i fell off a tree
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monster group order
808017424794512875886459904961710757005754368000000000
= 2^46 * 3^20 * 5^9 * 7^6 * 11^2 * 13^3 * 17 * 19 * 23 * 29 * 31 * 41 * 47 * 59 * 71