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344443344443 = 111011731819901
BaseRepresentation
bin1010000001100100110…
…11000101011000111011
31012221001211220211221022
411000302123011120323
521120404444010233
6422122440133055
733612425056202
oct5006233053073
91187054824838
10344443344443
11123094319830
125690946718b
132663360c063
14129578ac239
158e5e2e2398
hex50326c563b

344443344443 has 32 divisors (see below), whose sum is σ = 383817680064. Its totient is φ = 306504000000.

The previous prime is 344443344419. The next prime is 344443344457.

344443344443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344443344443 - 26 = 344443344379 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344443344394 and 344443344403.

It is not an unprimeable number, because it can be changed into a prime (344443344403) 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, 34783793 + ... + 34793693.

It is an arithmetic number, because the mean of its divisors is an integer number (11994302502).

Almost surely, 2344443344443 is an apocalyptic number.

344443344443 is a deficient number, since it is larger than the sum of its proper divisors (39374335621).

344443344443 is a wasteful number, since it uses less digits than its factorization.

344443344443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10367.

The product of its digits is 5308416, while the sum is 44.

It can be divided in two parts, 344443 and 344443, that added together give a palindrome (688886).

The spelling of 344443344443 in words is "three hundred forty-four billion, four hundred forty-three million, three hundred forty-four thousand, four hundred forty-three".

Divisors: 1 11 101 173 181 1111 1903 1991 9901 17473 18281 31313 108911 192203 201091 344443 1000001 1712873 1792081 3162613 11000011 18841603 19712891 34788743 173000173 181000181 310030013 1903001903 1991001991 3410330143 31313031313 344443344443