Numbers 41,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

41,000,00042,000,00043,000,00044,000,000

45,000,00046,000,00047,000,00048,000,00049,000,000

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41,486,481

[Math.]  Sum of the first 113 cube numbers:

13+23+…+1123+1133 = 41,486,481 = (1+2+…+112+113)2 = 64412.

41,654,408

[Math.]  A pair of amicable numbers (38783992, 41654408).

41,811,968

[Math.]  phi(83,623,935) = 41,811,968 and 41,811,968×2 = 83,623,935+1.

phi(83,623,935×83,623,937) = 41,811,968×83,623,936 also divides the number (83,623,935×83,623,937+1) = 83,623,9362.

xy,abc,def

[Math.]  For any xy = 10 to 99, there are always six 6-digit numbers abc,edf such that the sum (xy+abc,def) is equal to one of 6 digit-rotations of 142,857 and the number xy,abc,def is a multiple of 142,857.

For any xy = 10 to 99, there are always twelve 6-digit numbers abc,edf such that the sum (xy+abc,def) is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number xy,abc,def is a multiple of 76,923.