The least number that cannot be written using the numbers 0, 1, 2, and 3, each exactly once, and any combination of standard arithmetic operations (including factorials) is 41. What is the least such number if the numbers 0, 1, 2, 3, and 4 are allowed?
Allowed operations are addition, subtraction, multiplication, division, factorials, exponents, square roots, decimal points, intermediate non-integer results, concatenation, recurring decimals, and any amount of parenthesis and brackets. No other digits besides one of each of 0, 1, 2, 3, and 4.