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344332141233443 = 11227491035183767
BaseRepresentation
bin100111001001010110001001…
…0111101101000010100100011
31200011011211102221220011022022
41032102230102331220110203
5330113014211123432233
63220200000225532055
7132346114311461336
oct11622542275502443
91604154387804268
10344332141233443
119a795494007900
1232751a614a402b
1311a194c648591c
146105a9bd3c61d
1529c1d087cd398
hex1392b12f68523

344332141233443 has 12 divisors (see below), whose sum is σ = 378618463146000. Its totient is φ = 312915348786480.

The previous prime is 344332141233397. The next prime is 344332141233469.

344332141233443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344332141233443 - 212 = 344332141229347 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344332141233394 and 344332141233403.

It is not an unprimeable number, because it can be changed into a prime (344332141230443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517259255 + ... + 517924512.

It is an arithmetic number, because the mean of its divisors is an integer number (31551538595500).

Almost surely, 2344332141233443 is an apocalyptic number.

344332141233443 is a deficient number, since it is larger than the sum of its proper divisors (34286321912557).

344332141233443 is a wasteful number, since it uses less digits than its factorization.

344332141233443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035186538 (or 1035186527 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 44.

The spelling of 344332141233443 in words is "three hundred forty-four trillion, three hundred thirty-two billion, one hundred forty-one million, two hundred thirty-three thousand, four hundred forty-three".

Divisors: 1 11 121 2749 30239 332629 1035183767 11387021437 125257235807 2845720175483 31302921930313 344332141233443