IPhone 4S shut off, won't turn on, and is warm?

I have an iPhone 4S that I got (refurbished) a few months ago to replace a lost one. I've been having some problems with it but nothing more than inconveniences, like randomly restarting itself and sometimes freezing. Well I just looked over at it to check my texts and it had shut itself off. It won't turn back on no matter how long I hold the home and top buttons. It definitely had at least 50% charge in it when this happened, may have even been plugged in at the time (I can't remember).It's also pretty warm if that means anything. I plugged it into my computer and nothing, but my laptop is too old for my iTunes to be compatible with iOS6 anyway. Is there anything I can do to see if it'll work again?

Take the battery out and get a new battery. Your battery is warm.

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