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40411244011417 is a prime number
BaseRepresentation
bin10010011000000111110011…
…10110000001111110011001
312022002021111002002100021121
421030003321312001332121
520244044211431331132
6221540400314405241
711340421204341106
oct1114037166017631
9168067432070247
1040411244011417
11119703487a8694
124647b77a30821
1319719c15570a6
149d9cb3b09aad
154a12c8804497
hex24c0f9d81f99

40411244011417 has 2 divisors, whose sum is σ = 40411244011418. Its totient is φ = 40411244011416.

The previous prime is 40411244011381. The next prime is 40411244011471. The reversal of 40411244011417 is 71411044211404.

40411244011417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (40411244011471) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37412930125321 + 2998313886096 = 6116611^2 + 1731564^2 .

It is a cyclic number.

It is not a de Polignac number, because 40411244011417 - 223 = 40411235622809 is a prime.

It is not a weakly prime, because it can be changed into another prime (40411244012417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20205622005708 + 20205622005709.

It is an arithmetic number, because the mean of its divisors is an integer number (20205622005709).

Almost surely, 240411244011417 is an apocalyptic number.

It is an amenable number.

40411244011417 is a deficient number, since it is larger than the sum of its proper divisors (1).

40411244011417 is an equidigital number, since it uses as much as digits as its factorization.

40411244011417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14336, while the sum is 34.

The spelling of 40411244011417 in words is "forty trillion, four hundred eleven billion, two hundred forty-four million, eleven thousand, four hundred seventeen".