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34643012441 is a prime number
BaseRepresentation
bin100000010000111000…
…100110101101011001
310022102022221101001212
4200100320212231121
51031422102344231
623525331552505
72334325514162
oct402070465531
9108368841055
1034643012441
1113768093aa4
126869a5b735
13336129213b
141968d40769
15d7b56642b
hex810e26b59

34643012441 has 2 divisors, whose sum is σ = 34643012442. Its totient is φ = 34643012440.

The previous prime is 34643012431. The next prime is 34643012449. The reversal of 34643012441 is 14421034643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17950372441 + 16692640000 = 133979^2 + 129200^2 .

It is an emirp because it is prime and its reverse (14421034643) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34643012441 - 214 = 34642996057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34643012398 and 34643012407.

It is not a weakly prime, because it can be changed into another prime (34643012449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17321506220 + 17321506221.

It is an arithmetic number, because the mean of its divisors is an integer number (17321506221).

Almost surely, 234643012441 is an apocalyptic number.

It is an amenable number.

34643012441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34643012441 is an equidigital number, since it uses as much as digits as its factorization.

34643012441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 34643012441 in words is "thirty-four billion, six hundred forty-three million, twelve thousand, four hundred forty-one".