74142400
74,142,400 is an even composite number composed of four prime numbers multiplied together.
74142400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 74142400:
26 × 52 × 149 × 311
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 149 × 311)See below for interesting mathematical facts about the number 74142400 from the Numbermatics database.
Names of 74142400
- Cardinal: 74142400 can be written as Seventy-four million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 7.41424 × 107
Factors of 74142400
Divisors of 74142400
- Number of divisors d(n): 84
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 149 160 200 298 311 320 400 596 622 745 800 1192 1244 1490 1555 1600 2384 2488 2980 3110 3725 4768 4976 5960 6220 7450 7775 9536 9952 11920 12440 14900 15550 19904 23840 24880 29800 31100 46339 47680 49760 59600 62200 92678 99520 119200 124400 185356 231695 238400 248800 370712 463390 497600 741424 926780 1158475 1482848 1853560 2316950 2965696 3707120 4633900 7414240 9267800 14828480 18535600 37071200 74142400
- Sum of all divisors σ(n): 184251600
- Sum of proper divisors (its aliquot sum) s(n): 110109200
- 74142400 is an abundant number, because the sum of its proper divisors (110109200) is greater than itself. Its abundance is 35966800
Bases of 74142400
- Binary: 1000110101101010010110000002
- Hexadecimal: 0x46B52C0
- Base-36: 1854N4
Squares and roots of 74142400
- 74142400 squared (741424002) is 5497095477760000
- 74142400 cubed (741424003) is 407567851750273024000000
-
The
square root of 74142400 is 8610.5981209205 -
The
cube root of 74142400 is 420.1027715245
Scales and comparisons
How big is 74142400?- 74,142,400 seconds is equal to 2 years, 18 weeks, 4 days, 3 hours, 6 minutes, 40 seconds.
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To count from 1 to 74,142,400 would take you about three 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 74142400 cubic inches would be around 35 feet tall.
Recreational maths with 74142400
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The information we have on file for 74142400 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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