42147840
42,147,840 is an even composite number composed of four prime numbers multiplied together.
42147840 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 42147840:
213 × 3 × 5 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7)See below for interesting mathematical facts about the number 42147840 from the Numbermatics database.
Names of 42147840
- Cardinal: 42147840 can be written as Forty-two million, one hundred forty-seven thousand, eight hundred forty.
Scientific notation
- Scientific notation: 4.214784 × 107
Factors of 42147840
Divisors of 42147840
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 128 140 147 160 168 192 196 210 224 240 245 256 280 294 320 336 343 384 392 420 448 480 490 512 560 588 640 672 686 735 768 784 840 896 960 980 1024 1029 1120 1176 1280 1344 1372 1470 1536 1568 1680 1715 1792 1920 1960 2048 2058 2240 2352 2560 2688 2744 2940 3072 3136 3360 3430 3584 3840 3920 4096 4116 4480 4704 5120 5145 5376 5488 5880 6144 6272 6720 6860 7168 7680 7840 8192 8232 8960 9408 10240 10290 10752 10976 11760 12288 12544 13440 13720 14336 15360 15680 16464 17920 18816 20480 20580 21504 21952 23520 24576 25088 26880 27440 28672 30720 31360 32928 35840 37632 40960 41160 43008 43904 47040 50176 53760 54880 57344 61440 62720 65856 71680 75264 82320 86016 87808 94080 100352 107520 109760 122880 125440 131712 143360 150528 164640 172032 175616 188160 200704 215040 219520 250880 263424 286720 301056 329280 351232 376320 401408 430080 439040 501760 526848 602112 658560 702464 752640 860160 878080 1003520 1053696 1204224 1317120 1404928 1505280 1756160 2007040 2107392 2634240 2809856 3010560 3512320 4214784 5268480 6021120 7024640 8429568 10536960 14049280 21073920 42147840
- Sum of all divisors σ(n): 157276800
- Sum of proper divisors (its aliquot sum) s(n): 115128960
- 42147840 is an abundant number, because the sum of its proper divisors (115128960) is greater than itself. Its abundance is 72981120
Bases of 42147840
- Binary: 101000001100100000000000002
- Hexadecimal: 0x2832000
- Base-36: P3DHC
Squares and roots of 42147840
- 42147840 squared (421478402) is 1776440416665600
- 42147840 cubed (421478403) is 74873126451155042304000
-
The
square root of 42147840 is 6492.1367822929 -
The
cube root of 42147840 is 348.0100406669
Scales and comparisons
How big is 42147840?- 42,147,840 seconds is equal to 1 year, 17 weeks, 4 days, 19 hours, 44 minutes.
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To count from 1 to 42,147,840 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 42147840 cubic inches would be around 29 feet tall.
Recreational maths with 42147840
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