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The Rest Is Science

(Finite) Numbers So Large They'd Destroy You

The Rest Is Science

Goalhanger

Physics, Science, Mathematics

4.51K Ratings

🗓️ 10 February 2026

⏱️ 60 minutes

🧾️ Download transcript

Summary

It starts as a friendly challenge: who can name the biggest number? The only rule? Infinity doesn’t count. What follows is a journey through the biggest finite numbers ever imagined. From Archimedes’ grains of sand to Graham’s Number, a sequence so vast it stretches the limits of human comprehension, Professor Hannah Fry and Michael Stevens tumble through this strange landscape of scale, tracing how mathematicians have pushed counting to its absolute edge. But beyond vast calculations, perhaps this is less about numbers and more about us. Why do humans push at the limits of finitude at all? How do we represent the biggest numbers in existence? Why can’t our brains feel the difference between a million, a billion, and a trillion? And when do big numbers affect our ability to empathise with others? ------------------- For more information about Cancer Research UK, their research, breakthroughs and how you can support them, visit ⁠⁠https://cancerresearchuk.org/restisscience⁠⁠ Cancer Research UK is a registered charity in England and Wales (1089464), Scotland (SC041666), the Isle of Man (1103) and Jersey (247). A company limited by guarantee. Registered company in England and Wales (4325234) and the Isle of Man (5713F). Registered address: 2 Redman Place, London, E20 1JQ. ------------------- Find The Rest Is Science all over the internet by ⁠⁠clicking here.⁠⁠ ------------------- Video Producer: Adam Thornton + Oli Oakley Video & Social: Bex Tyrrell Assistant Producer: Imee Marriott Senior Producer: Lauren Armstrong-Carter Head Of Digital: Samuel Oakley Exec Producer: Neil Fearn Learn more about your ad choices. Visit podcastchoices.com/adchoices

Transcript

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0:00.0

Hello, welcome to The Rest of Science. I'm Hannah Frye.

0:03.0

And I am Michael Stevens. Today, we're going to play a game, Hannah and I.

0:07.0

Who can name the biggest number?

0:10.0

Infinity.

0:11.0

Infinity, not allowed.

0:12.0

Okay. Finite numbers only.

0:14.0

Finite numbers only, only a number that if you had enough time you could count to and be done, and then move on to something else. All right.

0:21.6

Well, I mean, that seems like quite simple rules.

0:24.6

No infinity.

0:26.6

No, infinity is too easy.

0:28.6

There are different sizes of infinity and we will cover them soon.

0:32.6

But what is almost more terrifying to me, to be honest, are just large, finite numbers.

0:38.4

Numbers that you could count to if you lived forever, you'd reach the end, but yet their

0:44.3

magnitude is beyond incomprehensible.

0:48.1

Hey, but first, let's address the jellyfish in the room.

0:50.7

Okay, go on.

0:51.7

What's the...

0:52.7

Is it a jellyfish on your plaster? Is that your daughter's

0:55.4

plaster? Yeah, it's the only band-aids I have. Like, I'm a grown man. I, actually, I shouldn't say

1:01.8

that. I don't know anything about grown men. I know about myself, and I don't use band-aids very often,

1:06.9

but yesterday, I walked into a tree branch. And that sounds fake, but the truth is that I was

1:14.1

just like walking across a parking lot. I thought, oh, I'll stay on the crosswalk. And I turned and went

...

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