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13413201444 = 2232372588929
BaseRepresentation
bin11000111110111110…
…10011011000100100
31021121210022020021200
430133133103120210
5204432234421234
610054551242500
7653251221366
oct143737233044
937553266250
1013413201444
115763447855
122724079430
131359b860b6
149135a8d36
15537871d99
hex31f7d3624

13413201444 has 18 divisors (see below), whose sum is σ = 33905592630. Its totient is φ = 4471067136.

The previous prime is 13413201443. The next prime is 13413201457. The reversal of 13413201444 is 44410231431.

13413201444 is a `hidden beast` number, since 1 + 3 + 4 + 13 + 201 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11612217600 + 1800983844 = 107760^2 + 42438^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (13413201443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 186294429 + ... + 186294500.

It is an arithmetic number, because the mean of its divisors is an integer number (1883644035).

Almost surely, 213413201444 is an apocalyptic number.

It is an amenable number.

13413201444 is an abundant number, since it is smaller than the sum of its proper divisors (20492391186).

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

13413201444 is a wasteful number, since it uses less digits than its factorization.

13413201444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372588939 (or 372588934 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13413201444 its reverse (44410231431), we get a palindrome (57823432875).

The spelling of 13413201444 in words is "thirteen billion, four hundred thirteen million, two hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 372588929 745177858 1117766787 1490355716 2235533574 3353300361 4471067148 6706600722 13413201444