{"problem":{"name":"Factors of Factorial","description":{"content":"You are given an integer $N$. Find the number of the positive divisors of $N!$, modulo $10^9+7$.","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"arc067_a"},"statements":[{"statement_type":"Markdown","content":"You are given an integer $N$. Find the number of the positive divisors of $N!$, modulo $10^9+7$.\n\n## Constraints\n\n*   $1≤N≤10^3$\n\n## Input\n\nThe input is given from Standard Input in the following format:\n\n$N$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"arc067_a","tags":[],"sample_group":[["3","4\n\nThere are four divisors of $3!$ $=6$: $1$, $2$, $3$ and $6$. Thus, the output should be $4$."],["6","30"],["1000","972926972"]],"created_at":"2026-03-03 11:01:14"}}