Search a number
-
+
342142114131 = 33102112411293
BaseRepresentation
bin1001111101010010100…
…00100101100101010011
31012201010110202020102000
410332221100211211103
521101201340123011
6421102232525043
733501412662006
oct4765120454523
91181113666360
10342142114131
111221133383a4
1256386850783
1326357925c0c
14127b9ddd53d
158d7727b356
hex4fa9425953

342142114131 has 16 divisors (see below), whose sum is σ = 507373698720. Its totient is φ = 227871321120.

The previous prime is 342142114117. The next prime is 342142114177. The reversal of 342142114131 is 131411241243.

It is a happy number.

342142114131 is a `hidden beast` number, since 34 + 2 + 1 + 4 + 211 + 413 + 1 = 666.

It is not a de Polignac number, because 342142114131 - 29 = 342142113619 is a prime.

It is a super-2 number, since 2×3421421141312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 342142114095 and 342142114104.

It is not an unprimeable number, because it can be changed into a prime (342142114331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6178080 + ... + 6233213.

It is an arithmetic number, because the mean of its divisors is an integer number (31710856170).

Almost surely, 2342142114131 is an apocalyptic number.

342142114131 is a deficient number, since it is larger than the sum of its proper divisors (165231584589).

342142114131 is a wasteful number, since it uses less digits than its factorization.

342142114131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412323 (or 12412317 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 342142114131 its reverse (131411241243), we get a palindrome (473553355374).

The spelling of 342142114131 in words is "three hundred forty-two billion, one hundred forty-two million, one hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 9 27 1021 3063 9189 27567 12411293 37233879 111701637 335104911 12671930153 38015790459 114047371377 342142114131