You are 252,820,401,483 meters, away from the sun. You have a ship, with 8 solar arrays, each has a surface area of 200m². Your solar panels are 80% efficient, and you have 4 large batteries on your ship that can store 5 megawatt hours each. Now, you have life support taking a constant 50 kilowatts, you have 6 lights on that is taking 60 watts each, your TV is using another 80 watts and your gaming console is using 120 watts. Lets just shorten this a bit more by saying you have various other systems that use a total of 41.668 kilowatts of power. Now, in order to find out how much power you are going to be getting way out here, far from the sun, you need to take the distance squared (Distance^2), multiply it by 4*Pi, then divide the sun's luminosity by the result.

What is the wattage of your solar panel perfectly aligned with the sun? 610.343936kw
How much power is being used by your systems in total? 92.228kw
How much surplus power are you getting? 518.115936kw
How long will it take you to fill your 4 batteries to maximum capacity? 9.65034976 hours
How long will your batteries last, if your solar panels are shut down? 2.25889462 days

Also, Twile, you aren't allowed to answer this. :| We all know you'd answer it absolutely perfectly cause you are just that intelligent. :|

Well, it's been a week, only one person actually attempted. I have given the answers now. :P