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230043515040 = 25325415373517
BaseRepresentation
bin1101011000111110101…
…0010111100010100000
3210222210010110101021200
43112033222113202200
512232112114440130
6253402554521200
722422456420603
oct3261752274240
9728703411250
10230043515040
1189619626779
1238701136200
131890170ba01
14b1c421633a
155eb5ce6760
hex358fa978a0

230043515040 has 288 divisors, whose sum is σ = 819354581136. Its totient is φ = 58718699520.

The previous prime is 230043515027. The next prime is 230043515059. The reversal of 230043515040 is 40515340032.

230043515040 is a `hidden beast` number, since 2 + 300 + 4 + 351 + 5 + 0 + 4 + 0 = 666.

230043515040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 121547060496 + 108496454544 = 348636^2 + 329388^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 230043514995 and 230043515013.

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, 3092362 + ... + 3165878.

Almost surely, 2230043515040 is an apocalyptic number.

230043515040 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 230043515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409677290568).

230043515040 is an abundant number, since it is smaller than the sum of its proper divisors (589311066096).

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

230043515040 is a wasteful number, since it uses less digits than its factorization.

230043515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73632 (or 73621 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 230043515040 its reverse (40515340032), we get a palindrome (270558855072).

The spelling of 230043515040 in words is "two hundred thirty billion, forty-three million, five hundred fifteen thousand, forty".