User blog comment:Superman37891/LORD/@comment-31663462-20170419010639

Lame man, just take  $$g_\alpha(n)$$  to be the fast growing hierarchy with $$g_0(n)=\operatorname{Rayo}(n)$$. Then my number would be $$g_{\text{Bachmann-Howard Ordinal}}(10^{100})$$. :-)