42628320
42,628,320 is an even composite number composed of five prime numbers multiplied together.
42628320 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 42628320:
25 × 32 × 5 × 7 × 4229
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 4229)See below for interesting mathematical facts about the number 42628320 from the Numbermatics database.
Names of 42628320
- Cardinal: 42628320 can be written as Forty-two million, six hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.262832 × 107
Factors of 42628320
Divisors of 42628320
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 4229 5040 8458 10080 12687 16916 21145 25374 29603 33832 38061 42290 50748 59206 63435 67664 76122 84580 88809 101496 118412 126870 135328 148015 152244 169160 177618 190305 202992 236824 253740 266427 296030 304488 338320 355236 380610 405984 444045 473648 507480 532854 592060 608976 676640 710472 761220 888090 947296 1014960 1065708 1184120 1217952 1332135 1420944 1522440 1776180 2029920 2131416 2368240 2664270 2841888 3044880 3552360 4262832 4736480 5328540 6089760 7104720 8525664 10657080 14209440 21314160 42628320
- Sum of all divisors σ(n): 166289760
- Sum of proper divisors (its aliquot sum) s(n): 123661440
- 42628320 is an abundant number, because the sum of its proper divisors (123661440) is greater than itself. Its abundance is 81033120
Bases of 42628320
- Binary: 101000101001110100111000002
- Hexadecimal: 0x28A74E0
- Base-36: PDO80
Squares and roots of 42628320
- 42628320 squared (426283202) is 1817173666022400
- 42628320 cubed (426283203) is 77463060530775994368000
-
The
square root of 42628320 is 6529.0366823905 -
The
cube root of 42628320 is 349.3274704583
Scales and comparisons
How big is 42628320?- 42,628,320 seconds is equal to 1 year, 18 weeks, 3 days, 9 hours, 12 minutes.
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To count from 1 to 42,628,320 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 42628320 cubic inches would be around 29.1 feet tall.
Recreational maths with 42628320
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The information we have on file for 42628320 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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