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MathNet 2018-part-01 — 181 problems (EN–VI) Question 127

Math Olympiad Vault · MathNet 2018-part-01 — 181 problems (EN–VI)

Question 127

Let $A = 2^7(7^{14} + 1) + 2^6 \cdot 7^{11} \cdot 10^2 + 2^6 \cdot 7^7 \cdot 10^4 + 2^4 \cdot 7^3 \cdot 10^6$.
Prove that the number $A$ ends with 14 zeroes.