My phone won't charge or turn on?

Okay. So, Sunday evening (6.28) my phone died and due to lack of a working charger, I wasn't able to even think of charging it until today (7.1). I plugged it in with a brand new cord at about five, knowing it would probably be a bit until it showed that it was charging. It has been five hours and nothing has happened, not even a flash of the apple logo. I have tried the hard reset, different outlets... I don't have any idea what's wrong?

IPhone 5s, 16 GB (its only about seven months old)