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13431132234 = 23313172239277
BaseRepresentation
bin11001000001000111…
…01101000001001010
31021200001001012201000
430200203231001022
5210001332212414
610100431435430
7653556511632
oct144043550112
937601035630
1013431132234
115772584493
12272a085b76
1313607c3730
14915b156c2
15539214b09
hex3208ed04a

13431132234 has 192 divisors, whose sum is σ = 34411507200. Its totient is φ = 3859301376.

The previous prime is 13431132229. The next prime is 13431132263. The reversal of 13431132234 is 43223113431.

It is a happy number.

13431132234 is a `hidden beast` number, since 1 + 3 + 431 + 1 + 3 + 223 + 4 = 666.

It is a super-3 number, since 3×134311322343 (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13431132198 and 13431132207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48487704 + ... + 48487980.

It is an arithmetic number, because the mean of its divisors is an integer number (179226600).

Almost surely, 213431132234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13431132234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17205753600).

13431132234 is an abundant number, since it is smaller than the sum of its proper divisors (20980374966).

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

13431132234 is a wasteful number, since it uses less digits than its factorization.

13431132234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 551 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13431132234 its reverse (43223113431), we get a palindrome (56654245665).

The spelling of 13431132234 in words is "thirteen billion, four hundred thirty-one million, one hundred thirty-two thousand, two hundred thirty-four".