82680307204000
82,680,307,204,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 82680307204000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
82680307204000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 82680307204000:
25 × 53 × 112 × 19 × 29 × 31 × 73 × 137
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 19 × 29 × 31 × 73 × 137)See below for interesting mathematical facts about the number 82680307204000 from the Numbermatics database.
Names of 82680307204000
- Cardinal: 82680307204000 can be written as Eighty-two trillion, six hundred eighty billion, three hundred seven million, two hundred four thousand.
Scientific notation
- Scientific notation: 8.2680307204 × 1013
Factors of 82680307204000
Divisors of 82680307204000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 29 31 32 38 40 44 50 55 58 62 73 76 80 88 95 100 110 116 121 124 125 137 145 146 152 155 160 176 190 200 209 220 232 242 248 250 274 275 290 292 304 310 319 341 352 365 380 400 418 440 464 475 484 496 500 548 550 551 580 584 589 605 608 620 638 682 685 725 730 760 775 800 803 836 880 899 928 950 968 992 1000 1045 1096 1100 1102 1160 1168 1178 1210 1240 1276 1364 1370 1375 1387 1450 1460 1507 1520 1550 1595 1606 1672 1705 1760 1798 1825 1900 1936 2000 2090 2117 2192 2200 2204 2263 2299 2320 2336 2356 2375 2420 2480 2552 2603 2728 2740 2750 2755 2774 2900 2920 2945 3014 3025 3040 3100 3190 3212 3344 3410 3425 3509 3596 3625 3650 3751 3800 3872 3875 3973 4000 4015 4180 4234 4247 4384 4400 4408 4495 4526 4598 4640 4712 4750 4840 4960 5104 5206 5225 5456 5480 5500 5510 5548 5800 5840 5890 6028 6050 6061 6200 6380 6424 6479 6688 6820 6850 6935 7018 7192 7250 7300 7502 7535 7600 7750 7946 7975 8030 8360 8468 8494 8525 8800 8816 8833 8990 9052 9125 9196 9424 9500 9680 9889 10001 10208 10412 10450 10585 10912 10960 11000 11020 11096 11315 11495 11600 11680 11780 12056 12100 12122 12400 12760 12848 12958 13015 13640 13700 13775 13870 14036 14384 14500 14600 14725 15004 15070 15125 15200 15257 15500 15892 15950 16060 16577 16720 16936 16988 17050 17081 17125 17545 17632 17666 17980 18104 18250 18392 18755 18848 19000 19360 19778 19865 20002 20075 20824 20900 21170 21235 21920 22000 22040 22192 22475 22630 22990 23200 23287 23560 24112 24200 24244 24800 24893 25520 25696 25916 26030 26125 27280 27400 27550 27740 28072 28633 28768 29000 29200 29450 30008 30140 30250 30305 30514 31000 31784 31900 32120 32395 33154 33440 33872 33976 34100 34162 34250 34675 35090 35332 35960 36208 36500 36784 37510 37675 38000 39556 39730 39875 40004 40150 40223 41648 41800 42340 42470 42625 42997 43703 44000 44080 44165 44384 44950 45260 45980 46574 46717 47120 48224 48400 48488 49445 49786 50005 51040 51832 52060 52250 52925 54560 54800 55100 55480 56144 56575 57266 57475 58000 58400 58900 60016 60280 60500 60610 61028 62000 63568 63800 64240 64790 65075 65627 66308 66671 67744 67952 68200 68324 68500 68875 69350 70180 70664 71269 71920 72416 73000 73568 73625 75020 75350 75487 76000 76285 79112 79460 79750 80008 80300 80446 80693 82885 83296 83600 84680 84940 85250 85405 85994 87406 87725 88160 88330 89900 90520 91960 93148 93434 93775 94240 96800 96976 98890 99325 99572 100010 100375 103664 104120 104500 105850 106175 108779 109600 110011 110200 110960 112288 112375 113150 114532 114950 116000 116435 117800 120032 120560 121000 121220 122056 123163 124000 124465 127136 127600 128480 129580 130150 131254 132616 133342 135904 136400 136648 137000 137750 138700 140360 141328 142538 143165 143840 146000 147250 150040 150700 150974 151525 152570 158224 158920 159500 160016 160600 160892 161386 161975 165770 167200 167827 169360 169880 170500 170810 171988 173375 174812 175450 176660 179800 181040 183920 186296 186868 187550 187891 188375 190019 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4162109600 4180418000 4270677025 4351595116 4386688625 4408440800 4495449500 4530427792 4566963500 4598459800 4680194000 4689218875 4712471200 4828047136 4840484000 4849284880 4866983000 4881926500 4944994450 4987652000 5148213400 5183718320 5202637000 5334213368 5419172000 5439493895 5466466592 5486417200 5510551000 5614961440 5663034740 5702090152 5748074750 5890589000 5961089200 6002200160 6035058920 6061606100 6352693600 6380638000 6435266750 6479647900 6667766710 6820682000 6833083240 6858021500 7018701800 7078793425 7127612690 7192719200 7307141600 7451361500 7502750200 7516391564 7543823650 7577007625 7811082400 7911991120 7940867000 8099559875 8267204000 8360836000 8541354050 8703190232 8773377250 8990899000 9060855584 9133927000 9196919600 9360388000 9378437750 9395489455 9698569760 9733966000 9763853000 9889988900 10296426800 10367436640 10405274000 10668426736 10878987790 10972834400 11021102000 11326069480 11404180304 11496149500 11781178000 11922178400 12070117840 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48492848800 49449944500 51482134000 51837183200 53342133680 54394938950 54864172000 56630347400 57020901520 59610892000 60131132512 60350589200 60616061000 64796479000 66677667100 68330832400 70187018000 70787934250 71276126900 75027502000 75163915640 75438236500 79119911200 82680307204 83347083875 85413540500 87031902320 89095158625 91969196000 93954894550 98899889000 102964268000 103350384005 106684267360 108789877900 113260694800 114041803040 120701178400 121232122000 129592958000 133355334200 135987347375 136661664800 140374036000 141575868500 142552253800 150055004000 150327831280 150876473000 165360614408 166694167750 170827081000 174063804640 178190317250 187909789100 197799778000 206700768010 217579755800 226521389600 234887236375 242464244000 259185916000 266710668400 271974694750 283151737000 285104507600 300655662560 301752946000 330721228816 333388335500 341654162000 356380634500 375819578200 395599556000 413401536020 435159511600 469774472750 516751920025 533421336800 543949389500 566303474000 570209015200 603505892000 661442457632 666776671000 683308324000 712761269000 751639156400 826803072040 870319023200 939548945500 1033503840050 1087898779000 1132606948000 1333553342000 1425522538000 1503278312800 1653606144080 1879097891000 2067007680100 2175797558000 2583759600125 2667106684000 2851045076000 3307212288160 3758195782000 4134015360200 4351595116000 5167519200250 7516391564000 8268030720400 10335038400500 16536061440800 20670076801000 41340153602000 82680307204000
- Sum of all divisors σ(n): 256288325529600
- Sum of proper divisors (its aliquot sum) s(n): 173608018325600
- 82680307204000 is an abundant number, because the sum of its proper divisors (173608018325600) is greater than itself. Its abundance is 90927711121600
Bases of 82680307204000
- Binary: 100101100110010100000100101011100111111101000002
- Hexadecimal: 0x4B3282573FA0
- Base-36: TB2T460F4
Squares and roots of 82680307204000
- 82680307204000 squared (826803072040002) is 6836033199347814297616000000
- 82680307204000 cubed (826803072040003) is 565205324978820258572834364825664000000000
-
The
square root of 82680307204000 is 9092871.2299251219 -
The
cube root of 82680307204000 is 43564.6297327229
Scales and comparisons
How big is 82680307204000?- 82,680,307,204,000 seconds is equal to 2,628,978 years, 1 week, 1 day, 1 hour, 6 minutes, 40 seconds.
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To count from 1 to 82,680,307,204,000 would take you about six million, five hundred seventy-two thousand, four hundred forty-five 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 82680307204000 cubic inches would be around 3630.4 feet tall.
Recreational maths with 82680307204000
- 82680307204000 backwards is 00040270308628
- 82680307204000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 82680307204000's digits is 40
- More coming soon!
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The information we have on file for 82680307204000 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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