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13402401444 = 22321013686029
BaseRepresentation
bin11000111101101100…
…00110101010100100
31021121000222112110200
430132312012222210
5204422003321234
610053523550500
7653060350455
oct143666065244
937530875420
1013402401444
115758340633
12272052b430
131357874373
14911d9712c
1553693bd99
hex31ed86aa4

13402401444 has 36 divisors (see below), whose sum is σ = 34213730460. Its totient is φ = 4423233600.

The previous prime is 13402401421. The next prime is 13402401487. The reversal of 13402401444 is 44410420431.

13402401444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11252966400 + 2149435044 = 106080^2 + 46362^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×134024014442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 1839379 + ... + 1846650.

Almost surely, 213402401444 is an apocalyptic number.

It is an amenable number.

13402401444 is an abundant number, since it is smaller than the sum of its proper divisors (20811329016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13402401444 is a wasteful number, since it uses less digits than its factorization.

13402401444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686140 (or 3686135 counting only the distinct ones).

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

Adding to 13402401444 its reverse (44410420431), we get a palindrome (57812821875).

The spelling of 13402401444 in words is "thirteen billion, four hundred two million, four hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 3686029 7372058 11058087 14744116 22116174 33174261 44232348 66348522 132697044 372288929 744577858 1116866787 1489155716 2233733574 3350600361 4467467148 6701200722 13402401444