Search a number
-
+
234404044000 = 25537210711177
BaseRepresentation
bin1101101001001110010…
…0011101110011100000
3211102001000120012111021
43122103210131303200
512320024413402000
6255403404055224
722635515333200
oct3322344356340
9742030505437
10234404044000
1190456a76715
1239519534514
1319147c31b69
14b4b93b8400
15616da3511a
hex369391dce0

234404044000 has 288 divisors, whose sum is σ = 676282055904. Its totient is φ = 79608883200.

The previous prime is 234404043997. The next prime is 234404044037. The reversal of 234404044000 is 440404432.

234404044000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20966412 + ... + 20977588.

It is an arithmetic number, because the mean of its divisors is an integer number (2348201583).

Almost surely, 2234404044000 is an apocalyptic number.

234404044000 is a gapful number since it is divisible by the number (20) 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 234404044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338141027952).

234404044000 is an abundant number, since it is smaller than the sum of its proper divisors (441878011904).

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

234404044000 is a wasteful number, since it uses less digits than its factorization.

234404044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11298 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 234404044000 its reverse (440404432), we get a palindrome (234844448432).

The spelling of 234404044000 in words is "two hundred thirty-four billion, four hundred four million, forty-four thousand".