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3444312134443 = 227347128933923
BaseRepresentation
bin110010000111110001000…
…000000101001100101011
3110012021101000221022100111
4302013301000011030223
5422412422401300233
611154143430315151
7503562160041325
oct62076100051453
913167330838314
103444312134443
1111087a7452594
124776451b8ab7
131bca496cb22b
14bc9c422c615
155e8db4a3acd
hex321f100532b

3444312134443 has 16 divisors (see below), whose sum is σ = 3472248954240. Its totient is φ = 3416503349056.

The previous prime is 3444312134413. The next prime is 3444312134447.

3444312134443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3444312134443 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3444312134396 and 3444312134405.

It is not an unprimeable number, because it can be changed into a prime (3444312134447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101516280 + ... + 101550202.

It is an arithmetic number, because the mean of its divisors is an integer number (217015559640).

Almost surely, 23444312134443 is an apocalyptic number.

3444312134443 is a deficient number, since it is larger than the sum of its proper divisors (27936819797).

3444312134443 is a wasteful number, since it uses less digits than its factorization.

3444312134443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35786.

The product of its digits is 663552, while the sum is 40.

The spelling of 3444312134443 in words is "three trillion, four hundred forty-four billion, three hundred twelve million, one hundred thirty-four thousand, four hundred forty-three".

Divisors: 1 227 347 1289 33923 78769 292603 447283 7700521 11771281 43726747 101533241 2672080787 9925971569 15173181209 3444312134443