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344121121443 = 311291583227153
BaseRepresentation
bin1010000000111110011…
…01111001101010100011
31012220020101121020002010
411000133031321222203
521114230001341233
6422030445524003
733601433161431
oct5003715715243
91186211536063
10344121121443
11122a39446930
1256839573603
13265b1930068
1412926b91d51
158e40d93b63
hex501f379aa3

344121121443 has 32 divisors (see below), whose sum is σ = 518129187840. Its totient is φ = 201238499840.

The previous prime is 344121121427. The next prime is 344121121537.

It is a happy number.

344121121443 is nontrivially palindromic in base 10.

344121121443 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 344121121443 - 24 = 344121121427 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344121121443.

It is not an unprimeable number, because it can be changed into a prime (344121121543) 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, 1401355 + ... + 1628507.

It is an arithmetic number, because the mean of its divisors is an integer number (16191537120).

Almost surely, 2344121121443 is an apocalyptic number.

344121121443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344121121443 is a deficient number, since it is larger than the sum of its proper divisors (174008066397).

344121121443 is a wasteful number, since it uses less digits than its factorization.

344121121443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228779.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 344121 and 121443, that added together give a palindrome (465564).

The spelling of 344121121443 in words is "three hundred forty-four billion, one hundred twenty-one million, one hundred twenty-one thousand, four hundred forty-three".

Divisors: 1 3 11 29 33 87 319 957 1583 4749 17413 45907 52239 137721 227153 504977 681459 1514931 2498683 6587437 7496049 19762311 72461807 217385421 359583199 1078749597 3955415189 10427912771 11866245567 31283738313 114707040481 344121121443