82131903744000
82,131,903,744,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 82131903744000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
82131903744000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 82131903744000:
211 × 3 × 53 × 112 × 19 × 181 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 19 × 181 × 257)See below for interesting mathematical facts about the number 82131903744000 from the Numbermatics database.
Names of 82131903744000
- Cardinal: 82131903744000 can be written as Eighty-two trillion, one hundred thirty-one billion, nine hundred three million, seven hundred forty-four thousand.
Scientific notation
- Scientific notation: 8.2131903744 × 1013
Factors of 82131903744000
Divisors of 82131903744000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 32 33 38 40 44 48 50 55 57 60 64 66 75 76 80 88 95 96 100 110 114 120 121 125 128 132 150 152 160 165 176 181 190 192 200 209 220 228 240 242 250 256 257 264 275 285 300 304 320 330 352 362 363 375 380 384 400 418 440 456 475 480 484 500 512 514 528 543 550 570 600 605 608 627 640 660 704 724 726 750 760 768 771 800 825 836 880 905 912 950 960 968 1000 1024 1028 1045 1056 1086 1100 1140 1200 1210 1216 1254 1280 1285 1320 1375 1408 1425 1448 1452 1500 1520 1536 1542 1600 1650 1672 1760 1810 1815 1824 1900 1920 1936 1991 2000 2048 2056 2090 2112 2172 2200 2280 2299 2375 2400 2420 2432 2508 2560 2570 2640 2715 2750 2816 2827 2850 2896 2904 3000 3025 3040 3072 3084 3135 3200 3300 3344 3439 3520 3620 3630 3648 3800 3840 3855 3872 3982 4000 4112 4125 4180 4224 4344 4400 4525 4560 4598 4750 4800 4840 4864 4883 5016 5120 5140 5225 5280 5430 5500 5632 5654 5700 5792 5808 5973 6000 6050 6080 6144 6168 6270 6400 6425 6600 6688 6878 6897 7040 7125 7240 7260 7296 7600 7680 7710 7744 7964 8000 8224 8250 8360 8448 8481 8688 8800 9050 9075 9120 9196 9500 9600 9680 9728 9766 9955 10032 10240 10280 10317 10450 10560 10860 11000 11264 11308 11400 11495 11584 11616 11946 12000 12100 12160 12336 12540 12800 12850 13200 13376 13575 13756 13794 14080 14135 14250 14480 14520 14592 14649 15125 15200 15360 15420 15488 15675 15928 16000 16448 16500 16720 16896 16962 17195 17376 17600 18100 18150 18240 18392 19000 19200 19275 19360 19456 19532 19910 20064 20560 20634 20900 21120 21720 21901 22000 22528 22616 22625 22800 22990 23168 23232 23892 24000 24200 24320 24415 24672 25080 25600 25700 26125 26400 26752 27150 27512 27588 28160 28270 28500 28960 29040 29184 29298 29865 30250 30400 30720 30840 30976 31097 31350 31856 32000 32125 32896 33000 33440 33792 33924 34390 34485 34752 35200 36200 36300 36480 36784 37829 38000 38400 38550 38720 38912 39064 39820 40128 41120 41268 41800 42240 42405 43440 43802 44000 45232 45250 45375 45600 45980 46336 46464 46517 47784 48000 48400 48640 48830 49344 49775 50160 51200 51400 51585 52250 52800 53504 53713 54300 55024 55176 56320 56540 57000 57475 57920 58080 58368 58596 59730 60500 60800 61680 61952 62194 62700 63712 64000 64250 65703 65792 66000 66880 67584 67848 67875 68780 68970 69504 70400 70675 72400 72600 72960 73245 73568 75658 76000 76800 77100 77440 78128 78375 79640 80256 82240 82536 83600 84480 84810 85975 86880 87604 88000 90464 90500 90750 91200 91960 92672 92928 93034 93291 95568 96000 96375 96800 97280 97660 98688 99550 100320 102800 103170 104500 105600 107008 107426 108600 109505 110048 110352 112640 113080 113487 114000 114950 115840 116160 116736 117192 119460 121000 121600 122075 123360 123904 124388 125400 127424 128000 128500 131406 131584 132000 133760 135696 135750 137560 137940 139008 139551 140800 141350 144800 145200 145920 146490 147136 149325 151316 152000 153600 154200 154880 155485 156256 156750 159280 160512 161139 164480 165072 167200 168960 169620 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79894848000 80206937250 82131903744 84847008000 85554066400 86454635520 90056912000 90753484800 93331708800 98243904000 99553822720 102664879680 106526464000 106942583000 108068294400 109509204992 113129344000 113441856000 116664636000 124442278400 128331099600 130991872000 135085368000 135755212800 136886506240 144091059200 149330734080 151255808000 155552848000 159789696000 160413874500 164263807488 169694016000 171108132800 172909271040 180113824000 186663417600 196487808000 205329759360 213885166000 216136588800 219018409984 226258688000 226883712000 233329272000 248884556800 256662199200 270170736000 273773012480 288182118400 298661468160 311105696000 319579392000 320827749000 328527614976 339388032000 342216265600 360227648000 373326835200 392975616000 410659518720 427770332000 432273177600 453767424000 466658544000 497769113600 513324398400 540341472000 547546024960 622211392000 641655498000 657055229952 678776064000 684432531200 720455296000 746653670400 821319037440 855540664000 864546355200 933317088000 1026648796800 1080682944000 1095092049920 1244422784000 1283310996000 1368865062400 1440910592000 1493307340800 1642638074880 1711081328000 1866634176000 2053297593600 2161365888000 2488845568000 2566621992000 2737730124800 3285276149760 3422162656000 3733268352000 4106595187200 4322731776000 5133243984000 5475460249600 6844325312000 7466536704000 8213190374400 10266487968000 13688650624000 16426380748800 20532975936000 27377301248000 41065951872000 82131903744000
- Sum of all divisors σ(n): 319162035628800
- Sum of proper divisors (its aliquot sum) s(n): 237030131884800
- 82131903744000 is an abundant number, because the sum of its proper divisors (237030131884800) is greater than itself. Its abundance is 154898228140800
Bases of 82131903744000
- Binary: 100101010110010110100101111001010001000000000002
- Hexadecimal: 0x4AB2D2F28800
- Base-36: T42VIWMIO
Squares and roots of 82131903744000
- 82131903744000 squared (821319037440002) is 6745649612613681217536000000
- 82131903744000 cubed (821319037440003) is 554033044673937754016167476854784000000000
-
The
square root of 82131903744000 is 9062665.3774703609 -
The
cube root of 82131903744000 is 43468.0972308643
Scales and comparisons
How big is 82131903744000?- 82,131,903,744,000 seconds is equal to 2,611,540 years, 25 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 82,131,903,744,000 would take you about six million, five hundred twenty-eight thousand, eight hundred fifty-one 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 82131903744000 cubic inches would be around 3622.3 feet tall.
Recreational maths with 82131903744000
- 82131903744000 backwards is 00044730913128
- The number of decimal digits it has is: 14
- The sum of 82131903744000's digits is 42
- More coming soon!
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The information we have on file for 82131903744000 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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