0o400000

0o400000 is a numerical literal. The prefix "0o" indicates that the number is represented in octal notation. The subsequent digits, "400000", are the octal representation of the value. Therefore, 0o400000 represents the number 400,000 in base 8.

To convert this octal number to its decimal equivalent, we can use the definition of positional notation. Each digit in an octal number is multiplied by 8 raised to the power of its position, starting from the rightmost digit at position 0.

So, 0o400000 in decimal is calculated as:

4 * 8^5 + 0 * 8^4 + 0 * 8^3 + 0 * 8^2 + 0 * 8^1 + 0 * 8^0

This simplifies to:

4 * 8^5 = 4 * 32768 = 131072.

Therefore, the octal number 0o400000 is equivalent to the decimal number 131072.

This type of notation is commonly found in programming languages, particularly those influenced by C, such as Python, where it is used to represent integer literals in different bases. The octal system is a base-8 number system that uses digits from 0 to 7. It was historically used in computing due to its convenient relationship with binary (base-2), as each octal digit can represent exactly three binary digits.