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34120014329 is a prime number
BaseRepresentation
bin11111110001101101…
…100001100111111001
310021001212211022112102
4133301231201213321
51024334210424304
623401410153145
72315345223302
oct376155414771
9107055738472
1034120014329
1113519949855
1267428827b5
1332a9b170bb
1419196bd7a9
15d4a6a8d1e
hex7f1b619f9

34120014329 has 2 divisors, whose sum is σ = 34120014330. Its totient is φ = 34120014328.

The previous prime is 34120014307. The next prime is 34120014349. The reversal of 34120014329 is 92341002143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33900174400 + 219839929 = 184120^2 + 14827^2 .

It is a cyclic number.

It is not a de Polignac number, because 34120014329 - 232 = 29825047033 is a prime.

It is a super-2 number, since 2×341200143292 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34120014349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17060007164 + 17060007165.

It is an arithmetic number, because the mean of its divisors is an integer number (17060007165).

Almost surely, 234120014329 is an apocalyptic number.

It is an amenable number.

34120014329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34120014329 is an equidigital number, since it uses as much as digits as its factorization.

34120014329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 34120014329 in words is "thirty-four billion, one hundred twenty million, fourteen thousand, three hundred twenty-nine".