82400642688000
82,400,642,688,000 is an even composite number composed of nine prime numbers multiplied together.
What does the number 82400642688000 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 5632 divisors.
82400642688000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of five thousand, six hundred thirty-two divisors.
Prime factorization of 82400642688000:
210 × 3 × 53 × 7 × 13 × 29 × 31 × 43 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 29 × 31 × 43 × 61)See below for interesting mathematical facts about the number 82400642688000 from the Numbermatics database.
Names of 82400642688000
- Cardinal: 82400642688000 can be written as Eighty-two trillion, four hundred billion, six hundred forty-two million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 8.2400642688 × 1013
Factors of 82400642688000
Divisors of 82400642688000
- Number of divisors d(n): 5632
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 29 30 31 32 35 39 40 42 43 48 50 52 56 58 60 61 62 64 65 70 75 78 80 84 86 87 91 93 96 100 104 105 112 116 120 122 124 125 128 129 130 140 145 150 155 156 160 168 172 174 175 182 183 186 192 195 200 203 208 210 215 217 224 232 240 244 248 250 256 258 260 273 280 290 300 301 305 310 312 320 325 336 344 348 350 364 366 372 375 377 384 390 400 403 406 416 420 427 430 434 435 448 455 464 465 480 488 496 500 512 516 520 525 546 559 560 580 600 602 609 610 620 624 640 645 650 651 672 688 696 700 725 728 732 744 750 754 768 775 780 793 800 806 812 832 840 854 860 868 870 875 896 899 903 910 915 928 930 960 975 976 992 1000 1015 1024 1032 1040 1050 1075 1085 1092 1118 1120 1131 1160 1200 1204 1209 1218 1220 1240 1247 1248 1280 1281 1290 1300 1302 1333 1344 1365 1376 1392 1400 1450 1456 1464 1488 1500 1505 1508 1525 1536 1550 1560 1586 1600 1612 1624 1625 1664 1677 1680 1708 1720 1736 1740 1750 1769 1792 1798 1806 1820 1830 1856 1860 1885 1891 1920 1950 1952 1984 2000 2015 2030 2064 2080 2100 2135 2150 2170 2175 2184 2236 2240 2262 2275 2320 2325 2379 2400 2408 2418 2436 2440 2480 2494 2496 2560 2562 2580 2600 2604 2623 2625 2639 2666 2688 2697 2730 2752 2784 2795 2800 2821 2900 2912 2928 2976 3000 3010 3016 3045 3050 3072 3100 3120 3172 3200 3224 3225 3248 3250 3255 3328 3354 3360 3416 3440 3472 3480 3500 3538 3584 3596 3612 3625 3640 3660 3712 3720 3741 3770 3782 3840 3875 3900 3904 3913 3965 3968 3999 4000 4030 4060 4128 4160 4200 4270 4300 4340 4350 4368 4472 4480 4495 4515 4524 4550 4575 4640 4650 4758 4800 4816 4836 4872 4875 4880 4960 4988 4992 5075 5120 5124 5160 5200 5208 5246 5250 5278 5307 5332 5375 5376 5394 5425 5460 5504 5551 5568 5590 5600 5642 5655 5673 5800 5824 5856 5952 6000 6020 6032 6045 6090 6100 6200 6235 6240 6293 6344 6400 6405 6448 6450 6496 6500 6510 6656 6665 6708 6720 6825 6832 6880 6944 6960 7000 7076 7168 7192 7224 7250 7280 7320 7424 7440 7482 7525 7540 7564 7625 7680 7750 7800 7808 7826 7869 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886028416000 905501568000 947133824000 958147008000 980960032000 1030008033600 1056418496000 1098675235840 1177152038400 1267702195200 1287510042000 1329042624000 1350830208000 1373344044800 1420700736000 1471440048000 1584627744000 1648012853760 1716680056000 1916294016000 1961920064000 2060016067200 2112836992000 2354304076800 2575020084000 2658085248000 2746688089600 2841401472000 2942880096000 3169255488000 3296025707520 3433360112000 3923840128000 4120032134400 5150040168000 5493376179200 5885760192000 6338510976000 6866720224000 8240064268800 10300080336000 11771520384000 13733440448000 16480128537600 20600160672000 27466880896000 41200321344000 82400642688000
- Sum of all divisors σ(n): 374658900295680
- Sum of proper divisors (its aliquot sum) s(n): 292258257607680
- 82400642688000 is an abundant number, because the sum of its proper divisors (292258257607680) is greater than itself. Its abundance is 209857614919680
Bases of 82400642688000
- Binary: 100101011110001011001010000100101100100000000002
- Hexadecimal: 0x4AF165096400
- Base-36: T7IBZ4UTC
Squares and roots of 82400642688000
- 82400642688000 squared (824006426880002) is 6789865915395447865344000000
- 82400642688000 cubed (824006426880003) is 559489315193930337773943282204672000000000
-
The
square root of 82400642688000 is 9077479.9745303761 -
The
cube root of 82400642688000 is 43515.4554123051
Scales and comparisons
How big is 82400642688000?- 82,400,642,688,000 seconds is equal to 2,620,085 years, 28 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 82,400,642,688,000 would take you about six million, five hundred fifty thousand, two hundred thirteen 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 82400642688000 cubic inches would be around 3626.3 feet tall.
Recreational maths with 82400642688000
- 82400642688000 backwards is 00088624600428
- 82400642688000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 82400642688000's digits is 48
- More coming soon!
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"Number 82400642688000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 82400642688000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/82400642688000/
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The information we have on file for 82400642688000 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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