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The localization technique allows us to compute the free energy of the U(N)_kx U(N)_{-k} Chern-Simons-matter theory dual to type IIA strings on AdS_4 x CP^3from weak to strong 't Hooft coupling \lambda = N / k at finite N, asdemonstrated by Drukker, Marino, and Putrov. In this note we study further thefree energy at large 't Hooft coupling with the aim of testing AdS/CFT at thequantum gravity level and, in particular, sum up all the 1/N corrections, apartfrom the worldsheet instanton contributions. The all genus partition functiontakes a remarkably simple form -- the Airy function, Ai (k^{4/3} \lambda_r),with the renormalized 't Hooft coupling \lambda_r.

Summing Up All Genus Free Energy of ABJM Matrix Model