4144000
4,144,000 is an even composite number composed of four prime numbers multiplied together.
4144000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 4144000:
27 × 53 × 7 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 37)See below for interesting mathematical facts about the number 4144000 from the Numbermatics database.
Names of 4144000
- Cardinal: 4144000 can be written as Four million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.144 × 106
Factors of 4144000
Divisors of 4144000
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 50 56 64 70 74 80 100 112 125 128 140 148 160 175 185 200 224 250 259 280 296 320 350 370 400 448 500 518 560 592 640 700 740 800 875 896 925 1000 1036 1120 1184 1295 1400 1480 1600 1750 1850 2000 2072 2240 2368 2590 2800 2960 3200 3500 3700 4000 4144 4480 4625 4736 5180 5600 5920 6475 7000 7400 8000 8288 9250 10360 11200 11840 12950 14000 14800 16000 16576 18500 20720 22400 23680 25900 28000 29600 32375 33152 37000 41440 51800 56000 59200 64750 74000 82880 103600 112000 118400 129500 148000 165760 207200 259000 296000 414400 518000 592000 828800 1036000 2072000 4144000
- Sum of all divisors σ(n): 12093120
- Sum of proper divisors (its aliquot sum) s(n): 7949120
- 4144000 is an abundant number, because the sum of its proper divisors (7949120) is greater than itself. Its abundance is 3805120
Bases of 4144000
- Binary: 11111100111011100000002
- Hexadecimal: 0x3F3B80
- Base-36: 2GTJ4
Squares and roots of 4144000
- 4144000 squared (41440002) is 17172736000000
- 4144000 cubed (41440003) is 71163817984000000000
-
The
square root of 4144000 is 2035.6817039997 -
The
cube root of 4144000 is 160.6225743653
Scales and comparisons
How big is 4144000?- 4,144,000 seconds is equal to 6 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
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To count from 1 to 4,144,000 would take you about ten weeks!
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 4144000 cubic inches would be around 13.4 feet tall.
Recreational maths with 4144000
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The information we have on file for 4144000 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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