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504042240405 = 35113054801457
BaseRepresentation
bin1110101010110110100…
…00100011100110010101
31210012000120101210122010
413111123100203212111
531224234303143110
61023315342254433
751262431231654
oct7253320434625
91705016353563
10504042240405
11184843782550
128182a887419
13386b973b9c2
141a57801119b
15d1a094e020
hex755b423995

504042240405 has 16 divisors (see below), whose sum is σ = 879782819904. Its totient is φ = 244384116480.

The previous prime is 504042240353. The next prime is 504042240409.

504042240405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504042240405 - 26 = 504042240341 is a prime.

It is a super-2 number, since 2×5040422404052 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504042240409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1527400564 + ... + 1527400893.

It is an arithmetic number, because the mean of its divisors is an integer number (54986426244).

Almost surely, 2504042240405 is an apocalyptic number.

504042240405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504042240405 is a deficient number, since it is larger than the sum of its proper divisors (375740579499).

504042240405 is a wasteful number, since it uses less digits than its factorization.

504042240405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054801476.

The product of its (nonzero) digits is 25600, while the sum is 30.

It can be divided in two parts, 504042 and 240405, that added together give a palindrome (744447).

The spelling of 504042240405 in words is "five hundred four billion, forty-two million, two hundred forty thousand, four hundred five".

Divisors: 1 3 5 11 15 33 55 165 3054801457 9164404371 15274007285 33602816027 45822021855 100808448081 168014080135 504042240405