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342095142321 = 321949632
BaseRepresentation
bin1001111101001100111…
…01011001110110110001
31012201000012100211012100
410332212131121312301
521101102324023241
6421053434051013
733500302505652
oct4764635316661
91181005324170
10342095142321
11122099875819
1256372b79a69
132634ac8ac4a
14127b3a93529
158d7309d9b6
hex4fa6759db1

342095142321 has 9 divisors (see below), whose sum is σ = 494139962329. Its totient is φ = 228062258436.

The previous prime is 342095142287. The next prime is 342095142377. The reversal of 342095142321 is 123241590243.

The square root of 342095142321 is 584889.

It is a perfect power (a square), and thus also a powerful number.

342095142321 is a `hidden beast` number, since 3 + 4 + 209 + 5 + 1 + 423 + 21 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 342095142321 - 29 = 342095141809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342095142421) 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 8 ways as a sum of consecutive naturals, for example, 1657186 + ... + 1852148.

Almost surely, 2342095142321 is an apocalyptic number.

342095142321 is the 584889-th square number.

342095142321 is the 292445-th centered octagonal number.

It is an amenable number.

342095142321 is a deficient number, since it is larger than the sum of its proper divisors (152044820008).

342095142321 is an frugal number, since it uses more digits than its factorization.

342095142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389932 (or 194966 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 342095142321 by its sum of digits (36), we get a square (12315425123556 = 35093342).

It can be divided in two parts, 342095 and 142321, that added together give a square (484416 = 6962).

The spelling of 342095142321 in words is "three hundred forty-two billion, ninety-five million, one hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 194963 584889 1754667 38010571369 114031714107 342095142321