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504241300431 = 321131164301499
BaseRepresentation
bin1110101011001110001…
…11111010001111001111
31210012112102222002122200
413111213013322033033
531230141233103211
61023351213012543
751300366222621
oct7254707721717
91705472862580
10504241300431
11184936083270
1281885484153
133871ba571bb
141a59662ac11
15d1b316eb56
hex75671fa3cf

504241300431 has 24 divisors (see below), whose sum is σ = 820193088000. Its totient is φ = 295742696400.

The previous prime is 504241300427. The next prime is 504241300441. The reversal of 504241300431 is 134003142405.

It is a happy number.

504241300431 is a `hidden beast` number, since 504 + 24 + 130 + 0 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 504241300431 - 22 = 504241300427 is a prime.

It is a super-2 number, since 2×5042413004312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 504241300395 and 504241300404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504241300441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82147681 + ... + 82153818.

It is an arithmetic number, because the mean of its divisors is an integer number (34174712000).

Almost surely, 2504241300431 is an apocalyptic number.

504241300431 is a deficient number, since it is larger than the sum of its proper divisors (315951787569).

504241300431 is a wasteful number, since it uses less digits than its factorization.

504241300431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164301547 (or 164301544 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 504241300431 its reverse (134003142405), we get a palindrome (638244442836).

The spelling of 504241300431 in words is "five hundred four billion, two hundred forty-one million, three hundred thousand, four hundred thirty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 164301499 492904497 1478713491 1807316489 5093346469 5421949467 15280039407 16265848401 45840118221 56026811159 168080433477 504241300431