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13032424144 = 242928087121
BaseRepresentation
bin11000010001100101…
…10000001011010000
31020122020210202000201
430020302300023100
5203142300033034
65553110024544
7640645530445
oct141062601320
936566722021
1013032424144
115588511173
122638648154
1312c901519c
148b8ba99cc
15514209014
hex308cb02d0

13032424144 has 20 divisors (see below), whose sum is σ = 26121023460. Its totient is φ = 6291514880.

The previous prime is 13032424127. The next prime is 13032424169. The reversal of 13032424144 is 44142423031.

It can be written as a sum of positive squares in 2 ways, for example, as 9678624400 + 3353799744 = 98380^2 + 57912^2 .

It is a super-2 number, since 2×130324241442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14043097 + ... + 14044024.

It is an arithmetic number, because the mean of its divisors is an integer number (1306051173).

Almost surely, 213032424144 is an apocalyptic number.

It is an amenable number.

13032424144 is an abundant number, since it is smaller than the sum of its proper divisors (13088599316).

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

13032424144 is a wasteful number, since it uses less digits than its factorization.

13032424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28087158 (or 28087152 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13032424144 its reverse (44142423031), we get a palindrome (57174847175).

The spelling of 13032424144 in words is "thirteen billion, thirty-two million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 28087121 56174242 112348484 224696968 449393936 814526509 1629053018 3258106036 6516212072 13032424144