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344314040413443 = 33715373732017681
BaseRepresentation
bin100111001001001101101110…
…0000100011110110100000011
31200011010002201111000020020120
41032102123130010132310003
5330112220123321212233
63220143404142311323
7132344603620160352
oct11622333404366403
91604102644006216
10344314040413443
119a788845623931
123274a44b588543
1311a178a03b5549
146104c61d89999
1529c15e965c4b3
hex13926dc11ed03

344314040413443 has 16 divisors (see below), whose sum is σ = 471493640754336. Its totient is φ = 223338581061120.

The previous prime is 344314040413417. The next prime is 344314040413451.

344314040413443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344314040413443 - 238 = 344039162506499 is a prime.

It is a super-2 number, since 2×3443140404134432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344314040413395 and 344314040413404.

It is not an unprimeable number, because it can be changed into a prime (344314040413403) 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 15 ways as a sum of consecutive naturals, for example, 169639563 + ... + 171657243.

It is an arithmetic number, because the mean of its divisors is an integer number (29468352547146).

Almost surely, 2344314040413443 is an apocalyptic number.

344314040413443 is a deficient number, since it is larger than the sum of its proper divisors (127179600340893).

344314040413443 is a wasteful number, since it uses less digits than its factorization.

344314040413443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555094.

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 344314040413443 in words is "three hundred forty-four trillion, three hundred fourteen billion, forty million, four hundred thirteen thousand, four hundred forty-three".

Divisors: 1 3 37 111 1537373 2017681 4612119 6053043 56882801 74654197 170648403 223962591 3101928292013 9305784876039 114771346804481 344314040413443