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14346464341 = 11310778711
BaseRepresentation
bin11010101110001110…
…11010110001010101
31101000211101220022011
431113013122301111
5213340143324331
610331330304221
71015342635436
oct152707326125
941024356264
1014346464341
1160a2229000
122944728071
131478327971
149a150348d
1558e76e3b1
hex3571dac55

14346464341 has 8 divisors (see below), whose sum is σ = 15780034368. Its totient is φ = 13042239100.

The previous prime is 14346464317. The next prime is 14346464369.

14346464341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14346464341 - 211 = 14346462293 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14346464294 and 14346464303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14346461341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5388025 + ... + 5390686.

It is an arithmetic number, because the mean of its divisors is an integer number (1972504296).

Almost surely, 214346464341 is an apocalyptic number.

14346464341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14346464341 is a deficient number, since it is larger than the sum of its proper divisors (1433570027).

14346464341 is an equidigital number, since it uses as much as digits as its factorization.

14346464341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778744 (or 10778722 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 14346464341 in words is "fourteen billion, three hundred forty-six million, four hundred sixty-four thousand, three hundred forty-one".

Divisors: 1 11 121 1331 10778711 118565821 1304224031 14346464341