42828997942080000
42,828,997,942,080,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42828997942080000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3200 divisors.
42828997942080000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred divisors.
Prime factorization of 42828997942080000:
29 × 33 × 54 × 7 × 257 × 1093 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 257 × 1093 × 2521)See below for interesting mathematical facts about the number 42828997942080000 from the Numbermatics database.
Names of 42828997942080000
- Cardinal: 42828997942080000 can be written as Forty-two quadrillion, eight hundred twenty-eight trillion, nine hundred ninety-seven billion, nine hundred forty-two million, eighty thousand.
Scientific notation
- Scientific notation: 4.282899794208 × 1016
Factors of 42828997942080000
Divisors of 42828997942080000
- Number of divisors d(n): 3200
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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 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 250 252 256 257 270 280 288 300 315 320 336 350 360 375 378 384 400 420 432 448 450 480 500 504 512 514 525 540 560 576 600 625 630 640 672 675 700 720 750 756 768 771 800 840 864 875 896 900 945 960 1000 1008 1028 1050 1080 1093 1120 1125 1152 1200 1250 1260 1280 1285 1344 1350 1400 1440 1500 1512 1536 1542 1575 1600 1680 1728 1750 1792 1799 1800 1875 1890 1920 2000 2016 2056 2100 2160 2186 2240 2250 2304 2313 2400 2500 2520 2521 2560 2570 2625 2688 2700 2800 2880 3000 3024 3084 3150 3200 3279 3360 3375 3456 3500 3584 3598 3600 3750 3780 3840 3855 4000 4032 4112 4200 4320 4372 4375 4480 4500 4608 4626 4725 4800 5000 5040 5042 5140 5250 5376 5397 5400 5465 5600 5625 5760 6000 6048 6168 6300 6400 6425 6558 6720 6750 6912 6939 7000 7196 7200 7500 7560 7563 7651 7680 7710 7875 8000 8064 8224 8400 8640 8744 8750 8960 8995 9000 9252 9450 9600 9837 10000 10080 10084 10280 10500 10752 10794 10800 10930 11200 11250 11520 11565 12000 12096 12336 12600 12605 12800 12850 13116 13125 13440 13500 13824 13878 14000 14392 14400 15000 15120 15126 15302 15420 15750 16000 16128 16191 16395 16448 16800 16875 17280 17488 17500 17647 17920 17990 18000 18504 18900 19200 19275 19674 20000 20160 20168 20560 21000 21588 21600 21860 22400 22500 22689 22953 23040 23130 23625 24000 24192 24672 25200 25210 25700 26232 26250 26880 26985 27000 27325 27756 28000 28784 28800 29511 30000 30240 30252 30604 30840 31500 32000 32125 32256 32382 32790 32896 33600 33750 34560 34695 34976 35000 35294 35980 36000 37008 37800 37815 38255 38400 38550 39348 39375 40000 40320 40336 41120 42000 43176 43200 43720 44800 44975 45000 45378 45906 46260 47250 48000 48384 48573 49185 49344 50400 50420 51400 52464 52500 52941 53760 53970 54000 54650 55512 56000 57568 57600 57825 59022 60000 60480 60504 61208 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951755509824000 1019738046240000 1070724948552000 1189694387280000 1223685655488000 1338406185690000 1427633264736000 1529607069360000 1586259183040000 1713159917683200 1784541580920000 2039476092480000 2141449897104000 2379388774560000 2676812371380000 2855266529472000 3059214138720000 3569083161840000 4282899794208000 4758777549120000 5353624742760000 6118428277440000 7138166323680000 8565799588416000 10707249485520000 14276332647360000 21414498971040000 42828997942080000
- Sum of all divisors σ(n): 181994706429719040
- Sum of proper divisors (its aliquot sum) s(n): 139165708487639040
- 42828997942080000 is an abundant number, because the sum of its proper divisors (139165708487639040) is greater than itself. Its abundance is 96336710545559040
Bases of 42828997942080000
- Binary: 100110000010100010111111001010000110110001110010000000002
- Hexadecimal: 0x9828BF286C7200
- Base-36: BPPM216R9C0
Squares and roots of 42828997942080000
- 42828997942080000 squared (428289979420800002) is 1834323064722692875034726400000000
- 42828997942080000 cubed (428289979420800003) is 78562218764118091790738175594135846912000000000000
-
The
square root of 42828997942080000 is 206951680.2108163605 -
The
cube root of 42828997942080000 is 349874.7795370637
Scales and comparisons
How big is 42828997942080000?- 42,828,997,942,080,000 seconds is equal to 1,361,829,655 years, 40 weeks.
-
To count from 1 to 42,828,997,942,080,000 would take you about four billion, eighty-five million, four hundred eighty-eight thousand, nine hundred sixty-seven 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 42828997942080000 cubic inches would be around 29156.2 feet tall.
Recreational maths with 42828997942080000
- 42828997942080000 backwards is 00008024979982824
- 42828997942080000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42828997942080000's digits is 72
- More coming soon!
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"Number 42828997942080000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 42828997942080000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/42828997942080000/
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Numbermatics. 2024. "Number 42828997942080000 - Facts about the integer". https://numbermatics.com/n/42828997942080000/
The information we have on file for 42828997942080000 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 42828997942080000, math, Factors of 42828997942080000, curriculum, school, college, exams, university, Prime factorization of 42828997942080000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, eight hundred twenty-eight trillion, nine hundred ninety-seven billion, nine hundred forty-two million, eighty thousand.