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432040404132 = 223212001122337
BaseRepresentation
bin1100100100101111001…
…11010110010010100100
31112022011122020112122100
412102113213112102210
524034304320413012
6530250541132100
743133235561651
oct6222747262244
91468148215570
10432040404132
111572555aa237
126b89555a030
133198365625c
1416ca75c2c28
15b3897168dc
hex64979d64a4

432040404132 has 18 divisors (see below), whose sum is σ = 1092102132758. Its totient is φ = 144013468032.

The previous prime is 432040404121. The next prime is 432040404143. The reversal of 432040404132 is 231404040234.

It is a happy number.

432040404132 is a `hidden beast` number, since 4 + 3 + 204 + 0 + 40 + 413 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (432040404121) and next prime (432040404143).

It can be written as a sum of positive squares in only one way, i.e., 380449641636 + 51590762496 = 616806^2 + 227136^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 432040404096 and 432040404105.

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 5 ways as a sum of consecutive naturals, for example, 6000561133 + ... + 6000561204.

Almost surely, 2432040404132 is an apocalyptic number.

It is an amenable number.

432040404132 is an abundant number, since it is smaller than the sum of its proper divisors (660061728626).

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

432040404132 is a wasteful number, since it uses less digits than its factorization.

432040404132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12001122347 (or 12001122342 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 432040404132 its reverse (231404040234), we get a palindrome (663444444366).

The spelling of 432040404132 in words is "four hundred thirty-two billion, forty million, four hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 12001122337 24002244674 36003367011 48004489348 72006734022 108010101033 144013468044 216020202066 432040404132