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344423686324443 = 31123725643934653
BaseRepresentation
bin100111001010000000110001…
…1011110011100000011011011
31200011111120201220010121211020
41032110001203132130003123
5330121014202144340233
63220310020202533523
7132355535012063355
oct11624014336340333
91604446656117736
10344423686324443
119a8202a0906700
123276774b8072a3
1311a2502542701b
14610a2a411a0d5
1529c43b560e9b3
hex139406379c0db

344423686324443 has 24 divisors (see below), whose sum is σ = 518417782965264. Its totient is φ = 203099962443840.

The previous prime is 344423686324427. The next prime is 344423686324457.

344423686324443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344423686324443 - 24 = 344423686324427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344423686324043) 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 23 ways as a sum of consecutive naturals, for example, 12821953896 + ... + 12821980757.

It is an arithmetic number, because the mean of its divisors is an integer number (21600740956886).

Almost surely, 2344423686324443 is an apocalyptic number.

344423686324443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344423686324443 is a deficient number, since it is larger than the sum of its proper divisors (173994096640821).

344423686324443 is a wasteful number, since it uses less digits than its factorization.

344423686324443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25643934715 (or 25643934704 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 60.

The spelling of 344423686324443 in words is "three hundred forty-four trillion, four hundred twenty-three billion, six hundred eighty-six million, three hundred twenty-four thousand, four hundred forty-three".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 13431 25643934653 76931803959 282083281183 846249843549 948825582161 2846476746483 3102916093013 9308748279039 10437081403771 31311244211313 114807895441481 344423686324443