This is an update of a piece I wrote over the weekend: Mariah Carey will sing a medley of her hits– and there are a lot of them– on the season finale of “American Idol” on May 16th. Carey hasn’t performed on “Idol” this season yet. But she will debut her new single featuring Miguel, called “#Beautiful,” on Wednesday’s “Idol” May 8th. The single is already a huge hit after just a day or more in release. “Beautiful” was picked up 65 Top 40 stations and a bunch more today. You can hear it literally in every major market right now, which means by the “Idol” finale “Beautiful” may be another Mariah Carey number 1 song.