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344212000212443 = 11217184439073193
BaseRepresentation
bin100111001000011110001101…
…0000000000000010111011011
31200010202100100010100221100212
41032100330122000000113123
5330104032134023244233
63220024450534521335
7132334332150604106
oct11620743200002733
91603670303327325
10344212000212443
119a749542593600
123273271250624b
1311a0b08acc459c
1460ddd41da773d
1529bdb2626da48
hex1390f1a0005db

344212000212443 has 24 divisors (see below), whose sum is σ = 400626300385584. Its totient is φ = 294496940080640.

The previous prime is 344212000212413. The next prime is 344212000212463.

It is a happy number.

344212000212443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344212000212443 - 216 = 344212000146907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344212000212413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33400655 + ... + 42473847.

It is an arithmetic number, because the mean of its divisors is an integer number (16692762516066).

Almost surely, 2344212000212443 is an apocalyptic number.

344212000212443 is a deficient number, since it is larger than the sum of its proper divisors (56414300173141).

344212000212443 is a wasteful number, since it uses less digits than its factorization.

344212000212443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091675 (or 9091664 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 344212000 and 212443, that added together give a palindrome (344424443).

The spelling of 344212000212443 in words is "three hundred forty-four trillion, two hundred twelve billion, two hundred twelve thousand, four hundred forty-three".

Divisors: 1 11 17 121 187 2057 18443 202873 313531 2231603 3448841 9073193 37937251 99805123 154244281 1097856353 1696687091 18663558001 167336898499 1840705883489 2844727274483 20247764718379 31292000019313 344212000212443