IPhone won't turn on or charge! Broken lock button

Yesterday my iPhone 4S turned off by its self and I can't get it to turn on. I tried charging it but nothing happens. My lock button is broken so I can't hold the home/power buttons to turn it on. My phone won't even charge on my laptop so iTunes has no device connected to it. Please Help!

Added (1). Before it tuned off it had about 40-ish percent. I've had it charging since last night hoping it would help but nothing's happened.

Go to the apple store

How much battery did it have before it turned off? And how long did you charge it? Other than that, the only thing I can come up with is that it's out of batteries, try putting it on the charger, and keeping it on there for a while