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234055444000 = 2553718146183
BaseRepresentation
bin1101100111111011001…
…0101010011000100000
3211101010201121111012011
43121332302222120200
512313321143202000
6255305032242304
722624053306520
oct3317662523040
9741121544164
10234055444000
1190298218344
1239440840394
13190c0948c81
14b484d93680
15614d1262ba
hex367ecaa620

234055444000 has 192 divisors, whose sum is σ = 660873088512. Its totient is φ = 79802496000.

The previous prime is 234055443997. The next prime is 234055444061. The reversal of 234055444000 is 444550432.

234055444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 5044909 + ... + 5091091.

It is an arithmetic number, because the mean of its divisors is an integer number (3442047336).

Almost surely, 2234055444000 is an apocalyptic number.

234055444000 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 234055444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330436544256).

234055444000 is an abundant number, since it is smaller than the sum of its proper divisors (426817644512).

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

234055444000 is a wasteful number, since it uses less digits than its factorization.

234055444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46396 (or 46378 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

Adding to 234055444000 its reverse (444550432), we get a palindrome (234499994432).

The spelling of 234055444000 in words is "two hundred thirty-four billion, fifty-five million, four hundred forty-four thousand".