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10440042431 = 713217519121
BaseRepresentation
bin10011011100100011…
…00110011110111111
3222221120210002212012
421232101212132333
5132340122324211
64443542201435
7516466616330
oct115621463677
928846702765
1010440042431
11447814a445
12203442327b
13ca4c0ba00
1471078c287
15411830d8b
hex26e4667bf

10440042431 has 24 divisors (see below), whose sum is σ = 13679902944. Its totient is φ = 7774341120.

The previous prime is 10440042419. The next prime is 10440042463. The reversal of 10440042431 is 13424004401.

It is a happy number.

It is not a de Polignac number, because 10440042431 - 210 = 10440041407 is a prime.

It is a super-2 number, since 2×104400424312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10440042397 and 10440042406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440042331) 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, 239450 + ... + 279671.

It is an arithmetic number, because the mean of its divisors is an integer number (569995956).

Almost surely, 210440042431 is an apocalyptic number.

10440042431 is a deficient number, since it is larger than the sum of its proper divisors (3239860513).

10440042431 is a wasteful number, since it uses less digits than its factorization.

10440042431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519171 (or 519158 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10440042431 its reverse (13424004401), we get a palindrome (23864046832).

The spelling of 10440042431 in words is "ten billion, four hundred forty million, forty-two thousand, four hundred thirty-one".

Divisors: 1 7 13 17 91 119 169 221 1183 1547 2873 20111 519121 3633847 6748573 8825057 47240011 61775399 87731449 114725741 614120143 803080187 1491434633 10440042431