138144000
138,144,000 is an even composite number composed of four prime numbers multiplied together.
138144000 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 138144000:
28 × 3 × 53 × 1439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 1439)See below for interesting mathematical facts about the number 138144000 from the Numbermatics database.
Names of 138144000
- Cardinal: 138144000 can be written as One hundred thirty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38144 × 108
Factors of 138144000
Divisors of 138144000
- 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 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1439 1500 1600 1920 2000 2400 2878 3000 3200 3840 4000 4317 4800 5756 6000 6400 7195 8000 8634 9600 11512 12000 14390 16000 17268 19200 21585 23024 24000 28780 32000 34536 35975 43170 46048 48000 57560 69072 71950 86340 92096 96000 107925 115120 138144 143900 172680 179875 184192 215850 230240 276288 287800 345360 359750 368384 431700 460480 539625 552576 575600 690720 719500 863400 920960 1079250 1105152 1151200 1381440 1439000 1726800 1841920 2158500 2302400 2762880 2878000 3453600 4317000 4604800 5525760 5756000 6907200 8634000 9209600 11512000 13814400 17268000 23024000 27628800 34536000 46048000 69072000 138144000
- Sum of all divisors σ(n): 459164160
- Sum of proper divisors (its aliquot sum) s(n): 321020160
- 138144000 is an abundant number, because the sum of its proper divisors (321020160) is greater than itself. Its abundance is 182876160
Bases of 138144000
- Binary: 10000011101111101001000000002
- Hexadecimal: 0x83BE900
- Base-36: 2A8WLC
Squares and roots of 138144000
- 138144000 squared (1381440002) is 19083764736000000
- 138144000 cubed (1381440003) is 2636307595689984000000000
-
The
square root of 138144000 is 11753.4675734441 -
The
cube root of 138144000 is 516.9446070747
Scales and comparisons
How big is 138144000?- 138,144,000 seconds is equal to 4 years, 20 weeks, 2 days, 21 hours, 20 minutes.
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To count from 1 to 138,144,000 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 138144000 cubic inches would be around 43.1 feet tall.
Recreational maths with 138144000
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The information we have on file for 138144000 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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