Husband, maths teacher, pescatarian, geriatric millennial. May talk Nintendo, NFFC. Views I express here are mine and may not be my employer’s views. He/him.
A factorion is an integer which is equal to the sum of factorials of its digits.
There are exactly four such numbers:
1 = 1!
2 = 2!
145 = 1! 4! 5!
40585 = 4! 0! 5! 8! 5!
Your brain treats million, billion, and trillion like cousins. In reality, they live in different universes.
• 1 million seconds ago → Jan 9, 2026
• 1 billion seconds ago → May 14, 1994
• 1 trillion seconds ago → ~29,700 BC
About to see if we can squeeze three cancelled trains’ worth of people on the 16:15 to London Euston, a train I must be on. I need to get home to pick up my inhaler from the pharmacy before it closes. Wish me luck!
Good luck and good skill to everyone taking #gcsemaths Paper 3 today! It’s the final hurdle: give it everything you’ve got. If you get stuck, go to the next question - but remember that a blank space is definitely 0 marks. If you start to panic, focus on your breathing for a bit.
Good luck and good skill to everyone doing #gcsemaths paper 2 today! You’ve got this: remember what you’ve been practising and keep calm through each question. If it gets too much, breathe in for a quick count of 7 and out for a quick count of 11… and repeat, if you need to!
Good luck and good skill to everyone sitting #gcsemaths Paper 1 today! Try to be on time and calm throughout. If a question is too hard, move on - but also remember that a blank space is definitely 0 marks. If you’re struggling, stop to breathe: in for a count of 7, out for 11.