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34468405141 is a prime number
BaseRepresentation
bin100000000110011110…
…100001111110010101
310021222011101101212211
4200012132201332111
51031042402431031
623500133313421
72330105416042
oct400636417625
9107864341784
1034468405141
1113688574a45
12681b495871
133334058a01
14194da8c1c9
15d6b075bb1
hex8067a1f95

34468405141 has 2 divisors, whose sum is σ = 34468405142. Its totient is φ = 34468405140.

The previous prime is 34468405123. The next prime is 34468405159. The reversal of 34468405141 is 14150486443.

It is a balanced prime because it is at equal distance from previous prime (34468405123) and next prime (34468405159).

It can be written as a sum of positive squares in only one way, i.e., 19058906916 + 15409498225 = 138054^2 + 124135^2 .

It is a cyclic number.

It is not a de Polignac number, because 34468405141 - 29 = 34468404629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34468405094 and 34468405103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34468405121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17234202570 + 17234202571.

It is an arithmetic number, because the mean of its divisors is an integer number (17234202571).

Almost surely, 234468405141 is an apocalyptic number.

It is an amenable number.

34468405141 is a deficient number, since it is larger than the sum of its proper divisors (1).

34468405141 is an equidigital number, since it uses as much as digits as its factorization.

34468405141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 34468405141 in words is "thirty-four billion, four hundred sixty-eight million, four hundred five thousand, one hundred forty-one".