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34441506161 is a prime number
BaseRepresentation
bin100000000100110111…
…111010110101110001
310021220021202210102022
4200010313322311301
51031014011144121
623453333001225
72326330654256
oct400467726561
9107807683368
1034441506161
1113674372387
126812483215
13332b5cb35a
14194a28942d
15d68a10aab
hex804dfad71

34441506161 has 2 divisors, whose sum is σ = 34441506162. Its totient is φ = 34441506160.

The previous prime is 34441506109. The next prime is 34441506179. The reversal of 34441506161 is 16160514443.

34441506161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27612136561 + 6829369600 = 166169^2 + 82640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34441506161 is a prime.

It is not a weakly prime, because it can be changed into another prime (34441506461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17220753080 + 17220753081.

It is an arithmetic number, because the mean of its divisors is an integer number (17220753081).

Almost surely, 234441506161 is an apocalyptic number.

It is an amenable number.

34441506161 is a deficient number, since it is larger than the sum of its proper divisors (1).

34441506161 is an equidigital number, since it uses as much as digits as its factorization.

34441506161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 34441506161 in words is "thirty-four billion, four hundred forty-one million, five hundred six thousand, one hundred sixty-one".