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3420314646041 is a prime number
BaseRepresentation
bin110001110001011010101…
…000111011011000011001
3110002222102121102120220202
4301301122220323120121
5422014301022133131
611135134301031545
7502052404541306
oct61613250733031
913088377376822
103420314646041
1110a96024a5347
12472a685555b5
131ba6c3aa1157
14bb7890880ad
155de8480bbcb
hex31c5aa3b619

3420314646041 has 2 divisors, whose sum is σ = 3420314646042. Its totient is φ = 3420314646040.

The previous prime is 3420314646031. The next prime is 3420314646109. The reversal of 3420314646041 is 1406464130243.

3420314646041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3409709971600 + 10604674441 = 1846540^2 + 102979^2 .

It is a cyclic number.

It is not a de Polignac number, because 3420314646041 - 210 = 3420314645017 is a prime.

It is a super-2 number, since 2×34203146460412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3420314645986 and 3420314646004.

It is not a weakly prime, because it can be changed into another prime (3420314646031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1710157323020 + 1710157323021.

It is an arithmetic number, because the mean of its divisors is an integer number (1710157323021).

Almost surely, 23420314646041 is an apocalyptic number.

It is an amenable number.

3420314646041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3420314646041 is an equidigital number, since it uses as much as digits as its factorization.

3420314646041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 38.

Adding to 3420314646041 its reverse (1406464130243), we get a palindrome (4826778776284).

The spelling of 3420314646041 in words is "three trillion, four hundred twenty billion, three hundred fourteen million, six hundred forty-six thousand, forty-one".