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342249570441 = 32172114712
BaseRepresentation
bin1001111101011111010…
…10100000000010001001
31012201101221221120202100
410332233222200002021
521101411342223231
6421121032024013
733504156230502
oct4765752400211
91181357846670
10342249570441
11122168a61969
12563b6832009
1326373c7a52c
14127ca3b1ba9
158d819051e6
hex4fafaa0089

342249570441 has 27 divisors (see below), whose sum is σ = 525196894183. Its totient is φ = 214726107840.

The previous prime is 342249570431. The next prime is 342249570479. The reversal of 342249570441 is 144075942243.

The square root of 342249570441 is 585021.

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

342249570441 is a `hidden beast` number, since 34 + 2 + 2 + 4 + 9 + 570 + 4 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 266457278025 + 75792292416 = 516195^2 + 275304^2 .

It is not a de Polignac number, because 342249570441 - 25 = 342249570409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342249570431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29830336 + ... + 29841806.

Almost surely, 2342249570441 is an apocalyptic number.

342249570441 is the 585021-st square number.

342249570441 is the 292511-st centered octagonal number.

It is an amenable number.

342249570441 is a deficient number, since it is larger than the sum of its proper divisors (182947323742).

342249570441 is an frugal number, since it uses more digits than its factorization.

342249570441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22982 (or 11491 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 342249570441 in words is "three hundred forty-two billion, two hundred forty-nine million, five hundred seventy thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 11471 34413 103239 195007 585021 1755063 3315119 9945357 29836071 131583841 394751523 1184254569 2236925297 6710775891 20132327673 38027730049 114083190147 342249570441