138096000
138,096,000 is an even composite number composed of five prime numbers multiplied together.
138096000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138096000:
27 × 32 × 53 × 7 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 137)See below for interesting mathematical facts about the number 138096000 from the Numbermatics database.
Names of 138096000
- Cardinal: 138096000 can be written as One hundred thirty-eight million, ninety-six thousand.
Scientific notation
- Scientific notation: 1.38096 × 108
Factors of 138096000
Divisors of 138096000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 128 137 140 144 150 160 168 175 180 192 200 210 224 225 240 250 252 274 280 288 300 315 320 336 350 360 375 384 400 411 420 448 450 480 500 504 525 548 560 576 600 630 640 672 685 700 720 750 800 822 840 875 896 900 959 960 1000 1008 1050 1096 1120 1125 1152 1200 1233 1260 1344 1370 1400 1440 1500 1575 1600 1644 1680 1750 1800 1918 1920 2000 2016 2055 2100 2192 2240 2250 2400 2466 2520 2625 2688 2740 2800 2877 2880 3000 3150 3200 3288 3360 3425 3500 3600 3836 4000 4032 4110 4200 4384 4480 4500 4795 4800 4932 5040 5250 5480 5600 5754 5760 6000 6165 6300 6576 6720 6850 7000 7200 7672 7875 8000 8064 8220 8400 8631 8768 9000 9590 9600 9864 10080 10275 10500 10960 11200 11508 12000 12330 12600 13152 13440 13700 14000 14385 14400 15344 15750 16000 16440 16800 17125 17262 17536 18000 19180 19728 20160 20550 21000 21920 22400 23016 23975 24000 24660 25200 26304 27400 28000 28770 28800 30688 30825 31500 32880 33600 34250 34524 36000 38360 39456 40320 41100 42000 43155 43840 46032 47950 48000 49320 50400 51375 52608 54800 56000 57540 61376 61650 63000 65760 67200 68500 69048 71925 72000 76720 78912 82200 84000 86310 87680 92064 95900 98640 100800 102750 109600 112000 115080 119875 122752 123300 126000 131520 137000 138096 143850 144000 153440 154125 157824 164400 168000 172620 184128 191800 197280 201600 205500 215775 219200 230160 239750 246600 252000 263040 274000 276192 287700 306880 308250 328800 336000 345240 359625 368256 383600 394560 411000 431550 438400 460320 479500 493200 504000 548000 552384 575400 613760 616500 657600 690480 719250 767200 789120 822000 863100 920640 959000 986400 1008000 1078875 1096000 1104768 1150800 1233000 1315200 1380960 1438500 1534400 1644000 1726200 1841280 1918000 1972800 2157750 2192000 2301600 2466000 2761920 2877000 3068800 3288000 3452400 3836000 3945600 4315500 4603200 4932000 5523840 5754000 6576000 6904800 7672000 8631000 9206400 9864000 11508000 13809600 15344000 17262000 19728000 23016000 27619200 34524000 46032000 69048000 138096000
- Sum of all divisors σ(n): 570922560
- Sum of proper divisors (its aliquot sum) s(n): 432826560
- 138096000 is an abundant number, because the sum of its proper divisors (432826560) is greater than itself. Its abundance is 294730560
Bases of 138096000
- Binary: 10000011101100101101100000002
- Hexadecimal: 0x83B2D80
- Base-36: 2A7VK0
Squares and roots of 138096000
- 138096000 squared (1380960002) is 19070505216000000
- 138096000 cubed (1380960003) is 2633560488308736000000000
-
The
square root of 138096000 is 11751.4254454513 -
The
cube root of 138096000 is 516.8847270087
Scales and comparisons
How big is 138096000?- 138,096,000 seconds is equal to 4 years, 20 weeks, 2 days, 8 hours.
-
To count from 1 to 138,096,000 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 138096000 cubic inches would be around 43.1 feet tall.
Recreational maths with 138096000
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