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10404340431 = 34318046667
BaseRepresentation
bin10011011000010010…
…11010001011001111
3222212002121020220220
421230021122023033
5132302002343211
64440225042423
7515554302012
oct115411321317
928762536826
1010404340431
114459a84a61
122024486413
13c9a6bb574
14709b37379
1540d62c806
hex26c25a2cf

10404340431 has 8 divisors (see below), whose sum is σ = 13904642304. Its totient is φ = 6920132760.

The previous prime is 10404340363. The next prime is 10404340433. The reversal of 10404340431 is 13404340401.

10404340431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10404340431 - 217 = 10404209359 is a prime.

It is a super-2 number, since 2×104043404312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404340433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4022041 + ... + 4024626.

It is an arithmetic number, because the mean of its divisors is an integer number (1738080288).

Almost surely, 210404340431 is an apocalyptic number.

10404340431 is a deficient number, since it is larger than the sum of its proper divisors (3500301873).

10404340431 is an equidigital number, since it uses as much as digits as its factorization.

10404340431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047101.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10404340431 its reverse (13404340401), we get a palindrome (23808680832).

The spelling of 10404340431 in words is "ten billion, four hundred four million, three hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 431 1293 8046667 24140001 3468113477 10404340431