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230334034114140 = 2235111992465971119
BaseRepresentation
bin110100010111110011010010…
…010010000111011001011100
31010012112201101212102222102120
4310113303102102013121130
5220142243100213123030
62133513554451022540
766342041042104065
oct6427632222073134
91105481355388376
10230334034114140
116743412a509360
1221a00341b9aa50
139b6a5385c8cb8
1440c432623156c
151b967b43b4010
hexd17cd248765c

230334034114140 has 192 divisors, whose sum is σ = 707139901440000. Its totient is φ = 55554923761920.

The previous prime is 230334034114111. The next prime is 230334034114141. The reversal of 230334034114140 is 41411430433032.

230334034114140 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230334034114141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3238677501 + ... + 3238748619.

It is an arithmetic number, because the mean of its divisors is an integer number (3683020320000).

Almost surely, 2230334034114140 is an apocalyptic number.

230334034114140 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 230334034114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353569950720000).

230334034114140 is an abundant number, since it is smaller than the sum of its proper divisors (476805867325860).

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

230334034114140 is a wasteful number, since it uses less digits than its factorization.

230334034114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96000 (or 95998 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 230334034114140 its reverse (41411430433032), we get a palindrome (271745464547172).

The spelling of 230334034114140 in words is "two hundred thirty trillion, three hundred thirty-four billion, thirty-four million, one hundred fourteen thousand, one hundred forty".