You can solve this 5 sec

Let the number to be found be in based $5$ be $N_5$ , then we have:

$\begin{aligned} N_5 & = 2\dot{}5^{15} + 4\dot{}5^{14} + 3\dot{}5^{13} + \color{#3D99F6}{5^{12}} + 2\dot{}5^{11} + 2\dot{}5^{10} + 4\dot{}5^{9} + 3\dot{}5^{8} \\ & \quad + \color{#3D99F6}{5^{7}} + 2\dot{}5^{6} + 3\dot{}5^{5} + 4\dot{}5^{4} + \color{#3D99F6}{5^{3}} + \color{#3D99F6}{5^{2}} + \color{#D61F06} {19} \\ & = 2\dot{}5^{15} + 4\dot{}5^{14} + 3\dot{}5^{13} + \color{#3D99F6}{1\dot{} 5^{12}} + 2\dot{}5^{11} + 2\dot{}5^{10} + 4\dot{}5^{9} + 3\dot{}5^{8} \\ & \quad + \color{#3D99F6}{1\dot{}5^{7}} + 2\dot{}5^{6} + 3\dot{}5^{5} + 4\dot{}5^{4} + \color{#3D99F6}{1\dot{} 5^{3}} + \color{#3D99F6}{1\dot{} 5^{2}} + \color{#D61F06} {3\dot{}5^1 + 4\dot{}5^0} \quad \quad \color{#D61F06}{[19 = 15+4]} \\ & = \boxed{2413224312341134_5} \end{aligned}$

It Is very clear to get the following expressions: $5=10$ $5^2=100$ $2 \times 5^{15} = 2000000000000000$ $4 \times 5^{14} = 400000000000000$ $5^{13} = 10000000000000$ $3 \times 5^{12} = 3000000000000$ $2 \times 5^{11} = 200000000000$ $2 \times 5^{10} = 20000000000$ $4 \times 5^{9} = 4000000000$ $...........................$ $19=45$ So: $Res = \boxed{2413224312341134}$