Weird Noise From Right Side Of PS4

That would be right where the fan is located. First of all it is normal to hear the fan spinning. When you are playing a game that taxes the system and creates a lot of heat, the fan will spin faster and you can hear it when it does this. This is completely normal and I'm guessing that this is what is happening with yours but there are a few other things that could be going on here as well.

It could be that there is dirt and debris built up somewhere there where the fan is located and when it spins fast it creates a noise that you can hear.

It's hard to tell by the way your question is worded whether you bought it brand new from the store or just that it's the new model of PS4. If it's a brand new one from the store then I would hope that there is no dirt or debris there. If that's the case then it could just be either something not lined up quite right or maybe something from the manufacturing process could have gotten caught in the fan.

I hope this helps.