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MathNet 2006 — Part 02 Question 5

Math Olympiad Vault · MathNet 2006 — Part 02

Question 5

We denote $29!$ as the product of the 29 positive enteros since 1 to 29, and that is to say,
$$29! = 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8 \cdot 9 \cdot 10 \cdot 11 \cdot 12 \cdot 13 \cdot 14 \cdot 15 \cdot 16 \cdot 17 \cdot 18 \cdot 19 \cdot 20 \cdot 21 \cdot 22 \cdot 23 \cdot 24 \cdot 25 \cdot 26 \cdot 27 \cdot 28 \cdot 29.$$
Check the digits $a$, $b$, $c$, $d$
$$29! = 884176199ab3970195454361cd00000.$$