A pile of diameter $0.4$ m is fully embedded in a clay stratum having $5$ layers, each $5$ m thick as shown in the figure below. Assume a constant unit weight of soil as $18 \: kN/m^3$ for all the layers. Using $\lambda$-method. ($ \lambda = 0.15$ for $25$ m embedment length) and neglecting the end bearing component the ultimate pile capacity (in kN) is ___________.