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404441142431 = 23197768111621
BaseRepresentation
bin1011110001010101001…
…00100001010010011111
31102122221012100210002112
411320222210201102133
523111243413024211
6505444145144235
741135266663064
oct5705244412237
91378835323075
10404441142431
11146582532447
126647262b07b
132c1a5777b81
1415809d4ac6b
15a7c175c88b
hex5e2a92149f

404441142431 has 16 divisors (see below), whose sum is σ = 424259529408. Its totient is φ = 384809779200.

The previous prime is 404441142421. The next prime is 404441142541. The reversal of 404441142431 is 134241144404.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404441142431 is a prime.

It is a super-2 number, since 2×4044411424312 (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 (404441142401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34796801 + ... + 34808421.

It is an arithmetic number, because the mean of its divisors is an integer number (26516220588).

Almost surely, 2404441142431 is an apocalyptic number.

404441142431 is a deficient number, since it is larger than the sum of its proper divisors (19818386977).

404441142431 is a wasteful number, since it uses less digits than its factorization.

404441142431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19522.

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 404441142431 its reverse (134241144404), we get a palindrome (538682286835).

The spelling of 404441142431 in words is "four hundred four billion, four hundred forty-one million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 23 197 4531 7681 11621 176663 267283 1513157 2289337 34802611 52654751 89260901 2053000723 17584397497 404441142431