper divisors (its aliquot sum) s(n): 70623160
- 40985120 is an abundant number, because the sum of its proper divisors (70623160) is greater than itself. Its abundance is 29638040
Bases of 40985120
- Binary: 100111000101100010001000002
- Hexadecimal: 0x2716220
- Base-36: OEGBK
Squares and roots of 40985120
- 40985120 squared (409851202) is 1679780061414400
- 40985120 cubed (409851203) is 68845987390676553728000
-
The
square root of 40985120 is 6401.9621992011 -
The
cube root of 40985120 is 344.7800039727
Scales and comparisons
How big is 40985120?- 40,985,120 seconds is equal to 1 year, 15 weeks, 5 days, 8 hours, 45 minutes, 20 seconds.
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To count from 1 to 40,985,120 would take you about forty-nine weeks!
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 40985120 cubic inches would be around 28.7 feet tall.
Recreational maths with 40985120
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