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232334142444 = 223210163898279
BaseRepresentation
bin1101100001100000110…
…0011010101111101100
3211012200202200022100200
43120120030122233230
512301310020024234
6254422142553500
722533312424605
oct3303014325754
9735622608320
10232334142444
118a594625a78
1239040298890
1318ba8151a41
14b360524dac
15609be65d99
hex361831abec

232334142444 has 36 divisors (see below), whose sum is σ = 593103834960. Its totient is φ = 76677933600.

The previous prime is 232334142433. The next prime is 232334142451. The reversal of 232334142444 is 444241433232.

232334142444 is a `hidden beast` number, since 2 + 3 + 233 + 414 + 2 + 4 + 4 + 4 = 666.

232334142444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 232334142399 and 232334142408.

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 11 ways as a sum of consecutive naturals, for example, 31945504 + ... + 31952775.

Almost surely, 2232334142444 is an apocalyptic number.

It is an amenable number.

232334142444 is an abundant number, since it is smaller than the sum of its proper divisors (360769692516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232334142444 is a wasteful number, since it uses less digits than its factorization.

232334142444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63898390 (or 63898385 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 232334142444 its reverse (444241433232), we get a palindrome (676575575676).

The spelling of 232334142444 in words is "two hundred thirty-two billion, three hundred thirty-four million, one hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 63898279 127796558 191694837 255593116 383389674 575084511 766779348 1150169022 2300338044 6453726179 12907452358 19361178537 25814904716 38722357074 58083535611 77444714148 116167071222 232334142444