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13740331417 is a prime number
BaseRepresentation
bin11001100101111110…
…01101000110011001
31022110120212011020121
430302333031012121
5211120011101132
610151234553241
7664332614161
oct146277150631
938416764217
1013740331417
1159110713aa
1227b5738821
1313ac892727
14944c015a1
1555643e497
hex332fcd199

13740331417 has 2 divisors, whose sum is σ = 13740331418. Its totient is φ = 13740331416.

The previous prime is 13740331393. The next prime is 13740331427. The reversal of 13740331417 is 71413304731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12352321881 + 1388009536 = 111141^2 + 37256^2 .

It is a cyclic number.

It is not a de Polignac number, because 13740331417 - 219 = 13739807129 is a prime.

It is not a weakly prime, because it can be changed into another prime (13740331427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6870165708 + 6870165709.

It is an arithmetic number, because the mean of its divisors is an integer number (6870165709).

Almost surely, 213740331417 is an apocalyptic number.

It is an amenable number.

13740331417 is a deficient number, since it is larger than the sum of its proper divisors (1).

13740331417 is an equidigital number, since it uses as much as digits as its factorization.

13740331417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 13740331417 in words is "thirteen billion, seven hundred forty million, three hundred thirty-one thousand, four hundred seventeen".