138444800
138,444,800 is an even composite number composed of three prime numbers multiplied together.
138444800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138444800:
215 × 52 × 132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13)See below for interesting mathematical facts about the number 138444800 from the Numbermatics database.
Names of 138444800
- Cardinal: 138444800 can be written as One hundred thirty-eight million, four hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384448 × 108
Factors of 138444800
Divisors of 138444800
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 169 200 208 256 260 320 325 338 400 416 512 520 640 650 676 800 832 845 1024 1040 1280 1300 1352 1600 1664 1690 2048 2080 2560 2600 2704 3200 3328 3380 4096 4160 4225 5120 5200 5408 6400 6656 6760 8192 8320 8450 10240 10400 10816 12800 13312 13520 16384 16640 16900 20480 20800 21632 25600 26624 27040 32768 33280 33800 40960 41600 43264 51200 53248 54080 66560 67600 81920 83200 86528 102400 106496 108160 133120 135200 163840 166400 173056 204800 212992 216320 266240 270400 332800 346112 409600 425984 432640 532480 540800 665600 692224 819200 865280 1064960 1081600 1331200 1384448 1730560 2129920 2163200 2662400 2768896 3461120 4326400 5324800 5537792 6922240 8652800 10649600 13844480 17305600 27688960 34611200 69222400 138444800
- Sum of all divisors σ(n): 371780055
- Sum of proper divisors (its aliquot sum) s(n): 233335255
- 138444800 is an abundant number, because the sum of its proper divisors (233335255) is greater than itself. Its abundance is 94890455
Bases of 138444800
- Binary: 10000100000010000000000000002
- Hexadecimal: 0x8408000
- Base-36: 2AFCOW
Squares and roots of 138444800
- 138444800 squared (1384448002) is 19166962647040000
- 138444800 cubed (1384448003) is 2653566310276923392000000
-
The
square root of 138444800 is 11766.2568389443 -
The
cube root of 138444800 is 517.3195400251
Scales and comparisons
How big is 138444800?- 138,444,800 seconds is equal to 4 years, 20 weeks, 6 days, 8 hours, 53 minutes, 20 seconds.
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To count from 1 to 138,444,800 would take you about six 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 138444800 cubic inches would be around 43.1 feet tall.
Recreational maths with 138444800
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The information we have on file for 138444800 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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