14138400
14,138,400 is an even composite number composed of five prime numbers multiplied together.
14138400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 14138400:
25 × 3 × 52 × 43 × 137
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 43 × 137)See below for interesting mathematical facts about the number 14138400 from the Numbermatics database.
Names of 14138400
- Cardinal: 14138400 can be written as Fourteen million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.41384 × 107
Factors of 14138400
Divisors of 14138400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 43 48 50 60 75 80 86 96 100 120 129 137 150 160 172 200 215 240 258 274 300 344 400 411 430 480 516 548 600 645 685 688 800 822 860 1032 1075 1096 1200 1290 1370 1376 1644 1720 2055 2064 2150 2192 2400 2580 2740 3225 3288 3425 3440 4110 4128 4300 4384 5160 5480 5891 6450 6576 6850 6880 8220 8600 10275 10320 10960 11782 12900 13152 13700 16440 17200 17673 20550 20640 21920 23564 25800 27400 29455 32880 34400 35346 41100 47128 51600 54800 58910 65760 70692 82200 88365 94256 103200 109600 117820 141384 147275 164400 176730 188512 235640 282768 294550 328800 353460 441825 471280 565536 589100 706920 883650 942560 1178200 1413840 1767300 2356400 2827680 3534600 4712800 7069200 14138400
- Sum of all divisors σ(n): 47434464
- Sum of proper divisors (its aliquot sum) s(n): 33296064
- 14138400 is an abundant number, because the sum of its proper divisors (33296064) is greater than itself. Its abundance is 19157664
Bases of 14138400
- Binary: 1101011110111100001000002
- Hexadecimal: 0xD7BC20
- Base-36: 8F19C
Squares and roots of 14138400
- 14138400 squared (141384002) is 199894354560000
- 14138400 cubed (141384003) is 2826186342511104000000
-
The
square root of 14138400 is 3760.1063814739 -
The
cube root of 14138400 is 241.8058228813
Scales and comparisons
How big is 14138400?- 14,138,400 seconds is equal to 23 weeks, 2 days, 15 hours, 20 minutes.
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To count from 1 to 14,138,400 would take you about thirty-five 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 14138400 cubic inches would be around 20.2 feet tall.
Recreational maths with 14138400
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