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41214311167 is a prime number
BaseRepresentation
bin100110011000100100…
…000111101011111111
310221101021222221021011
4212120210013223333
51133401330424132
630533353420051
72656220602411
oct463044075377
9127337887234
1041214311167
111652a449a97
127ba270a627
133b6a817993
141dcd9849b1
1511133ecb47
hex998907aff

41214311167 has 2 divisors, whose sum is σ = 41214311168. Its totient is φ = 41214311166.

The previous prime is 41214311123. The next prime is 41214311239. The reversal of 41214311167 is 76111341214.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41214311167 is a prime.

It is a super-3 number, since 3×412143111673 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41214315167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20607155583 + 20607155584.

It is an arithmetic number, because the mean of its divisors is an integer number (20607155584).

Almost surely, 241214311167 is an apocalyptic number.

41214311167 is a deficient number, since it is larger than the sum of its proper divisors (1).

41214311167 is an equidigital number, since it uses as much as digits as its factorization.

41214311167 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 31.

The spelling of 41214311167 in words is "forty-one billion, two hundred fourteen million, three hundred eleven thousand, one hundred sixty-seven".