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432141220031 = 2349937652803
BaseRepresentation
bin1100100100111011001…
…11111011100010111111
31112022102122221112001112
412102131213323202333
524040011123020111
6530304542032235
743135601522603
oct6223547734277
91468378845045
10432141220031
111572a74a8764
126b90327867b
133199b4c4231
1416cb6b47503
15b3934cce8b
hex649d9fb8bf

432141220031 has 8 divisors (see below), whose sum is σ = 451833648000. Its totient is φ = 412524098712.

The previous prime is 432141219997. The next prime is 432141220057. The reversal of 432141220031 is 130022141234.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 432141220031 - 26 = 432141219967 is a prime.

It is a super-2 number, since 2×4321412200312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 432141219979 and 432141220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432141220631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18814925 + ... + 18837878.

It is an arithmetic number, because the mean of its divisors is an integer number (56479206000).

Almost surely, 2432141220031 is an apocalyptic number.

432141220031 is a deficient number, since it is larger than the sum of its proper divisors (19692427969).

432141220031 is a wasteful number, since it uses less digits than its factorization.

432141220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37653325.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 432141220031 its reverse (130022141234), we get a palindrome (562163361265).

The spelling of 432141220031 in words is "four hundred thirty-two billion, one hundred forty-one million, two hundred twenty thousand, thirty-one".

Divisors: 1 23 499 11477 37652803 866014469 18788748697 432141220031