820135749888000
820,135,749,888,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 820135749888000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
820135749888000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 820135749888000:
211 × 33 × 53 × 7 × 13 × 43 × 30323
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 43 × 30323)See below for interesting mathematical facts about the number 820135749888000 from the Numbermatics database.
Names of 820135749888000
- Cardinal: 820135749888000 can be written as Eight hundred twenty trillion, one hundred thirty-five billion, seven hundred forty-nine million, eight hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 8.20135749888 × 1014
Factors of 820135749888000
Divisors of 820135749888000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 43 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 84 86 90 91 96 100 104 105 108 112 117 120 125 126 128 129 130 135 140 144 150 156 160 168 172 175 180 182 189 192 195 200 208 210 215 216 224 225 234 240 250 252 256 258 260 270 273 280 288 300 301 312 315 320 325 336 344 350 351 360 364 375 378 384 387 390 400 416 420 430 432 448 450 455 468 480 500 504 512 516 520 525 540 546 559 560 576 585 600 602 624 630 640 645 650 672 675 688 700 702 720 728 750 756 768 774 780 800 819 832 840 860 864 875 896 900 903 910 936 945 960 975 1000 1008 1024 1032 1040 1050 1075 1080 1092 1118 1120 1125 1152 1161 1170 1200 1204 1248 1260 1280 1290 1300 1344 1350 1365 1376 1400 1404 1440 1456 1500 1505 1512 1536 1548 1560 1575 1600 1625 1638 1664 1677 1680 1720 1728 1750 1755 1792 1800 1806 1820 1872 1890 1920 1935 1950 2000 2016 2048 2064 2080 2100 2150 2160 2184 2236 2240 2250 2275 2304 2322 2340 2400 2408 2457 2496 2520 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2187028666368 2253120192000 2278154860800 2336569088000 2343244999680 2384115552000 2440880208000 2523494615040 2562924218400 2603605555200 2628640224000 2724703488000 2733785832960 2847693576000 2929056249600 3004160256000 3037539814400 3154368268800 3178820736000 3203655273000 3254506944000 3280542999552 3417232291200 3504853632000 3645047777280 3661320312000 3796924768000 3814584883200 3905408332800 3942960336000 4100678749440 4205824358400 4271540364000 4339342592000 4506240384000 4556309721600 4686489999360 4768231104000 4881760416000 5125848436800 5257280448000 5467571665920 5695387152000 5858112499200 6075079628800 6308736537600 6357641472000 6407310546000 6509013888000 6561085999104 6834464582400 7009707264000 7322640624000 7593849536000 7810816665600 7885920672000 8201357498880 8543080728000 9012480768000 9112619443200 9536462208000 9763520832000 10251696873600 10514560896000 10935143331840 11390774304000 11716224998400 12617473075200 12814621092000 13018027776000 13668929164800 14645281248000 15187699072000 15771841344000 16402714997760 17086161456000 18225238886400 19072924416000 19527041664000 20503393747200 21029121792000 22781548608000 23432449996800 25629242184000 27337858329600 29290562496000 30375398144000 31543682688000 32805429995520 34172322912000 39054083328000 41006787494400 45563097216000 51258484368000 54675716659200 58581124992000 63087365376000 68344645824000 82013574988800 91126194432000 102516968736000 117162249984000 136689291648000 164027149977600 205033937472000 273378583296000 410067874944000 820135749888000
- Sum of all divisors σ(n): 3818525392281600
- Sum of proper divisors (its aliquot sum) s(n): 2998389642393600
- 820135749888000 is an abundant number, because the sum of its proper divisors (2998389642393600) is greater than itself. Its abundance is 2178253892505600
Bases of 820135749888000
- Binary: 101110100111101000101111000000101000101000000000002
- Hexadecimal: 0x2E9E8BC0A2800
- Base-36: 82PP5U7EO0
Squares and roots of 820135749888000
- 820135749888000 squared (8201357498880002) is 672622648244352092012544000000
- 820135749888000 cubed (8201357498880003) is 551641880009534149643409348542595072000000000
-
The
square root of 820135749888000 is 28638012.3243216725 -
The
cube root of 820135749888000 is 93604.1810098173
Scales and comparisons
How big is 820135749888000?- 820,135,749,888,000 seconds is equal to 26,077,780 years.
-
To count from 1 to 820,135,749,888,000 would take you about sixty-five million, one hundred ninety-four thousand, four hundred fifty 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 820135749888000 cubic inches would be around 7800.3 feet tall.
Recreational maths with 820135749888000
- 820135749888000 backwards is 000888947531028
- 820135749888000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 820135749888000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 820135749888000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 820135749888000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/820135749888000/
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Numbermatics. 2024. "Number 820135749888000 - Facts about the integer". https://numbermatics.com/n/820135749888000/
The information we have on file for 820135749888000 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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