422135040
422,135,040 is an even composite number composed of five prime numbers multiplied together.
422135040 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 422135040:
28 × 3 × 5 × 211 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 211 × 521)See below for interesting mathematical facts about the number 422135040 from the Numbermatics database.
Names of 422135040
- Cardinal: 422135040 can be written as Four hundred twenty-two million, one hundred thirty-five thousand and forty.
Scientific notation
- Scientific notation: 4.2213504 × 108
Factors of 422135040
Divisors of 422135040
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 211 240 256 320 384 422 480 521 633 640 768 844 960 1042 1055 1266 1280 1563 1688 1920 2084 2110 2532 2605 3126 3165 3376 3840 4168 4220 5064 5210 6252 6330 6752 7815 8336 8440 10128 10420 12504 12660 13504 15630 16672 16880 20256 20840 25008 25320 27008 31260 33344 33760 40512 41680 50016 50640 54016 62520 66688 67520 81024 83360 100032 101280 109931 125040 133376 135040 162048 166720 200064 202560 219862 250080 270080 329793 333440 400128 405120 439724 500160 549655 659586 666880 810240 879448 1000320 1099310 1319172 1648965 1758896 2000640 2198620 2638344 3297930 3517792 4397240 5276688 6595860 7035584 8794480 10553376 13191720 14071168 17588960 21106752 26383440 28142336 35177920 42213504 52766880 70355840 84427008 105533760 140711680 211067520 422135040
- Sum of all divisors σ(n): 1357183296
- Sum of proper divisors (its aliquot sum) s(n): 935048256
- 422135040 is an abundant number, because the sum of its proper divisors (935048256) is greater than itself. Its abundance is 512913216
Bases of 422135040
- Binary: 110010010100101000101000000002
- Hexadecimal: 0x19294500
- Base-36: 6ZBTHC
Squares and roots of 422135040
- 422135040 squared (4221350402) is 178197991995801600
- 422135040 cubed (4221350403) is 75223616479067388248064000
-
The
square root of 422135040 is 20545.9251434439 -
The
cube root of 422135040 is 750.1540661271
Scales and comparisons
How big is 422135040?- 422,135,040 seconds is equal to 13 years, 21 weeks, 6 days, 19 hours, 44 minutes.
-
To count from 1 to 422,135,040 would take you about twenty 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 422135040 cubic inches would be around 62.5 feet tall.
Recreational maths with 422135040
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