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1434330334341 = 325326311433391
BaseRepresentation
bin10100110111110100110…
…000000000010010000101
312002010020221120110211100
4110313310300000102011
5142000002031144331
63014531112530313
7205425020452242
oct24676460002205
95063227513740
101434330334341
11503329098633
121b1b963b0999
13a534517c688
144d5c9bd65c9
152749c010ae6
hex14df4c00485

1434330334341 has 24 divisors (see below), whose sum is σ = 2118927672576. Its totient is φ = 934611032160.

The previous prime is 1434330334309. The next prime is 1434330334343.

1434330334341 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 3 + 303 + 3 + 4 + 341 = 666.

1434330334341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1434330334341 - 25 = 1434330334309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1434330334296 and 1434330334305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434330334343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5591245 + ... + 5842146.

It is an arithmetic number, because the mean of its divisors is an integer number (88288653024).

Almost surely, 21434330334341 is an apocalyptic number.

It is an amenable number.

1434330334341 is a deficient number, since it is larger than the sum of its proper divisors (684597338235).

1434330334341 is a wasteful number, since it uses less digits than its factorization.

1434330334341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11433713 (or 11433710 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 1434330 and 334341, that added together give a palindrome (1768671).

The spelling of 1434330334341 in words is "one trillion, four hundred thirty-four billion, three hundred thirty million, three hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 3 9 53 159 263 477 789 2367 13939 41817 125451 11433391 34300173 102900519 605969723 1817909169 3006981833 5453727507 9020945499 27062836497 159370037149 478110111447 1434330334341