Base | Representation |
---|---|
bin | 11111110010011011… |
… | …110010100010011000 |
3 | 10021002201122110220000 |
4 | 133302123302202120 |
5 | 1024400312022412 |
6 | 23402522133000 |
7 | 2315553264516 |
oct | 376233624230 |
9 | 107081573800 |
10 | 34132142232 |
11 | 13525782711 |
12 | 6746951160 |
13 | 32ac4a2386 |
14 | 191b1594b6 |
15 | d4b7a24dc |
hex | 7f26f2898 |
34132142232 has 120 divisors (see below), whose sum is σ = 99939918540. Its totient is φ = 10882602720.
The previous prime is 34132142221. The next prime is 34132142287. The reversal of 34132142232 is 23224123143.
34132142232 is a `hidden beast` number, since 3 + 413 + 2 + 14 + 2 + 232 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 34132142196 and 34132142205.
It is a congruent number.
It is an unprimeable number.
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 29 ways as a sum of consecutive naturals, for example, 293007 + ... + 392577.
Almost surely, 234132142232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34132142232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49969959270).
34132142232 is an abundant number, since it is smaller than the sum of its proper divisors (65807776308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34132142232 is a wasteful number, since it uses less digits than its factorization.
34132142232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 99635 (or 99599 counting only the distinct ones).
The product of its digits is 6912, while the sum is 27.
Adding to 34132142232 its reverse (23224123143), we get a palindrome (57356265375).
The spelling of 34132142232 in words is "thirty-four billion, one hundred thirty-two million, one hundred forty-two thousand, two hundred thirty-two".
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