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34628890141 is a prime number
BaseRepresentation
bin100000010000000010…
…101110111000011101
310022101100100212220201
4200100002232320131
51031404443441031
623524105143501
72334064465246
oct402002567035
9108340325821
1034628890141
111376011877a
12686518ab91
13335b389151
141967105ccd
15d7a1c6d61
hex8100aee1d

34628890141 has 2 divisors, whose sum is σ = 34628890142. Its totient is φ = 34628890140.

The previous prime is 34628890081. The next prime is 34628890171. The reversal of 34628890141 is 14109882643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33332170041 + 1296720100 = 182571^2 + 36010^2 .

It is a cyclic number.

It is not a de Polignac number, because 34628890141 - 27 = 34628890013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34628890091 and 34628890100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34628890171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17314445070 + 17314445071.

It is an arithmetic number, because the mean of its divisors is an integer number (17314445071).

Almost surely, 234628890141 is an apocalyptic number.

It is an amenable number.

34628890141 is a deficient number, since it is larger than the sum of its proper divisors (1).

34628890141 is an equidigital number, since it uses as much as digits as its factorization.

34628890141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 34628890141 in words is "thirty-four billion, six hundred twenty-eight million, eight hundred ninety thousand, one hundred forty-one".