82728629068800000
82,728,629,068,800,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 82728629068800000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 8064 divisors.
82728629068800000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight thousand and sixty-four divisors.
Prime factorization of 82728629068800000:
213 × 3 × 55 × 11 × 133 × 292 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 29 × 29 × 53)See below for interesting mathematical facts about the number 82728629068800000 from the Numbermatics database.
Names of 82728629068800000
- Cardinal: 82728629068800000 can be written as Eighty-two quadrillion, seven hundred twenty-eight trillion, six hundred twenty-nine billion, sixty-eight million, eight hundred thousand.
Scientific notation
- Scientific notation: 8.27286290688 × 1016
Factors of 82728629068800000
Divisors of 82728629068800000
- Number of divisors d(n): 8064
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 29 30 32 33 39 40 44 48 50 52 53 55 58 60 64 65 66 75 78 80 87 88 96 100 104 106 110 116 120 125 128 130 132 143 145 150 156 159 160 165 169 174 176 192 195 200 208 212 220 232 240 250 256 260 264 265 275 286 290 300 312 318 319 320 325 330 338 348 352 375 377 384 390 400 416 424 429 435 440 464 480 500 507 512 520 528 530 550 572 580 583 600 624 625 636 638 640 650 660 676 689 696 704 715 725 750 754 768 780 795 800 825 832 841 845 848 858 870 880 928 957 960 975 1000 1014 1024 1040 1056 1060 1100 1131 1144 1160 1166 1200 1248 1250 1272 1276 1280 1300 1320 1325 1352 1375 1378 1392 1408 1430 1450 1500 1508 1536 1537 1560 1590 1595 1600 1625 1650 1664 1682 1690 1696 1716 1740 1749 1760 1856 1859 1875 1885 1914 1920 1950 2000 2028 2048 2067 2080 2112 2120 2145 2175 2197 2200 2262 2288 2320 2332 2400 2496 2500 2523 2535 2544 2552 2560 2600 2640 2650 2704 2750 2756 2784 2816 2860 2900 2915 3000 3016 3072 3074 3120 3125 3180 3190 3200 3250 3300 3328 3364 3380 3392 3432 3445 3480 3498 3520 3575 3625 3712 3718 3750 3770 3828 3840 3900 3975 4000 4056 4096 4125 4134 4147 4160 4205 4224 4225 4240 4290 4350 4394 4400 4524 4576 4611 4640 4664 4785 4800 4875 4901 4992 5000 5046 5070 5088 5104 5120 5200 5280 5300 5408 5500 5512 5568 5577 5632 5655 5720 5800 5830 6000 6032 6144 6148 6240 6250 6360 6380 6400 6500 6591 6600 6625 6656 6728 6760 6784 6864 6875 6890 6960 6996 7040 7150 7250 7424 7436 7500 7540 7579 7656 7680 7685 7800 7950 7975 8000 8112 8125 8192 8250 8268 8294 8320 8410 8448 8450 8480 8580 8700 8745 8788 8800 8957 9048 9152 9222 9251 9280 9295 9328 9375 9425 9570 9600 9750 9802 9984 10000 10092 10140 10176 10208 10240 10335 10400 10560 10600 10725 10816 10875 10933 10985 11000 11024 11136 11154 11264 11310 11440 11600 11660 12000 12064 12288 12296 12441 12480 12500 12615 12675 12720 12760 12800 13000 13182 13200 13250 13312 13456 13520 13568 13728 13750 13780 13920 13992 14080 14300 14500 14575 14703 14848 14872 15000 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- Sum of all divisors σ(n): 343839510180391680
- Sum of proper divisors (its aliquot sum) s(n): 261110881111591680
- 82728629068800000 is an abundant number, because the sum of its proper divisors (261110881111591680) is greater than itself. Its abundance is 178382252042791680
Bases of 82728629068800000
- Binary: 1001001011110100100111111111101000110011010100000000000002
- Hexadecimal: 0x125E93FF466A000
- Base-36: MMKUNJ1NPXC
Squares and roots of 82728629068800000
- 82728629068800000 squared (827286290688000002) is 6844026067603100355133440000000000
- 82728629068800000 cubed (827286290688000003) is 566196893883934801980695907686940672000000000000000
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The
square root of 82728629068800000 is 287625849.0970517761 -
The
cube root of 82728629068800000 is 435731.1508328359
Scales and comparisons
How big is 82728629068800000?- 82,728,629,068,800,000 seconds is equal to 2,630,514,507 years, 48 weeks, 4 days, 21 hours, 20 minutes.
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To count from 1 to 82,728,629,068,800,000 would take you about seven billion, eight hundred ninety-one million, five hundred forty-three thousand, five hundred twenty-three 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 82728629068800000 cubic inches would be around 36310.9 feet tall.
Recreational maths with 82728629068800000
- 82728629068800000 backwards is 00000886092682728
- 82728629068800000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 82728629068800000's digits is 66
- More coming soon!
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The information we have on file for 82728629068800000 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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