What is the sum of the digit in
4444^4444
http://www.quora.com/What-is-the-sum-of-digits-in-the-number-4444-4444?redirected_qid=3352432
This is an old trick. I think you mean the sum of digits of the sum of digits, which is 7.
16
To find the sum of the digits in a number, you need to calculate the value of that number first. However, calculating the value of a large number like 4444^4444 directly is computationally expensive and time-consuming. Therefore, let's use a different approach to find the sum of the digits.
To calculate the sum of the digits in a large number, we can use a mathematical property called congruence. The concept of congruence states that if we take the modulus of a number with respect to some other number, the remainder obtained will be equivalent to the original number, modulo the second number.
In this case, we'll use congruence modulo 9 to find the sum of the digits. According to this property, if we take the modulus of a number with respect to 9, the remainder obtained will be equal to the sum of its digits, modulo 9.
So, to find the sum of the digits in 4444^4444, we calculate (4444^4444) % 9. Let's break it down step by step:
Step 1: Calculate the value of 4444^4444 modulo 9.
Step 2: The obtained result will be equivalent to the sum of the digits in 4444^4444 modulo 9.
Step 3: Calculate the remainder of this result when divided by 9 to get the final sum of the digits.
Now, let's use a programming language or a calculator with support for large numbers to perform this calculation.