12144000
12,144,000 is an even composite number composed of five prime numbers multiplied together.
12144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 12144000:
27 × 3 × 53 × 11 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 23)See below for interesting mathematical facts about the number 12144000 from the Numbermatics database.
Names of 12144000
- Cardinal: 12144000 can be written as Twelve million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.2144 × 107
Factors of 12144000
Divisors of 12144000
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 25 30 32 33 40 44 46 48 50 55 60 64 66 69 75 80 88 92 96 100 110 115 120 125 128 132 138 150 160 165 176 184 192 200 220 230 240 250 253 264 275 276 300 320 330 345 352 368 375 384 400 440 460 480 500 506 528 550 552 575 600 640 660 690 704 736 750 759 800 825 880 920 960 1000 1012 1056 1100 1104 1150 1200 1265 1320 1375 1380 1408 1472 1500 1518 1600 1650 1725 1760 1840 1920 2000 2024 2112 2200 2208 2300 2400 2530 2640 2750 2760 2875 2944 3000 3036 3200 3300 3450 3520 3680 3795 4000 4048 4125 4224 4400 4416 4600 4800 5060 5280 5500 5520 5750 6000 6072 6325 6600 6900 7040 7360 7590 8000 8096 8250 8625 8800 8832 9200 9600 10120 10560 11000 11040 11500 12000 12144 12650 13200 13800 14720 15180 16000 16192 16500 17250 17600 18400 18975 20240 21120 22000 22080 23000 24000 24288 25300 26400 27600 30360 31625 32384 33000 34500 35200 36800 37950 40480 44000 44160 46000 48000 48576 50600 52800 55200 60720 63250 66000 69000 73600 75900 80960 88000 92000 94875 97152 101200 105600 110400 121440 126500 132000 138000 151800 161920 176000 184000 189750 202400 220800 242880 253000 264000 276000 303600 368000 379500 404800 485760 506000 528000 552000 607200 759000 809600 1012000 1104000 1214400 1518000 2024000 2428800 3036000 4048000 6072000 12144000
- Sum of all divisors σ(n): 45826560
- Sum of proper divisors (its aliquot sum) s(n): 33682560
- 12144000 is an abundant number, because the sum of its proper divisors (33682560) is greater than itself. Its abundance is 21538560
Bases of 12144000
- Binary: 1011100101001101100000002
- Hexadecimal: 0xB94D80
- Base-36: 78ADC
Squares and roots of 12144000
- 12144000 squared (121440002) is 147476736000000
- 12144000 cubed (121440003) is 1790957481984000000000
-
The
square root of 12144000 is 3484.8242423399 -
The
cube root of 12144000 is 229.8549810461
Scales and comparisons
How big is 12144000?- 12,144,000 seconds is equal to 20 weeks, 13 hours, 20 minutes.
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To count from 1 to 12,144,000 would take you about thirty 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 12144000 cubic inches would be around 19.2 feet tall.
Recreational maths with 12144000
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The information we have on file for 12144000 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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