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2432042431 = 72133817963
BaseRepresentation
bin1001000011110110…
…0000010110111111
320021111022120000121
42100331200112333
514440100324211
61041155035411
7114161006500
oct22075402677
96244276017
102432042431
111038908525
1257a59bb67
132c9b27480
14191000ba7
15e37a5271
hex90f605bf

2432042431 has 12 divisors (see below), whose sum is σ = 3046735272. Its totient is φ = 1924252848.

The previous prime is 2432042419. The next prime is 2432042441. The reversal of 2432042431 is 1342402342.

It is a happy number.

It is not a de Polignac number, because 2432042431 - 223 = 2423653823 is a prime.

It is a super-2 number, since 2×24320424312 = 11829660772368779522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2432042396 and 2432042405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432042441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1908345 + ... + 1909618.

It is an arithmetic number, because the mean of its divisors is an integer number (253894606).

Almost surely, 22432042431 is an apocalyptic number.

2432042431 is a deficient number, since it is larger than the sum of its proper divisors (614692841).

2432042431 is a wasteful number, since it uses less digits than its factorization.

2432042431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817990 (or 3817983 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2432042431 is about 49315.7422229454. The cubic root of 2432042431 is about 1344.7979835063.

Adding to 2432042431 its reverse (1342402342), we get a palindrome (3774444773).

The spelling of 2432042431 in words is "two billion, four hundred thirty-two million, forty-two thousand, four hundred thirty-one".

Divisors: 1 7 13 49 91 637 3817963 26725741 49633519 187080187 347434633 2432042431