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344442040244443 = 29101937193364927
BaseRepresentation
bin100111001010001001010100…
…1011101000101100011011011
31200011120100010000021100211001
41032110102221131011203123
5330121314244300310233
63220322253331045431
7132360054565610251
oct11624225135054333
91604510100240731
10344442040244443
119a82805a150429
123276b212440877
1311a2698ba83b0b
14610b1259545d1
1529c4adbac827d
hex13944a97458db

344442040244443 has 32 divisors (see below), whose sum is σ = 360423218050560. Its totient is φ = 328745373465600.

The previous prime is 344442040244429. The next prime is 344442040244479.

344442040244443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344442040244443 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344442040244393 and 344442040244402.

It is not an unprimeable number, because it can be changed into a prime (344442040244543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5305033846 + ... + 5305098772.

It is an arithmetic number, because the mean of its divisors is an integer number (11263225564080).

Almost surely, 2344442040244443 is an apocalyptic number.

344442040244443 is a deficient number, since it is larger than the sum of its proper divisors (15981177806117).

344442040244443 is a wasteful number, since it uses less digits than its factorization.

344442040244443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67927.

The product of its (nonzero) digits is 9437184, while the sum is 46.

The spelling of 344442040244443 in words is "three hundred forty-four trillion, four hundred forty-two billion, forty million, two hundred forty-four thousand, four hundred forty-three".

Divisors: 1 29 101 937 1933 2929 27173 56057 64927 94637 195233 1811221 1882883 2744473 5661757 6557627 52525409 60836599 125503891 182933321 190171183 1764261371 3639612839 5305066309 6144496499 12675892991 117597145867 178190398471 367600896739 3410317230143 11877311732567 344442040244443