13742400
13,742,400 is an even composite number composed of five prime numbers multiplied together.
13742400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 13742400:
26 × 3 × 52 × 7 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 409)See below for interesting mathematical facts about the number 13742400 from the Numbermatics database.
Names of 13742400
- Cardinal: 13742400 can be written as Thirteen million, seven hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.37424 × 107
Factors of 13742400
Divisors of 13742400
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 140 150 160 168 175 192 200 210 224 240 280 300 320 336 350 400 409 420 448 480 525 560 600 672 700 800 818 840 960 1050 1120 1200 1227 1344 1400 1600 1636 1680 2045 2100 2240 2400 2454 2800 2863 3272 3360 4090 4200 4800 4908 5600 5726 6135 6544 6720 8180 8400 8589 9816 10225 11200 11452 12270 13088 14315 16360 16800 17178 19632 20450 22904 24540 26176 28630 30675 32720 33600 34356 39264 40900 42945 45808 49080 57260 61350 65440 68712 71575 78528 81800 85890 91616 98160 114520 122700 130880 137424 143150 163600 171780 183232 196320 214725 229040 245400 274848 286300 327200 343560 392640 429450 458080 490800 549696 572600 654400 687120 858900 916160 981600 1145200 1374240 1717800 1963200 2290400 2748480 3435600 4580800 6871200 13742400
- Sum of all divisors σ(n): 51653440
- Sum of proper divisors (its aliquot sum) s(n): 37911040
- 13742400 is an abundant number, because the sum of its proper divisors (37911040) is greater than itself. Its abundance is 24168640
Bases of 13742400
- Binary: 1101000110110001010000002
- Hexadecimal: 0xD1B140
- Base-36: 86JPC
Squares and roots of 13742400
- 13742400 squared (137424002) is 188853557760000
- 13742400 cubed (137424003) is 2595301132161024000000
-
The
square root of 13742400 is 3707.0743181115 -
The
cube root of 13742400 is 239.5268455777
Scales and comparisons
How big is 13742400?- 13,742,400 seconds is equal to 22 weeks, 5 days, 1 hour, 20 minutes.
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To count from 1 to 13,742,400 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 13742400 cubic inches would be around 20 feet tall.
Recreational maths with 13742400
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The information we have on file for 13742400 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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