A number is said to be a Peterson number if the sum of factorials of each digit of the number is equal to the number itself.
Input : n = 145 Output = Yes Explanation: 145 = 5! + 4! + 1! = 120 + 24 +1 = 145 Input : n = 55 Output : No Explanation: 5! + 5! = 120 + 120 = 240 Since 55 is not equal to 240 It is not a Peterson number.
We will pick each digit (Starting from the last digit) of given number and find its factorial. And add all factorials. Finally we check if sum of factorials is equal to number or not.
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