482697269381250
482,697,269,381,250 is an even composite number composed of six prime numbers multiplied together.
482697269381250 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 482697269381250:
2 × 33 × 55 × 73 × 112 × 413
(2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 41 × 41 × 41)See below for interesting mathematical facts about the number 482697269381250 from the Numbermatics database.
Names of 482697269381250
- Cardinal: 482697269381250 can be written as Four hundred eighty-two trillion, six hundred ninety-seven billion, two hundred sixty-nine million, three hundred eighty-one thousand, two hundred fifty.
Scientific notation
- Scientific notation: 4.8269726938125 × 1014
Factors of 482697269381250
Divisors of 482697269381250
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 27 30 33 35 41 42 45 49 50 54 55 63 66 70 75 77 82 90 98 99 105 110 121 123 125 126 135 147 150 154 165 175 189 198 205 210 225 231 242 245 246 250 270 275 287 294 297 315 330 343 350 363 369 375 378 385 410 441 450 451 462 490 495 525 539 550 574 594 605 615 625 630 675 686 693 726 735 738 750 770 825 847 861 875 882 902 945 990 1025 1029 1050 1078 1089 1107 1125 1155 1210 1225 1230 1250 1323 1350 1353 1375 1386 1435 1470 1485 1575 1617 1650 1681 1694 1715 1722 1750 1815 1845 1875 1890 1925 2009 2050 2058 2079 2178 2205 2214 2250 2255 2310 2450 2475 2541 2583 2625 2646 2695 2706 2750 2870 2970 3025 3075 3087 3125 3150 3157 3234 3267 3362 3375 3430 3465 3630 3675 3690 3750 3773 3850 4018 4059 4125 4158 4235 4305 4375 4410 4510 4725 4851 4950 4961 5043 5082 5125 5145 5166 5250 5390 5445 5535 5625 5775 5929 6027 6050 6125 6150 6174 6250 6314 6534 6615 6750 6765 6875 6930 7175 7350 7425 7546 7623 7749 7875 8085 8118 8250 8405 8470 8575 8610 8750 9075 9225 9261 9375 9450 9471 9625 9702 9922 10045 10086 10250 10290 10395 10890 11025 11070 11250 11275 11319 11550 11767 11858 12054 12177 12250 12375 12705 12915 13125 13230 13475 13530 13750 14063 14350 14553 14850 14883 15125 15129 15246 15375 15435 15498 15750 15785 16170 16335 16810 16875 17150 17325 17787 18081 18150 18375 18450 18491 18522 18750 18865 18942 19250 20090 20295 20625 20790 21175 21525 21875 22050 22099 22550 22638 22869 23534 23625 24255 24354 24750 24805 25215 25410 25625 25725 25830 26250 26950 27225 27675 28125 28126 28413 28875 29106 29645 29766 30135 30250 30258 30625 30750 30870 31570 32670 33075 33750 33825 33957 34375 34650 34727 35301 35574 35875 36162 36750 36982 37125 37730 38115 38745 39375 40425 40590 41250 41503 42025 42189 42350 42875 43050 43750 44198 44649 45375 45387 45738 46125 46305 47250 47355 48125 48510 49610 50225 50430 51250 51450 51975 53361 54243 54450 55125 55350 55473 56250 56375 56595 56826 57750 58835 59290 60270 60885 61250 61875 63525 64575 65625 66150 66297 67375 67650 67914 68750 68921 69454 70315 70602 71750 72765 74250 74415 75625 75645 76230 76875 77175 77490 78750 78925 80850 81675 82369 83006 84050 84375 84378 85239 85750 86625 88935 89298 90405 90750 90774 91875 92250 92455 92610 94325 94710 96250 100450 101475 101871 103125 103950 104181 105875 105903 106722 107625 108486 110250 110495 110946 112750 113190 114345 117670 118125 121275 121770 123750 124025 124509 126075 126567 127050 128125 128625 129150 129437 131250 132594 133947 134750 136125 137842 138375 140630 142065 144375 145530 148225 148830 150675 151250 151290 153125 153750 154350 154693 157850 160083 163350 164738 165375 166419 168750 169125 169785 170478 173250 173635 176505 177870 179375 180810 183750 184910 185625 188650 190575 193725 196875 198891 202125 202950 203401 203742 206250 206763 207515 208362 210125 210945 211750 211806 214375 215250 220990 223245 226875 226935 228690 230625 231525 236250 236775 240625 242550 243089 247107 248050 249018 251125 252150 253134 256250 257250 258874 259875 266805 267894 271215 272250 275625 276750 277365 281875 282975 284130 288750 294175 296450 301350 304425 306250 309375 309386 312543 317625 317709 320166 322875 330750 331485 332838 336875 338250 339570 344605 347270 351575 353010 358750 363825 371250 372075 373527 378125 378225 379701 381150 384375 385875 387450 388311 393750 394625 397782 404250 406802 408375 411845 413526 415030 420250 421890 426195 428750 433125 444675 446490 452025 453750 453870 459375 461250 462275 463050 464079 471625 473550 481250 482447 486178 494214 499257 502250 507375 509355 519750 520905 529375 529515 533610 538125 542430 551250 552475 554730 563750 565950 571725 576583 588350 590625 596673 606375 608850 610203 618750 620125 620289 622545 625086 630375 632835 635250 635418 643125 645750 647185 662970 669735 673750 680625 689210 691875 703150 710325 721875 727650 729267 741125 741321 744150 747054 753375 756250 756450 758131 759402 768750 771750 773465 776622 789250 800415 816750 823690 826875 832095 845625 848925 852390 866250 868175 882525 889350 896875 904050 906059 918750 924550 928125 928158 937629 943250 952875 964894 968625 994455 998514 1010625 1014750 1017005 1018710 1033815 1037575 1041810 1050625 1054725 1058750 1059030 1071875 1076250 1104950 1116225 1120581 1134375 1134675 1143450 1153125 1153166 1157625 1164933 1181250 1183875 1193346 1212750 1215445 1220406 1235535 1240250 1240578 1245090 1255625 1260750 1265670 1286250 1294370 1299375 1334025 1339470 1356075 1361250 1378125 1383750 1386825 1392237 1409375 1414875 1420650 1423807 1443750 1447341 1458534 1470875 1482250 1482642 1506750 1516262 1522125 1546930 1562715 1588125 1588545 1600830 1614375 1653750 1657425 1664190 1684375 1691250 1697850 1701623 1723025 1729749 1736350 1757875 1765050 1793750 1812118 1819125 1830609 1856250 1860375 1860867 1867635 1875258 1891125 1898505 1905750 1929375 1937250 1941555 1973125 1988910 2021250 2034010 2041875 2059225 2067630 2075150 2101250 2109450 2130975 2143750 2165625 2187801 2223375 2223963 2232450 2241162 2260125 2268750 2269350 2274393 2306250 2311375 2315250 2320395 2329866 2358125 2367750 2412235 2430890 2471070 2496285 2511250 2536875 2546775 2598750 2604525 2646875 2647575 2668050 2690625 2712150 2718177 2756250 2762375 2773650 2784474 2818750 2829750 2847614 2858625 2882915 2894682 2941750 2983365 3031875 3044250 3051015 3100625 3101445 3112725 3125430 3151875 3164175 3176250 3177090 3215625 3228750 3235925 3314850 3348675 3368750 3377129 3403125 3403246 3446050 3459375 3459498 3494799 3515750 3551625 3638250 3646335 3661218 3705625 3706605 3720750 3721734 3735270 3766875 3782250 3790655 3797010 3858750 3867325 3883110 3946250 4002075 4083750 4118450 4134375 4160475 4176711 4228125 4244625 4261950 4271421 4331250 4340875 4342023 4375602 4412625 4446750 4447926 4520250 4530295 4548786 4622750 4640790 4688145 4716250 4764375 4824470 4843125 4972275 4992570 5053125 5073750 5085025 5093550 5104869 5169075 5187875 5189247 5209050 5253125 5273625 5293750 5295150 5306917 5381250 5436354 5491827 5524750 5581125 5602905 5673375 5717250 5765830 5788125 5824665 5919375 5966730 6063750 6077225 6102030 6177675 6201250 6202890 6225450 6278125 6303750 6328350 6342413 6431250 6471850 6496875 6563403 6670125 6697350 6754258 6780375 6806250 6823179 6918750 6934125 6961185 6989598 7074375 7103250 7119035 7236705 7292670 7354375 7411250 7413210 7533750 7581310 7610625 7734650 7813575 7940625 7942725 8004150 8071875 8154531 8268750 8287125 8320950 8339441 8353422 8456250 8489250 8508115 8542842 8615125 8648745 8681750 8684046 8789375 8825250 9060590 9095625 9153045 9301875 9304335 9338175 9376290 9455625 9492525 9528750 9646875 9686250 9707775 9865625 9944550 9966649 10106250 10131387 10170050 10209375 10209738 10296125 10338150 10375750 10378494 10506250 10547250 10613834 10654875 10939005 10983654 11116875 11119815 11162250 11205810 11300625 11346750 11371965 11556875 11576250 11601975 11649330 11790625 11838750 12061175 12154450 12355350 12481425 12556250 12684375 12684826 12733875 12814263 12993750 13022625 13026069 13126806 13237875 13340250 13560750 13590885 13646358 13811875 13868250 13922370 14148750 14238070 14293125 14414575 14473410 14708750 14916825 15159375 15221250 15255075 15314607 15503125 15507225 15563625 15567741 15627150 15759375 15820875 15881250 15885450 15920751 16143750 16179625 16309062 16574250 16678882 16743375 16885645 17016230 17230250 17297490 17473995 17578750 17758125 18191250 18231675 18306090 18528125 18533025 18603750 18608670 18676350 18834375 18911250 18953275 18985050 19027239 19293750 19336625 19415550 19731250 19933298 20010375 20262774 20418750 20469537 20592250 20802375 20883555 21223125 21309750 21357105 21704375 21710115 21878010 22063125 22233750 22239630 22601250 22651475 22743930 23113750 23203950 23440725 23581250 23639903 23821875 24122350 24215625 24463593 24861375 24962850 25018323 25368750 25425125 25467750 25524345 25628526 25845375 25939375 25946235 26045250 26052138 26368125 26475750 26534585 27181770 27459135 27623750 27905625 28014525 28366875 28586250 28829150 28940625 29123325 29596875 29833650 29899947 30318750 30386125 30394161 30510150 30629214 30888375 31006250 31014450 31127250 31135482 31518750 31641750 31712065 31841502 32359250 32817015 33350625 33486750 33771290 33901875 34115895 34670625 34805925 34947990 35371875 35516250 35595175 36183525 36463350 36771875 37056250 37066050 37148419 37668750 37906550 38053125 38054478 38442789 38673250 39067875 39713625 40020750 40772655 40939074 41435625 41604750 41697205 41767110 42446250 42540575 42714210 43075625 43243725 43408750 43420230 43946875 44126250 45302950 45478125 45765225 45943821 46509375 46521675 46690875 46881450 47278125 47279806 47462625 47643750 47762253 48431250 48538875 48927186 49722750 49833245 50036646 50656935 50850250 51048690 51480625 51690750 51878750 51892470 52736250 53069170 53274375 54695025 54918270 55584375 55599075 55811250 56029050 56503125 56733750 56859825 57081717 57784375 57881250 58009875 58246650 58376087 59193750 59799894 60305875 60772250 60788322 61776750 62407125 63424130 63669375 64071315 65113125 65130345 65634030 66189375 66701250 67803750 67954425 68231790 69059375 69341250 69611850 69766543 70743750 70919709 71190350 71465625 72072875 72367050 73543750 74296838 74584125 75054969 76106250 76275375 76573035 76885578 77536125 77818125 77838705 78135750 79104375 79427250 79603755 80898125 81545310 82871250 83394410 83716875 84428225 85081150 86151250 86487450 87369975 87893750 88790625 89699841 90956250 91158375 91182483 91530450 91887642 92665125 93018750 93043350 93381750 94556250 94766375 94925250 95136195 95524506 96683125 97077750 99666490 100051875 101313870 102347685 102961250 104011875 104417775 106115625 106548750 106785525 108521875 108550575 109390050 110315625 111168750 111198150 111445257 113006250 113257375 113719650 114163434 115568750 116019750 116752174 117203625 118199515 120611750 122317965 124306875 124814250 125091615 127125625 127338750 127621725 128142630 129226875 129696875 129731175 130226250 130260690 131840625 132378750 132672925 135908850 137295675 138118750 139528125 139533086 140072625 141834375 141839418 142931250 143286759 144145750 145616625 149168250 149499735 150109938 151930625 151970805 152550750 153146070 154441875 155072250 155636250 155677410 158208750 158560325 159207510 161796250 164085075 166753125 167433750 168856450 169509375 170579475 171245151 173353125 174029625 174739950 175128261 177581250 177975875 179399682 180917625 182316750 182364966 185330250 185742095 189532750 190272390 192213945 193366250 195339375 198568125 200103750 203863275 204695370 207178125 208023750 208486025 208835550 209299629 212231250 212702875 212759127 213571050 215378125 216218625 217043750 217101150 220631250 222890514 225164907 226514750 228826125 229719105 232608375 233454375 234407250 236399030 237313125 238811265 242694375 244635930 248613750 249166225 250183230 253284675 254251250 255243450 257403125 258453750 259393750 259462350 260038933 263681250 265345850 266371875 269099523 273475125 274591350 277995375 279056250 280145250 283668750 284299125 285408585 286573518 290049375 291233250 291880435 298999470 301529375 303861250 303941610 308883750 312035625 317120650 318346875 320356575 325565625 325651725 328170150 330946875 333506250 334335771 339018750 339772125 341158950 342490302 346706250 348059250 348832715 350256522 354598545 355951750 360364375 361835250 371484190 372920625 375274845 381376875 382865175 384427890 387680625 389090625 389193525 390678750 395521875 397136250 398018775 404490625 407726550 408632609 414356250 416972050 418584375 418599258 422141125 425405750 425518254 430756250 432437250 436849875 448499205 450329814 455791875 455912415 457652250 459438210 463325625 465216750 466908750 473831875 474626250 475680975 477622530 483415625 485388750 498332450 500259375 506569350 511738425 514806250 520059375 520077866 522088875 525384783 532743750 533927625 538199046 542752875 546950250 555990750 557226285 566286875 568598250 570817170 580098750 583760870 586018125 590997575 603058750 611589825 621534375 624071250 625458075 627898887 635628125 636693750 638108625 638277381 640713150 646134375 648655875 651131250 651303450 661893750 663364625 668671542 679544250 686478375 697665430 700363125 709197090 716433795 720728750 728083125 745841250 747498675 750549690 759653125 759854025 762753750 765730350 772209375 775361250 778181250 778387050 780116799 791043750 792801625 796037550 808981250 817265218 820425375 837168750 844282250 852897375 856225755 870148125 873699750 875641305 889879375 896998410 904588125 911583750 911824830 926651250 928710475 947663750 951361950 961069725 966831250 976696875 992840625 1000518750 1003007313 1019316375 1023476850 1040118750 1042430125 1044177750 1046498145 1050769566 1063514375 1063795635 1067855250 1081093125 1085505750 1114452570 1125824535 1132573750 1144130625 1148595525 1163041875 1167271875 1172036250 1181995150 1186565625 1194056325 1213471875 1223179650 1225897827 1243068750 1245831125 1250916150 1255797774 1266423375 1271256250 1276217250 1276554762 1292268750 1297311750 1300194665 1326729250 1345497615 1367375625 1372956750 1389976875 1400726250 1421495625 1427042925 1432867590 1450246875 1456166250 1459402175 1494997350 1507646875 1519306250 1519708050 1544418750 1560178125 1560233598 1576154349 1585603250 1601782875 1628258625 1640850750 1671678855 1698860625 1705794750 1712451510 1740296250 1744163575 1751282610 1772992725 1779758750 1801821875 1809176250 1857420950 1864603125 1876374225 1883696661 1906884375 1914325875 1922139450 1938403125 1945967625 1953393750 1985681250 1990093875 2006014626 2038632750 2043163045 2084860250 2092996290 2110705625 2127028750 2127591270 2162186250 2184249375 2242496025 2251649070 2278959375 2279562075 2288261250 2297191050 2316628125 2326083750 2334543750 2340350397 2369159375 2373131250 2378404875 2388112650 2426943750 2451795654 2491662250 2532846750 2558692125 2600389330 2610444375 2626923915 2669638125 2690995230 2713764375 2734751250 2779953750 2786131425 2831434375 2842991250 2854085850 2860428263 2900493750 2918804350 2930090625 2954987875 3015293750 3057949125 3120356250 3127290375 3139494435 3152308698 3190543125 3191386905 3203565750 3243279375 3256517250 3316823125 3343357710 3397721250 3432391875 3488327150 3501815625 3545985450 3582168975 3603643750 3640415625 3677693481 3729206250 3737493375 3752748450 3767393322 3799270125 3813768750 3828651750 3876806250 3891935250 3900583995 3964008125 3980187750 4086326090 4102126875 4221411250 4264486875 4281128775 4350740625 4368498750 4378206525 4449396875 4484992050 4522940625 4557918750 4559124150 4633256250 4643552375 4680700794 4738318750 4756809750 4805348625 5015036565 5096581875 5117384250 5212150625 5220888750 5232490725 5253847830 5317571875 5318978175 5339276250 5405465625 5427528750 5572262850 5629122675 5662868750 5720653125 5720856526 5742977625 5815209375 5860181250 5909975750 5970281625 6115898250 6129489135 6229155625 6254580750 6278988870 6332116875 6381086250 6382773810 6486558750 6500973325 6633646250 6727488075 6836878125 6864783750 6949884375 7003631250 7021051191 7107478125 7135214625 7164337950 7280831250 7297010875 7355386962 7474986750 7598540250 7801167990 7880771745 7928016250 8008914375 8141293125 8204253750 8358394275 8494303125 8528973750 8562257550 8581284789 8701481250 8720817875 8756413050 8864963625 8898793750 9045881250 9287104750 9381871125 9418483305 9571629375 9610697250 9729838125 9950469375 10030073130 10193163750 10215815225 10424301250 10464981450 10553528125 10635143750 10637956350 10810931250 10921246875 11033080443 11212480125 11258245350 11397810375 11441306250 11485955250 11630418750 11701751985 11892024375 11940563250 12258978270 12458311250 12664233750 12793460625 13001946650 13052221875 13134619575 13348190625 13454976150 13568821875 13673756250 13899768750 13930657125 14042102382 14214956250 14270429250 14302141315 14594021750 14774939375 15289745625 15636451875 15697472175 15761543490 15952715625 15956934525 16017828750 16216396875 16282586250 16584115625 16716788550 16988606250 17161959375 17162569578 17441635750 17729927250 17910844875 18388467405 18687466875 18763742250 18836966610 18996350625 19143258750 19459676250 19502919975 19820040625 19900938750 20431630450 20510634375 21107056250 21322434375 21405643875 21842493750 21891032625 22066160886 22424960250 22795620750 23217761875 23403503970 23784048750 24026743125 25075182825 25482909375 25586921250 25743854367 26060753125 26104443750 26162453625 26269239150 26594890875 26696381250 27137643750 27861314250 28145613375 28604282630 28714888125 29549878750 29851408125 30579491250 30647445675 31145778125 31272903750 31394944350 31660584375 31905431250 31913869050 32432793750 32504866625 33168231250 33637440375 34323918750 35105255955 35676073125 35821689750 36485054375 36776934810 37374933750 37992701250 39005839950 39403858725 39640081250 40044571875 40706465625 41021268750 41791971375 42644868750 42811287750 42906423945 43604089375 43782065250 44324818125 46435523750 46909355625 47092416525 47858146875 48053486250 48649190625 49752346875 50150365650 50965818750 51079076125 51487708734 52121506250 52324907250 53189781750 55165402215 56062400625 56291226750 56989051875 57429776250 58508759925 59460121875 59702816250 61294891350 62291556250 63321168750 63967303125 65009733250 65673097875 67274880750 69653285625 70210511910 71352146250 71510706575 72970108750 73874696875 76448728125 77231563101 78182259375 78487360875 78807717450 79784672625 80089143750 81412931250 83583942750 85812847890 87208178750 88649636250 89554224375 91942337025 93437334375 93818711250 94184833050 94981753125 95716293750 97298381250 97514599875 99504693750 102158152250 107028219375 109455163125 110330804430 112124801250 113978103750 116088809375 117017519850 118920243750 120133715625 125375914125 127934606250 128719271835 130812268125 131346195750 132974454375 139306571250 140728066875 143021413150 143574440625 147749393750 149257040625 152897456250 153237228375 154463126202 156364518750 156974721750 159569345250 162524333125 168187201875 175526279775 178380365625 179108448750 182425271875 183884674050 186874668750 189963506250 195029199750 197019293625 208959856875 214056438750 214532119725 218020446875 218910326250 221624090625 232177618750 234546778125 235462082625 240267431250 250751828250 255395380625 257438543670 261624536250 265948908750 275827011075 280312003125 281456133750 284945259375 287148881250 292543799625 298514081250 306474456750 325048666250 328365489375 336374403750 348266428125 351052559550 356760731250 357553532875 364850543750 386157815505 392436804375 394038587250 398923363125 417919713750 429064239450 436040893750 443248181250 447771121875 459711685125 469093556250 470924165250 487572999375 510790761250 535141096875 547275815625 551654022150 560624006250 569890518750 585087599250 626879570625 643596359175 654061340625 656730978750 664872271875 696532856250 703640334375 715107065750 766186141875 772315631010 784873608750 797846726250 812621665625 840936009375 877631398875 895542243750 919423370250 975145998750 985096468125 1044799284375 1070282193750 1072660598625 1094551631250 1177310413125 1253759141250 1276976903125 1287192718350 1308122681250 1329744543750 1379135055375 1407280668750 1462718998125 1532372283750 1625243331250 1641827446875 1681872018750 1755262797750 1787767664375 1930789077525 1962184021875 1970192936250 1994616815625 2089598568750 2145321197250 2298558425625 2354620826250 2437864996875 2553953806250 2758270110750 2925437996250 3134397853125 3217981795875 3283654893750 3575535328750 3830930709375 3861578155050 3924368043750 3989233631250 4388156994375 4597116851250 4875729993750 4925482340625 5363302993125 5886552065625 6268795706250 6435963591750 6895675276875 7313594990625 7661861418750 8776313988750 8938838321875 9653945387625 9850964681250 10726605986250 11492792128125 11773104131250 13791350553750 14627189981250 16089908979375 17877676643750 19307890775250 21940784971875 22985584256250 26816514965625 32179817958750 34478376384375 43881569943750 48269726938125 53633029931250 68956752768750 80449544896875 96539453876250 160899089793750 241348634690625 482697269381250
- Sum of all divisors σ(n): 1761572002176000
- Sum of proper divisors (its aliquot sum) s(n): 1278874732794750
- 482697269381250 is an abundant number, because the sum of its proper divisors (1278874732794750) is greater than itself. Its abundance is 796177463413500
Bases of 482697269381250
- Binary: 11011011100000010101101110100011010001000100000102
- Hexadecimal: 0x1B702B7468882
- Base-36: 4R3O2BBCSI
Squares and roots of 482697269381250
- 482697269381250 squared (4826972693812502) is 232996653868115028757851562500
- 482697269381250 cubed (4826972693812503) is 112466848597107384846490266240063720703125000
-
The
square root of 482697269381250 is 21970372.5362418469 -
The
cube root of 482697269381250 is 78443.7380342989
Scales and comparisons
How big is 482697269381250?- 482,697,269,381,250 seconds is equal to 15,348,280 years, 4 weeks, 3 days, 4 hours, 7 minutes, 30 seconds.
-
To count from 1 to 482,697,269,381,250 would take you about thirty-eight million, three hundred seventy thousand, seven hundred 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 482697269381250 cubic inches would be around 6537 feet tall.
Recreational maths with 482697269381250
- 482697269381250 backwards is 052183962796284
- The number of decimal digits it has is: 15
- The sum of 482697269381250's digits is 72
- More coming soon!
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The information we have on file for 482697269381250 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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