42117120
42,117,120 is an even composite number composed of four prime numbers multiplied together.
42117120 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 42117120:
211 × 32 × 5 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 457)See below for interesting mathematical facts about the number 42117120 from the Numbermatics database.
Names of 42117120
- Cardinal: 42117120 can be written as Forty-two million, one hundred seventeen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.211712 × 107
Factors of 42117120
Divisors of 42117120
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 457 480 512 576 640 720 768 914 960 1024 1152 1280 1371 1440 1536 1828 1920 2048 2285 2304 2560 2742 2880 3072 3656 3840 4113 4570 4608 5120 5484 5760 6144 6855 7312 7680 8226 9140 9216 10240 10968 11520 13710 14624 15360 16452 18280 18432 20565 21936 23040 27420 29248 30720 32904 36560 41130 43872 46080 54840 58496 65808 73120 82260 87744 92160 109680 116992 131616 146240 164520 175488 219360 233984 263232 292480 329040 350976 438720 467968 526464 584960 658080 701952 877440 935936 1052928 1169920 1316160 1403904 1754880 2105856 2339840 2632320 2807808 3509760 4211712 4679680 5264640 7019520 8423424 10529280 14039040 21058560 42117120
- Sum of all divisors σ(n): 146289780
- Sum of proper divisors (its aliquot sum) s(n): 104172660
- 42117120 is an abundant number, because the sum of its proper divisors (104172660) is greater than itself. Its abundance is 62055540
Bases of 42117120
- Binary: 101000001010101000000000002
- Hexadecimal: 0x282A800
- Base-36: P2PS0
Squares and roots of 42117120
- 42117120 squared (421171202) is 1773851797094400
- 42117120 cubed (421171203) is 74709529000440496128000
-
The
square root of 42117120 is 6489.7704119637 -
The
cube root of 42117120 is 347.9254695723
Scales and comparisons
How big is 42117120?- 42,117,120 seconds is equal to 1 year, 17 weeks, 4 days, 11 hours, 12 minutes.
-
To count from 1 to 42,117,120 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 42117120 cubic inches would be around 29 feet tall.
Recreational maths with 42117120
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