48384768000
48,384,768,000 is an even composite number composed of four prime numbers multiplied together.
48384768000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 48384768000:
211 × 3 × 53 × 2512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 251 × 251)See below for interesting mathematical facts about the number 48384768000 from the Numbermatics database.
Names of 48384768000
- Cardinal: 48384768000 can be written as Forty-eight billion, three hundred eighty-four million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.8384768 × 1010
Factors of 48384768000
Divisors of 48384768000
- Number of divisors d(n): 288
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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 96 100 120 125 128 150 160 192 200 240 250 251 256 300 320 375 384 400 480 500 502 512 600 640 750 753 768 800 960 1000 1004 1024 1200 1255 1280 1500 1506 1536 1600 1920 2000 2008 2048 2400 2510 2560 3000 3012 3072 3200 3765 3840 4000 4016 4800 5020 5120 6000 6024 6144 6275 6400 7530 7680 8000 8032 9600 10040 10240 12000 12048 12550 12800 15060 15360 16000 16064 18825 19200 20080 24000 24096 25100 25600 30120 30720 31375 32000 32128 37650 38400 40160 48000 48192 50200 51200 60240 62750 63001 64000 64256 75300 76800 80320 94125 96000 96384 100400 120480 125500 126002 128000 128512 150600 153600 160640 188250 189003 192000 192768 200800 240960 251000 252004 256000 257024 301200 315005 321280 376500 378006 384000 385536 401600 481920 502000 504008 514048 602400 630010 642560 753000 756012 768000 771072 803200 945015 963840 1004000 1008016 1204800 1260020 1285120 1506000 1512024 1542144 1575025 1606400 1890030 1927680 2008000 2016032 2409600 2520040 2570240 3012000 3024048 3150050 3212800 3780060 3855360 4016000 4032064 4725075 4819200 5040080 6024000 6048096 6300100 6425600 7560120 7710720 7875125 8032000 8064128 9450150 9638400 10080160 12048000 12096192 12600200 12851200 15120240 15750250 16064000 16128256 18900300 19276800 20160320 23625375 24096000 24192384 25200400 30240480 31500500 32128000 32256512 37800600 38553600 40320640 47250750 48192000 48384768 50400800 60480960 63001000 64256000 64513024 75601200 80641280 94501500 96384000 96769536 100801600 120961920 126002000 129026048 151202400 161282560 189003000 192768000 193539072 201603200 241923840 252004000 302404800 322565120 378006000 387078144 403206400 483847680 504008000 604809600 645130240 756012000 806412800 967695360 1008016000 1209619200 1512024000 1612825600 1935390720 2016032000 2419238400 3024048000 3225651200 4032064000 4838476800 6048096000 8064128000 9676953600 12096192000 16128256000 24192384000 48384768000
- Sum of all divisors σ(n): 161629125840
- Sum of proper divisors (its aliquot sum) s(n): 113244357840
- 48384768000 is an abundant number, because the sum of its proper divisors (113244357840) is greater than itself. Its abundance is 64859589840
Bases of 48384768000
- Binary: 1011010000111111010011111000000000002
- Hexadecimal: 0xB43F4F800
- Base-36: M871HXC
Squares and roots of 48384768000
- 48384768000 squared (483847680002) is 2341085774413824000000
- 48384768000 cubed (483847680003) is 113272892063113210232832000000000
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The
square root of 48384768000 is 219965.3790940747 -
The
cube root of 48384768000 is 3643.9260460787
Scales and comparisons
How big is 48384768000?- 48,384,768,000 seconds is equal to 1,538 years, 25 weeks, 1 day, 21 hours, 20 minutes.
-
To count from 1 to 48,384,768,000 would take you about three thousand and seventy-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 48384768000 cubic inches would be around 303.7 feet tall.
Recreational maths with 48384768000
- 48384768000 backwards is 00086748384
- 48384768000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 48384768000's digits is 48
- More coming soon!
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