def calculate_total_power_consumption(devices):
    """
    Given a dictionary of devices with their corresponding power consumption, calculate the total power consumption.

    Args:
    devices (dict): A dictionary where the keys are the names of the devices (strings) and the values are
                    their power consumption (positive integers).

    Returns:
    int: The total power consumption of all devices.

    """

    # Initialize the total power consumption to 0
    total_power = 0

    # Loop through each device in the dictionary
    for device in devices:
        # Check if the power consumption is a positive integer
        if isinstance(devices[device], int) and devices[device] > 0:
            # Add the power consumption of the device to the total power consumption
            total_power += devices[device]

    # Return the total power consumption
    return total_power