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13400442441 = 34891858849
BaseRepresentation
bin11000111101011101…
…01000011001001001
31021120220022000020000
430132232220121021
5204421003124231
610053413553213
7653034611211
oct143656503111
937526260200
1013400442441
115757222821
12271b945809
1313573397a9
14911a07241
155366a16e6
hex31eba8649

13400442441 has 20 divisors (see below), whose sum is σ = 20242876500. Its totient is φ = 8833245696.

The previous prime is 13400442439. The next prime is 13400442443. The reversal of 13400442441 is 14424400431.

13400442441 is a `hidden beast` number, since 13 + 400 + 4 + 4 + 244 + 1 = 666.

13400442441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13400442439) and next prime (13400442443).

It can be written as a sum of positive squares in 2 ways, for example, as 3157990416 + 10242452025 = 56196^2 + 101205^2 .

It is not a de Polignac number, because 13400442441 - 21 = 13400442439 is a prime.

It is a super-2 number, since 2×134004424412 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13400442443) 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 19 ways as a sum of consecutive naturals, for example, 922216 + ... + 936633.

It is an arithmetic number, because the mean of its divisors is an integer number (1012143825).

Almost surely, 213400442441 is an apocalyptic number.

It is an amenable number.

13400442441 is a deficient number, since it is larger than the sum of its proper divisors (6842434059).

13400442441 is an equidigital number, since it uses as much as digits as its factorization.

13400442441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858950 (or 1858941 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 13400442441 its reverse (14424400431), we get a palindrome (27824842872).

The spelling of 13400442441 in words is "thirteen billion, four hundred million, four hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 1858849 5576547 16729641 50188923 150566769 165437561 496312683 1488938049 4466814147 13400442441