13842400
13,842,400 is an even composite number composed of four prime numbers multiplied together.
13842400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 13842400:
25 × 52 × 113 × 13
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 13)See below for interesting mathematical facts about the number 13842400 from the Numbermatics database.
Names of 13842400
- Cardinal: 13842400 can be written as Thirteen million, eight hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.38424 × 107
Factors of 13842400
Divisors of 13842400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 65 80 88 100 104 110 121 130 143 160 176 200 208 220 242 260 275 286 325 352 400 416 440 484 520 550 572 605 650 715 800 880 968 1040 1100 1144 1210 1300 1331 1430 1573 1760 1936 2080 2200 2288 2420 2600 2662 2860 3025 3146 3575 3872 4400 4576 4840 5200 5324 5720 6050 6292 6655 7150 7865 8800 9680 10400 10648 11440 12100 12584 13310 14300 15730 17303 19360 21296 22880 24200 25168 26620 28600 31460 33275 34606 39325 42592 48400 50336 53240 57200 62920 66550 69212 78650 86515 96800 106480 114400 125840 133100 138424 157300 173030 212960 251680 266200 276848 314600 346060 432575 532400 553696 629200 692120 865150 1064800 1258400 1384240 1730300 2768480 3460600 6921200 13842400
- Sum of all divisors σ(n): 40028688
- Sum of proper divisors (its aliquot sum) s(n): 26186288
- 13842400 is an abundant number, because the sum of its proper divisors (26186288) is greater than itself. Its abundance is 12343888
Bases of 13842400
- Binary: 1101001100110111111000002
- Hexadecimal: 0xD337E0
- Base-36: 88OV4
Squares and roots of 13842400
- 13842400 squared (138424002) is 191612037760000
- 13842400 cubed (138424003) is 2652370471489024000000
-
The
square root of 13842400 is 3720.5375955633 -
The
cube root of 13842400 is 240.1064342735
Scales and comparisons
How big is 13842400?- 13,842,400 seconds is equal to 22 weeks, 6 days, 5 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,842,400 would take you about thirty-four 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 13842400 cubic inches would be around 20 feet tall.
Recreational maths with 13842400
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The information we have on file for 13842400 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!
Keywords: Divisors of 13842400, math, Factors of 13842400, curriculum, school, college, exams, university, Prime factorization of 13842400, STEM, science, technology, engineering, physics, economics, calculator, thirteen million, eight hundred forty-two thousand, four hundred.