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342344121399 = 32733716124729
BaseRepresentation
bin1001111101101010100…
…11001011110000110111
31012201122112212021021200
410332311103023300313
521102110043341044
6421134250343543
733506415006330
oct4766523136067
91181575767250
10342344121399
11122207371455
125642242abb3
132638a733a47
14127d8b85287
158d89d80369
hex4fb54cbc37

342344121399 has 24 divisors (see below), whose sum is σ = 566816508960. Its totient is φ = 195044709888.

The previous prime is 342344121367. The next prime is 342344121463. The reversal of 342344121399 is 993121443243.

342344121399 is a `hidden beast` number, since 3 + 4 + 2 + 344 + 1 + 213 + 99 = 666.

It is not a de Polignac number, because 342344121399 - 25 = 342344121367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342344121319) 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 23 ways as a sum of consecutive naturals, for example, 8041134 + ... + 8083595.

It is an arithmetic number, because the mean of its divisors is an integer number (23617354540).

Almost surely, 2342344121399 is an apocalyptic number.

342344121399 is a deficient number, since it is larger than the sum of its proper divisors (224472387561).

342344121399 is a wasteful number, since it uses less digits than its factorization.

342344121399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125079 (or 16125076 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 342344121399 in words is "three hundred forty-two billion, three hundred forty-four million, one hundred twenty-one thousand, three hundred ninety-nine".

Divisors: 1 3 7 9 21 63 337 1011 2359 3033 7077 21231 16124729 48374187 112873103 145122561 338619309 1015857927 5434033673 16302101019 38038235711 48906303057 114114707133 342344121399