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13424431525344 = 2532767352928163
BaseRepresentation
bin1100001101011001111001…
…1110001110110111100000
31202112100210201021222110100
43003112132132032313200
53224421213432302334
644315033153102400
72553611633135310
oct303263636166740
952470721258410
1013424431525344
1143062a6692754
1216098b2b57a00
13764bc2b21718
14345a62c73440
15184300db0c99
hexc359e78ede0

13424431525344 has 288 divisors, whose sum is σ = 44294707941120. Its totient is φ = 3777100056576.

The previous prime is 13424431525343. The next prime is 13424431525363. The reversal of 13424431525344 is 44352513442431.

It is a happy number.

13424431525344 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 44 + 315 + 253 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 13424431525344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424431525343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476655007 + ... + 476683169.

It is an arithmetic number, because the mean of its divisors is an integer number (153801069240).

Almost surely, 213424431525344 is an apocalyptic number.

13424431525344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13424431525344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22147353970560).

13424431525344 is an abundant number, since it is smaller than the sum of its proper divisors (30870276415776).

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

13424431525344 is a wasteful number, since it uses less digits than its factorization.

13424431525344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31782 (or 31771 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 13424431525344 its reverse (44352513442431), we get a palindrome (57776944967775).

The spelling of 13424431525344 in words is "thirteen trillion, four hundred twenty-four billion, four hundred thirty-one million, five hundred twenty-five thousand, three hundred forty-four".