Configuring when notifications arrive for multiple email accounts on a single iPhone?

I have 4 mail clients, all of them send push notifications. I can't just turn them off, because I need to know when new mail arrives for all of them. The problem is that my iPhone's battery is empty after three hours and then my phone is dead. How can I set when I get notifications for more than one account? Is it even possible?

I don't think i got your question correctly. You want the notifications to come only when there's mail arrived for more than one of the mail accounts? Is this right?

if you are using iOS7, goto Settings -> Notifications Center -> Mail and turn off or on the mail accounts. You can just turn them all off and periodically and go and see for your self if any mail has arrived.

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