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13234120704 = 211327214653
BaseRepresentation
bin11000101001101000…
…01010100000000000
31021011022022222200200
430110310022200000
5204100413330304
610025113045200
7645645112200
oct142464124000
937138288620
1013234120704
115681352842
1226940b6800
13132ba4476c
148d78b0400
15526c9ae39
hex314d0a800

13234120704 has 216 divisors, whose sum is σ = 44466024330. Its totient is φ = 3780919296.

The previous prime is 13234120703. The next prime is 13234120721. The reversal of 13234120704 is 40702143231.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9494553600 + 3739567104 = 97440^2 + 61152^2 .

It is not an unprimeable number, because it can be changed into a prime (13234120703) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 895842 + ... + 910494.

Almost surely, 213234120704 is an apocalyptic number.

13234120704 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 13234120704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22233012165).

13234120704 is an abundant number, since it is smaller than the sum of its proper divisors (31231903626).

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

13234120704 is a wasteful number, since it uses less digits than its factorization.

13234120704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14695 (or 14665 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 13234120704 its reverse (40702143231), we get a palindrome (53936263935).

The spelling of 13234120704 in words is "thirteen billion, two hundred thirty-four million, one hundred twenty thousand, seven hundred four".