42128100
42,128,100 is an even composite number composed of five prime numbers multiplied together.
42128100 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 42128100:
22 × 34 × 52 × 7 × 743
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 743)See below for interesting mathematical facts about the number 42128100 from the Numbermatics database.
Names of 42128100
- Cardinal: 42128100 can be written as Forty-two million, one hundred twenty-eight thousand, one hundred.
Scientific notation
- Scientific notation: 4.21281 × 107
Factors of 42128100
Divisors of 42128100
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 81 84 90 100 105 108 126 135 140 150 162 175 180 189 210 225 252 270 300 315 324 350 378 405 420 450 525 540 567 630 675 700 743 756 810 900 945 1050 1134 1260 1350 1486 1575 1620 1890 2025 2100 2229 2268 2700 2835 2972 3150 3715 3780 4050 4458 4725 5201 5670 6300 6687 7430 8100 8916 9450 10402 11145 11340 13374 14175 14860 15603 18575 18900 20061 20804 22290 26005 26748 28350 31206 33435 37150 40122 44580 46809 52010 55725 56700 60183 62412 66870 74300 78015 80244 93618 100305 104020 111450 120366 130025 133740 140427 156030 167175 187236 200610 222900 234045 240732 260050 280854 300915 312060 334350 390075 401220 421281 468090 501525 520100 561708 601830 668700 702135 780150 842562 936180 1003050 1170225 1203660 1404270 1504575 1560300 1685124 2006100 2106405 2340450 2808540 3009150 3510675 4212810 4680900 6018300 7021350 8425620 10532025 14042700 21064050 42128100
- Sum of all divisors σ(n): 156281664
- Sum of proper divisors (its aliquot sum) s(n): 114153564
- 42128100 is an abundant number, because the sum of its proper divisors (114153564) is greater than itself. Its abundance is 72025464
Bases of 42128100
- Binary: 101000001011010010111001002
- Hexadecimal: 0x282D2E4
- Base-36: P2Y90
Squares and roots of 42128100
- 42128100 squared (421281002) is 1774776809610000
- 42128100 cubed (421281003) is 74767974912931041000000
-
The
square root of 42128100 is 6490.6163035571 -
The
cube root of 42128100 is 347.9557018525
Scales and comparisons
How big is 42128100?- 42,128,100 seconds is equal to 1 year, 17 weeks, 4 days, 14 hours, 15 minutes.
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To count from 1 to 42,128,100 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 42128100 cubic inches would be around 29 feet tall.
Recreational maths with 42128100
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