13824000000
13,824,000,000 is an even composite number composed of three prime numbers multiplied together.
13824000000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 13824000000:
215 × 33 × 56
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5)See below for interesting mathematical facts about the number 13824000000 from the Numbermatics database.
Names of 13824000000
- Cardinal: 13824000000 can be written as Thirteen billion, eight hundred twenty-four million.
Scientific notation
- Scientific notation: 1.3824 × 1010
Factors of 13824000000
Divisors of 13824000000
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 256 270 288 300 320 360 375 384 400 432 450 480 500 512 540 576 600 625 640 675 720 750 768 800 864 900 960 1000 1024 1080 1125 1152 1200 1250 1280 1350 1440 1500 1536 1600 1728 1800 1875 1920 2000 2048 2160 2250 2304 2400 2500 2560 2700 2880 3000 3072 3125 3200 3375 3456 3600 3750 3840 4000 4096 4320 4500 4608 4800 5000 5120 5400 5625 5760 6000 6144 6250 6400 6750 6912 7200 7500 7680 8000 8192 8640 9000 9216 9375 9600 10000 10240 10800 11250 11520 12000 12288 12500 12800 13500 13824 14400 15000 15360 15625 16000 16384 16875 17280 18000 18432 18750 19200 20000 20480 21600 22500 23040 24000 24576 25000 25600 27000 27648 28125 28800 30000 30720 31250 32000 32768 33750 34560 36000 36864 37500 38400 40000 40960 43200 45000 46080 46875 48000 49152 50000 51200 54000 55296 56250 57600 60000 61440 62500 64000 67500 69120 72000 73728 75000 76800 80000 81920 84375 86400 90000 92160 93750 96000 98304 100000 102400 108000 110592 112500 115200 120000 122880 125000 128000 135000 138240 140625 144000 147456 150000 153600 160000 163840 168750 172800 180000 184320 187500 192000 200000 204800 216000 221184 225000 230400 240000 245760 250000 256000 270000 276480 281250 288000 294912 300000 307200 320000 337500 345600 360000 368640 375000 384000 400000 409600 421875 432000 442368 450000 460800 480000 491520 500000 512000 540000 552960 562500 576000 600000 614400 640000 675000 691200 720000 737280 750000 768000 800000 819200 843750 864000 884736 900000 921600 960000 1000000 1024000 1080000 1105920 1125000 1152000 1200000 1228800 1280000 1350000 1382400 1440000 1474560 1500000 1536000 1600000 1687500 1728000 1800000 1843200 1920000 2000000 2048000 2160000 2211840 2250000 2304000 2400000 2457600 2560000 2700000 2764800 2880000 3000000 3072000 3200000 3375000 3456000 3600000 3686400 3840000 4000000 4096000 4320000 4423680 4500000 4608000 4800000 5120000 5400000 5529600 5760000 6000000 6144000 6400000 6750000 6912000 7200000 7372800 7680000 8000000 8640000 9000000 9216000 9600000 10240000 10800000 11059200 11520000 12000000 12288000 12800000 13500000 13824000 14400000 15360000 16000000 17280000 18000000 18432000 19200000 20480000 21600000 22118400 23040000 24000000 25600000 27000000 27648000 28800000 30720000 32000000 34560000 36000000 36864000 38400000 43200000 46080000 48000000 51200000 54000000 55296000 57600000 61440000 64000000 69120000 72000000 76800000 86400000 92160000 96000000 102400000 108000000 110592000 115200000 128000000 138240000 144000000 153600000 172800000 184320000 192000000 216000000 230400000 256000000 276480000 288000000 307200000 345600000 384000000 432000000 460800000 512000000 552960000 576000000 691200000 768000000 864000000 921600000 1152000000 1382400000 1536000000 1728000000 2304000000 2764800000 3456000000 4608000000 6912000000 13824000000
- Sum of all divisors σ(n): 51198563400
- Sum of proper divisors (its aliquot sum) s(n): 37374563400
- 13824000000 is an abundant number, because the sum of its proper divisors (37374563400) is greater than itself. Its abundance is 23550563400
Bases of 13824000000
- Binary: 11001101111111100110000000000000002
- Hexadecimal: 0x337F98000
- Base-36: 6CMGAO0
Squares and roots of 13824000000
- 13824000000 squared (138240000002) is 191102976000000000000
- 13824000000 cubed (138240000003) is 2641807540224000000000000000000
-
The
square root of 13824000000 is 117575.5076535925 -
13824000000 is a
perfect cube number . Itscube root is 2400 - Being both a perfect square and a perfect cube, 13824000000 is also a
perfect sixth number .
Scales and comparisons
How big is 13824000000?- 13,824,000,000 seconds is equal to 439 years, 29 weeks, 1 day.
-
To count from 1 to 13,824,000,000 would take you about eight hundred seventy-nine 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 13824000000 cubic inches would be around 200 feet tall.
Recreational maths with 13824000000
- 13824000000 backwards is 00000042831
- 13824000000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13824000000's digits is 18
- More coming soon!
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The information we have on file for 13824000000 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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