static long factorialDivisors ( int n ) {
  sieve ( n ) ;
  long result = 1 ;
  for ( int i = 0 ;
  i < allPrimes . size ( ) ;
  i ++ ) {
    long p = allPrimes . get ( i ) ;
    long exp = 0 ;
    while ( p <= n ) {
      exp = exp + ( n / p ) ;
      p = p * allPrimes . get ( i ) ;
    }
    result = result * ( exp + 1 ) ;
  }
  return result ;
}

static long factorialDivisors ( int n ) { sieve ( n ) ; long result = 1 ; for ( int i = 0 ; i < allPrimes . size ( ) ; i ++ ) { long p = allPrimes . get ( i ) ; long exp = 0 ; while ( p <= n ) { exp = exp + ( n / p ) ; p = p * allPrimes . get ( i ) ; } result = result * ( exp + 1 ) ; } return result ; }
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