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431000041004031 = 3478730011840471
BaseRepresentation
bin110000111111111100000010…
…0010101111001101111111111
32002112001012102220112112001210
41201333320010111321233333
5422443001040444112111
64124354404015335503
7156532503542530062
oct14177700425715777
92075035386475053
10431000041004031
1111536a0aaaa9574
124040a841821593
131566518b5b1375
1478607286728d9
1534c647806d0a6
hex187fe04579bff

431000041004031 has 8 divisors (see below), whose sum is σ = 574786768719744. Its totient is φ = 287273336978840.

The previous prime is 431000041003957. The next prime is 431000041004069. The reversal of 431000041004031 is 130400140000134.

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 431000041004031 - 214 = 431000040987647 is a prime.

It is a super-2 number, since 2×4310000410040312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431000041003989 and 431000041004007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431000041004081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15005905875 + ... + 15005934596.

It is an arithmetic number, because the mean of its divisors is an integer number (71848346089968).

Almost surely, 2431000041004031 is an apocalyptic number.

431000041004031 is a deficient number, since it is larger than the sum of its proper divisors (143786727715713).

431000041004031 is a wasteful number, since it uses less digits than its factorization.

431000041004031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30011845261.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 431000041004031 its reverse (130400140000134), we get a palindrome (561400181004165).

The spelling of 431000041004031 in words is "four hundred thirty-one trillion, forty-one million, four thousand, thirty-one".

Divisors: 1 3 4787 14361 30011840471 90035521413 143666680334677 431000041004031