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344201102443 = 11194390742227
BaseRepresentation
bin1010000001000111111…
…11000000010001101011
31012220102222002200101101
411000203333000101223
521114410440234233
6422042424102231
733603424045252
oct5004377002153
91186388080341
10344201102443
11122a7a604830
1256860304977
13265c53848b3
1412933651799
158e47de1c7d
hex5023fc046b

344201102443 has 32 divisors (see below), whose sum is σ = 404902333440. Its totient is φ = 289221075360.

The previous prime is 344201102363. The next prime is 344201102447.

344201102443 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-344201102443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344201102447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8130096 + ... + 8172322.

It is an arithmetic number, because the mean of its divisors is an integer number (12653197920).

Almost surely, 2344201102443 is an apocalyptic number.

344201102443 is a deficient number, since it is larger than the sum of its proper divisors (60701230997).

344201102443 is a wasteful number, since it uses less digits than its factorization.

344201102443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43207.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 344201 and 102443, that added together give a palindrome (446644).

The spelling of 344201102443 in words is "three hundred forty-four billion, two hundred one million, one hundred two thousand, four hundred forty-three".

Divisors: 1 11 19 43 209 473 817 907 8987 9977 17233 39001 42227 189563 429011 464497 741019 802313 1815761 8151209 8825443 19973371 34499459 38299889 379494049 421298779 727697891 1646895227 8004676801 18115847497 31291009313 344201102443