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Here are the largest solutions that were sent in.
Matthew from South Farnham School:
Josh from Alameda School:
Greenford School, Dorset sent in 8 796 093 022 208, which is 2 to the power of 43.
Charlotte, Agnes, Susannah and Miranda from Headington Junior School offered 109 418 000 000 000 000 000, which is about 3 to the power 42.
In fact the exact value of 342 is 109 418 989 131 512 359 209 can you say it aloud easily?