48328938824485536000000
48,328,938,824,485,536,000,000 is an even composite number composed of seven prime numbers multiplied together.
48328938824485536000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, three hundred seventy-six divisors.
Prime factorization of 48328938824485536000000:
211 × 33 × 56 × 7 × 53 × 149 × 1011890081
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 53 × 149 × 1011890081)See below for interesting mathematical facts about the number 48328938824485536000000 from the Numbermatics database.
Names of 48328938824485536000000
- Cardinal: 48328938824485536000000 can be written as Forty-eight sextillion, three hundred twenty-eight quintillion, nine hundred thirty-eight quadrillion, eight hundred twenty-four trillion, four hundred eighty-five billion, five hundred thirty-six million.
Scientific notation
- Scientific notation: 4.8328938824485536 × 1022
Factors of 48328938824485536000000
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 24
- Sum of prime factors: 1011890300
Divisors of 48328938824485536000000
- Number of divisors d(n): 5376
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 53 54 56 60 63 64 70 72 75 80 84 90 96 100 105 106 108 112 120 125 126 128 135 140 144 149 150 159 160 168 175 180 189 192 200 210 212 216 224 225 240 250 252 256 265 270 280 288 298 300 315 318 320 336 350 360 371 375 378 384 400 420 424 432 447 448 450 477 480 500 504 512 525 530 540 560 576 596 600 625 630 636 640 672 675 700 720 742 745 750 756 768 795 800 840 848 864 875 894 896 900 945 954 960 1000 1008 1024 1043 1050 1060 1080 1113 1120 1125 1152 1192 1200 1250 1260 1272 1280 1325 1341 1344 1350 1400 1431 1440 1484 1490 1500 1512 1536 1575 1590 1600 1680 1696 1728 1750 1788 1792 1800 1855 1875 1890 1908 1920 2000 2016 2048 2086 2100 2120 2160 2226 2235 2240 2250 2304 2384 2385 2400 2500 2520 2544 2560 2625 2650 2682 2688 2700 2800 2862 2880 2968 2980 3000 3024 3072 3125 3129 3150 3180 3200 3339 3360 3375 3392 3456 3500 3576 3584 3600 3710 3725 3750 3780 3816 3840 3975 4000 4023 4032 4172 4200 4240 4320 4375 4452 4470 4480 4500 4608 4725 4768 4770 4800 5000 5040 5088 5120 5215 5250 5300 5364 5376 5400 5565 5600 5625 5724 5760 5936 5960 6000 6048 6144 6250 6258 6300 6360 6400 6625 6678 6705 6720 6750 6784 6912 7000 7152 7155 7168 7200 7420 7450 7500 7560 7632 7680 7875 7897 7950 8000 8046 8064 8344 8400 8480 8640 8750 8904 8940 8960 9000 9216 9275 9375 9387 9450 9536 9540 9600 10000 10017 10080 10176 10240 10430 10500 10600 10728 10752 10800 11130 11175 11200 11250 11448 11520 11872 11920 11925 12000 12096 12500 12516 12600 12720 12800 13125 13250 13356 13410 13440 13500 13568 13824 14000 14304 14310 14336 14400 14840 14900 15000 15120 15264 15360 15625 15645 15750 15794 15900 16000 16092 16128 16688 16695 16800 16875 16960 17280 17500 17808 17880 17920 18000 18432 18550 18625 18750 18774 18900 19072 19080 19200 19875 20000 20034 20115 20160 20352 20860 21000 21200 21456 21504 21600 21875 22260 22350 22400 22500 22896 23040 23625 23691 23744 23840 23850 24000 24192 25000 25032 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1610964627482851200000 1726033529445912000000 1789960697203168000000 1933157552979421440000 2013705784353564000000 2301378039261216000000 2416446941224276800000 2684941045804752000000 3020558676530346000000 3221929254965702400000 3452067058891824000000 4027411568707128000000 4832893882448553600000 5369882091609504000000 6041117353060692000000 6904134117783648000000 8054823137414256000000 9665787764897107200000 12082234706121384000000 16109646274828512000000 24164469412242768000000 48328938824485536000000
- Sum of all divisors σ(n): 209771615357072758080000
- Sum of proper divisors (its aliquot sum) s(n): 161442676532587222080000
- 48328938824485536000000 is an abundant number, because the sum of its proper divisors (161442676532587222080000) is greater than itself. Its abundance is 113113737708101686080000
Bases of 48328938824485536000000
- Binary: 10100011101111101010110000100000101100101101011101001110111111101000000000002
- Hexadecimal: 0xA3BEAC20B2D74EFE800
- Base-36: 7VBGMBJIBI4T1C0
Squares and roots of 48328938824485536000000
- 48328938824485536000000 squared (483289388244855360000002) is 2335686327900865382257935073207296000000000000
- 48328938824485536000000 cubed (483289388244855360000003) is 112881241654308187192706793715839358618164681670656000000000000000000
-
The
square root of 48328938824485536000000 is 219838438005.0166204329 -
The
cube root of 48328938824485536000000 is 36425239.8167307905
Scales and comparisons
How big is 48328938824485536000000?- 48,328,938,824,485,536,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,328,938,824,485,536,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 48328938824485536000000 cubic inches would be around 3035436.7 feet tall.
Recreational maths with 48328938824485536000000
- 48328938824485536000000 backwards is 00000063558442883982384
- 48328938824485536000000 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 48328938824485536000000's digits is 90
- More coming soon!
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"Number 48328938824485536000000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 48328938824485536000000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/48328938824485536000000/
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The information we have on file for 48328938824485536000000 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!
Keywords: Divisors of 48328938824485536000000, math, Factors of 48328938824485536000000, curriculum, school, college, exams, university, Prime factorization of 48328938824485536000000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight sextillion, three hundred twenty-eight quintillion, nine hundred thirty-eight quadrillion, eight hundred twenty-four trillion, four hundred eighty-five billion, five hundred thirty-six million.