828968806321920000
828,968,806,321,920,000 is an even composite number composed of six prime numbers multiplied together.
828968806321920000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 828968806321920000:
211 × 32 × 54 × 11 × 292 × 27892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 29 × 29 × 2789 × 2789)See below for interesting mathematical facts about the number 828968806321920000 from the Numbermatics database.
Names of 828968806321920000
- Cardinal: 828968806321920000 can be written as Eight hundred twenty-eight quadrillion, nine hundred sixty-eight trillion, eight hundred six billion, three hundred twenty-one million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 8.2896880632192 × 1017
Factors of 828968806321920000
Divisors of 828968806321920000
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 29 30 32 33 36 40 44 45 48 50 55 58 60 64 66 72 75 80 87 88 90 96 99 100 110 116 120 125 128 132 144 145 150 160 165 174 176 180 192 198 200 220 225 232 240 250 256 261 264 275 288 290 300 319 320 330 348 352 360 375 384 396 400 435 440 450 464 480 495 500 512 522 528 550 576 580 600 625 638 640 660 696 704 720 725 750 768 792 800 825 841 870 880 900 928 957 960 990 1000 1024 1044 1056 1100 1125 1152 1160 1200 1250 1276 1280 1305 1320 1375 1392 1408 1440 1450 1500 1536 1584 1595 1600 1650 1682 1740 1760 1800 1856 1875 1914 1920 1980 2000 2048 2088 2112 2175 2200 2250 2304 2320 2400 2475 2500 2523 2552 2560 2610 2640 2750 2784 2789 2816 2871 2880 2900 3000 3072 3168 3190 3200 3300 3364 3480 3520 3600 3625 3712 3750 3828 3840 3960 4000 4125 4176 4205 4224 4350 4400 4500 4608 4640 4785 4800 4950 5000 5046 5104 5120 5220 5280 5500 5568 5578 5625 5632 5742 5760 5800 6000 6144 6336 6380 6400 6525 6600 6728 6875 6960 7040 7200 7250 7424 7500 7569 7656 7680 7920 7975 8000 8250 8352 8367 8410 8448 8700 8800 9000 9216 9251 9280 9570 9600 9900 10000 10092 10208 10240 10440 10560 10875 11000 11136 11156 11250 11264 11484 11520 11600 12000 12375 12615 12672 12760 12800 13050 13200 13456 13750 13920 13945 14080 14355 14400 14500 14848 15000 15138 15312 15360 15840 15950 16000 16500 16704 16734 16820 16896 17400 17600 18000 18125 18432 18502 18560 19140 19200 19800 20000 20184 20416 20625 20880 21025 21120 21750 22000 22272 22312 22500 22528 22968 23040 23200 23925 24000 24750 25101 25230 25344 25520 25600 26100 26400 26912 27500 27753 27840 27890 28160 28710 28800 29000 29696 30000 30276 30624 30679 30720 31680 31900 32000 32625 33000 33408 33468 33640 33792 34800 35200 36000 36250 37004 37120 37845 38280 38400 39600 39875 40000 40368 40832 41250 41760 41835 42050 42240 43500 44000 44544 44624 45000 45936 46080 46255 46400 47850 48000 49500 50202 50460 50688 51040 51200 52200 52800 53824 54375 55000 55506 55680 55780 56320 57420 57600 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828968806321920000
- Sum of all divisors σ(n): 3381430508383948020
- Sum of proper divisors (its aliquot sum) s(n): 2552461702062028020
- 828968806321920000 is an abundant number, because the sum of its proper divisors (2552461702062028020) is greater than itself. Its abundance is 1723492895740108020
Bases of 828968806321920000
- Binary: 1011100000010001011010111100101111101011001010011000000000002
- Hexadecimal: 0xB8116BCBEB29800
- Base-36: 6AQCX0AVRB40
Squares and roots of 828968806321920000
- 828968806321920000 squared (8289688063219200002) is 687189281854788912158672486400000000
- 828968806321920000 cubed (8289688063219200003) is 569658478696381803508907260198179085221888000000000000
-
The
square root of 828968806321920000 is 910477240.9686691339 -
The
cube root of 828968806321920000 is 939390.2814979739
Scales and comparisons
How big is 828968806321920000?- 828,968,806,321,920,000 seconds is equal to 26,358,643,872 years, 8 weeks, 2 days, 16 hours.
-
To count from 1 to 828,968,806,321,920,000 would take you about seventy-nine billion, seventy-five million, nine hundred thirty-one thousand, six hundred sixteen 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 828968806321920000 cubic inches would be around 78282.5 feet tall.
Recreational maths with 828968806321920000
- 828968806321920000 backwards is 000029123608869828
- 828968806321920000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 828968806321920000's digits is 72
- More coming soon!
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"Number 828968806321920000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 828968806321920000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/828968806321920000/
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The information we have on file for 828968806321920000 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 828968806321920000, math, Factors of 828968806321920000, curriculum, school, college, exams, university, Prime factorization of 828968806321920000, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-eight quadrillion, nine hundred sixty-eight trillion, eight hundred six billion, three hundred twenty-one million, nine hundred twenty thousand.