42128940
42,128,940 is an even composite number composed of six prime numbers multiplied together.
42128940 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 42128940:
22 × 3 × 5 × 7 × 37 × 2711
(2 × 2 × 3 × 5 × 7 × 37 × 2711)See below for interesting mathematical facts about the number 42128940 from the Numbermatics database.
Names of 42128940
- Cardinal: 42128940 can be written as Forty-two million, one hundred twenty-eight thousand, nine hundred forty.
Scientific notation
- Scientific notation: 4.212894 × 107
Factors of 42128940
Divisors of 42128940
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 2711 3108 3885 5180 5422 7770 8133 10844 13555 15540 16266 18977 27110 32532 37954 40665 54220 56931 75908 81330 94885 100307 113862 162660 189770 200614 227724 284655 300921 379540 401228 501535 569310 601842 702149 1003070 1138620 1203684 1404298 1504605 2006140 2106447 2808596 3009210 3510745 4212894 6018420 7021490 8425788 10532235 14042980 21064470 42128940
- Sum of all divisors σ(n): 138507264
- Sum of proper divisors (its aliquot sum) s(n): 96378324
- 42128940 is an abundant number, because the sum of its proper divisors (96378324) is greater than itself. Its abundance is 54249384
Bases of 42128940
- Binary: 101000001011010110001011002
- Hexadecimal: 0x282D62C
- Base-36: P2YWC
Squares and roots of 42128940
- 42128940 squared (421289402) is 1774847585523600
- 42128940 cubed (421289403) is 74772447439668612984000
-
The
square root of 42128940 is 6490.6810120357 -
The
cube root of 42128940 is 347.9580144881
Scales and comparisons
How big is 42128940?- 42,128,940 seconds is equal to 1 year, 17 weeks, 4 days, 14 hours, 29 minutes.
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To count from 1 to 42,128,940 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 42128940 cubic inches would be around 29 feet tall.
Recreational maths with 42128940
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