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404242332431 = 7289101917771
BaseRepresentation
bin1011110000111101011…
…10000111101100001111
31102122102100021012001012
411320132232013230033
523110342014114211
6505412324035435
741130334063100
oct5703656075417
91378370235035
10404242332431
11146490292563
1266417b32b7b
132c173519412
14157cb7983a7
15a7ae08ad8b
hex5e1eb87b0f

404242332431 has 24 divisors (see below), whose sum is σ = 480233376720. Its totient is φ = 339207792000.

The previous prime is 404242332421. The next prime is 404242332433. The reversal of 404242332431 is 134233242404.

It is a de Polignac number, because none of the positive numbers 2k-404242332431 is a prime.

It is a super-2 number, since 2×4042423324312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404242332433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18425 + ... + 899346.

It is an arithmetic number, because the mean of its divisors is an integer number (20009724030).

Almost surely, 2404242332431 is an apocalyptic number.

404242332431 is a deficient number, since it is larger than the sum of its proper divisors (75991044289).

404242332431 is a wasteful number, since it uses less digits than its factorization.

404242332431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917975 (or 917968 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 404242332431 its reverse (134233242404), we get a palindrome (538475574835).

The spelling of 404242332431 in words is "four hundred four billion, two hundred forty-two million, three hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 7 49 89 101 623 707 4361 4949 8989 62923 440461 917771 6424397 44970779 81681619 92694871 571771333 648864097 4002399331 4542048679 8249843519 57748904633 404242332431