42000960
42,000,960 is an even composite number composed of five prime numbers multiplied together.
42000960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 42000960:
26 × 3 × 5 × 67 × 653
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 67 × 653)See below for interesting mathematical facts about the number 42000960 from the Numbermatics database.
Names of 42000960
- Cardinal: 42000960 can be written as Forty-two million, nine hundred sixty.
Scientific notation
- Scientific notation: 4.200096 × 107
Factors of 42000960
Divisors of 42000960
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 653 670 804 960 1005 1072 1306 1340 1608 1959 2010 2144 2612 2680 3216 3265 3918 4020 4288 5224 5360 6432 6530 7836 8040 9795 10448 10720 12864 13060 15672 16080 19590 20896 21440 26120 31344 32160 39180 41792 43751 52240 62688 64320 78360 87502 104480 125376 131253 156720 175004 208960 218755 262506 313440 350008 437510 525012 626880 656265 700016 875020 1050024 1312530 1400032 1750040 2100048 2625060 2800064 3500080 4200096 5250120 7000160 8400192 10500240 14000320 21000480 42000960
- Sum of all divisors σ(n): 135550656
- Sum of proper divisors (its aliquot sum) s(n): 93549696
- 42000960 is an abundant number, because the sum of its proper divisors (93549696) is greater than itself. Its abundance is 51548736
Bases of 42000960
- Binary: 101000000011100010010000002
- Hexadecimal: 0x280E240
- Base-36: P085C
Squares and roots of 42000960
- 42000960 squared (420009602) is 1764080640921600
- 42000960 cubed (420009603) is 74093080436122484736000
-
The
square root of 42000960 is 6480.8147635927 -
The
cube root of 42000960 is 347.6053128697
Scales and comparisons
How big is 42000960?- 42,000,960 seconds is equal to 1 year, 17 weeks, 3 days, 2 hours, 56 minutes.
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To count from 1 to 42,000,960 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 42000960 cubic inches would be around 29 feet tall.
Recreational maths with 42000960
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