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432342240040 = 23510808556001
BaseRepresentation
bin1100100101010011001…
…10110000101100101000
31112022221200012101200001
412102221212300230220
524040414103140130
6530340522352344
743143562256014
oct6225146605450
91468850171601
10432342240040
1115739aa17aa7
126b95a65b6b4
1331a01047899
1416cd5713544
15b3a5e896ca
hex64a99b0b28

432342240040 has 16 divisors (see below), whose sum is σ = 972770040180. Its totient is φ = 172936896000.

The previous prime is 432342240019. The next prime is 432342240049. The reversal of 432342240040 is 40042243234.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 363529408356 + 68812831684 = 602934^2 + 262322^2 .

It is a junction number, because it is equal to n+sod(n) for n = 432342239990 and 432342240008.

It is not an unprimeable number, because it can be changed into a prime (432342240049) 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 3 ways as a sum of consecutive naturals, for example, 5404277961 + ... + 5404278040.

Almost surely, 2432342240040 is an apocalyptic number.

432342240040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432342240040 is an abundant number, since it is smaller than the sum of its proper divisors (540427800140).

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

432342240040 is a wasteful number, since it uses less digits than its factorization.

432342240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10808556012 (or 10808556008 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 432342240040 its reverse (40042243234), we get a palindrome (472384483274).

The spelling of 432342240040 in words is "four hundred thirty-two billion, three hundred forty-two million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 10808556001 21617112002 43234224004 54042780005 86468448008 108085560010 216171120020 432342240040