Looking on the internet deeply has found these results:

not being is the most popular phrase on the web.

being not 115,600,000 results on the web	not being 1314,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
The consumer is just unlucky in being not the first, but the umpteenth claimant. There are several initiatives that are proposed to the club's members, among them is imporant to mention the wonderful Dolomites tour, which we are very sorry to being not able to participate this year. And Buffy's completely being not herself. I was never supposed to lose him and I couldn't bear the thought of being not with him. It's really pr etty startling how little time it takes to go from being in the zone to being not in the zone. No, I'm just saying That I am so tired of being not someone. In retrospect of this year's Debian conference Joey Hess complained about being not very productive at conferences and high expectations that also block productivity and socialising. The reason being not all of options likely to work.	I hope I'm not being too personal. Our new principal apologizes for not being here. Hotheaded Greece nationalists criticized Karamanlis for not being more aggressive. I struggle with not being greener. He already regrets not being here. Elizabeth... you lied about not being pregnant. It's so weird not being at home. And speaking of not being your secretary anymore...

being not

115,600,000 results on the web

not being

1314,000,000 results on the web

More popular!

The consumer is just unlucky in being not the first, but the umpteenth claimant.
There are several initiatives that are proposed to the club's members, among them is imporant to mention the wonderful Dolomites tour, which we are very sorry to being not able to participate this year.
And Buffy's completely being not herself.
I was never supposed to lose him and I couldn't bear the thought of being not with him.
It's really pr etty startling how little time it takes to go from being in the zone to being not in the zone.
No, I'm just saying That I am so tired of being not someone.
In retrospect of this year's Debian conference Joey Hess complained about being not very productive at conferences and high expectations that also block productivity and socialising.
The reason being not all of options likely to work.

I hope I'm not being too personal.
Our new principal apologizes for not being here.
Hotheaded Greece nationalists criticized Karamanlis for not being more aggressive.
I struggle with not being greener.
He already regrets not being here.
Elizabeth... you lied about not being pregnant.
It's so weird not being at home.
And speaking of not being your secretary anymore...