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34135686841 is a prime number
BaseRepresentation
bin11111110010101001…
…010011111010111001
310021002222022120011211
4133302221103322321
51024402213434331
623403130123121
72315625356614
oct376251237271
9107088276154
1034135686841
1113527783843
126747b804a1
1332b0143889
14191b7dd17b
15d4bc528b1
hex7f2a53eb9

34135686841 has 2 divisors, whose sum is σ = 34135686842. Its totient is φ = 34135686840.

The previous prime is 34135686751. The next prime is 34135686863. The reversal of 34135686841 is 14868653143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32768240400 + 1367446441 = 181020^2 + 36979^2 .

It is a cyclic number.

It is not a de Polignac number, because 34135686841 - 219 = 34135162553 is a prime.

It is a super-2 number, since 2×341356868412 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34135686041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067843420 + 17067843421.

It is an arithmetic number, because the mean of its divisors is an integer number (17067843421).

Almost surely, 234135686841 is an apocalyptic number.

It is an amenable number.

34135686841 is a deficient number, since it is larger than the sum of its proper divisors (1).

34135686841 is an equidigital number, since it uses as much as digits as its factorization.

34135686841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1658880, while the sum is 49.

The spelling of 34135686841 in words is "thirty-four billion, one hundred thirty-five million, six hundred eighty-six thousand, eight hundred forty-one".