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10441434401 = 19252795479
BaseRepresentation
bin10011011100101101…
…11010010100100001
3222221200101211021122
421232112322110201
5132341001400101
64444032102025
7516514504466
oct115626722441
928850354248
1010441434401
114478a10232
122034994915
13ca52a8468
14710a3166d
15411a0851b
hex26e5ba521

10441434401 has 12 divisors (see below), whose sum is σ = 11024006400. Its totient is φ = 9888206328.

The previous prime is 10441434397. The next prime is 10441434403. The reversal of 10441434401 is 10443414401.

10441434401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10441434401 - 22 = 10441434397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10441434403) 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 11 ways as a sum of consecutive naturals, for example, 1902980 + ... + 1908458.

It is an arithmetic number, because the mean of its divisors is an integer number (918667200).

Almost surely, 210441434401 is an apocalyptic number.

It is an amenable number.

10441434401 is a deficient number, since it is larger than the sum of its proper divisors (582571999).

10441434401 is an equidigital number, since it uses as much as digits as its factorization.

10441434401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10796 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10441434401 its reverse (10443414401), we get a palindrome (20884848802).

The spelling of 10441434401 in words is "ten billion, four hundred forty-one million, four hundred thirty-four thousand, four hundred one".

Divisors: 1 19 361 5279 5479 100301 104101 1905719 1977919 28923641 549549179 10441434401