Definitions described here https://youtu.be/2gKxuBoxIm0

factorial.py

# Definitions described here https://youtu.be/2gKxuBoxIm0

def factorial(n):
  if n == 1:
    return n
  else:
    return n * factorial(n - 1)

def super_factorial(n):
  def sf(n):
    if n == 1:
      return factorial(n)
    else:
      return n * sf(n - 1)
  return factorial(n) * sf(n)

def hyper_factorial(n):
  def hf(n):
    if n == 1:
        return n ** n
    else:
        return n * hyper_factorial(n - 1)
  return (n ** n) * hf(n)