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34440113177 is a prime number
BaseRepresentation
bin100000000100110010…
…100110110000011001
310021220012011000121022
4200010302212300121
51031013132110202
623453243052225
72326313063141
oct400462466031
9107805130538
1034440113177
1113673600858
126811b11075
13332b2312c2
14194a005921
15d68837ea2
hex804ca6c19

34440113177 has 2 divisors, whose sum is σ = 34440113178. Its totient is φ = 34440113176.

The previous prime is 34440113173. The next prime is 34440113233. The reversal of 34440113177 is 77131104443.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33641429056 + 798684121 = 183416^2 + 28261^2 .

It is an emirp because it is prime and its reverse (77131104443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34440113177 - 22 = 34440113173 is a prime.

It is a super-2 number, since 2×344401131772 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34440113173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17220056588 + 17220056589.

It is an arithmetic number, because the mean of its divisors is an integer number (17220056589).

Almost surely, 234440113177 is an apocalyptic number.

It is an amenable number.

34440113177 is a deficient number, since it is larger than the sum of its proper divisors (1).

34440113177 is an equidigital number, since it uses as much as digits as its factorization.

34440113177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 34440113177 in words is "thirty-four billion, four hundred forty million, one hundred thirteen thousand, one hundred seventy-seven".