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230214124140 = 2235711133833069
BaseRepresentation
bin1101011001100111010…
…1001100001001101100
3211000020000111012222020
43112121311030021230
512232434303433030
6253431531350140
722426630524330
oct3263165141154
9730200435866
10230214124140
11896a6964930
123874a2b2350
131892ab75340
14b1dcb477c0
155ec5c97510
hex3599d4c26c

230214124140 has 192 divisors, whose sum is σ = 865476541440. Its totient is φ = 44156943360.

The previous prime is 230214124109. The next prime is 230214124141. The reversal of 230214124140 is 41421412032.

230214124140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2302141241404 (a number of 47 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230214124140.

It is not an unprimeable number, because it can be changed into a prime (230214124141) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1856475 + ... + 1976594.

It is an arithmetic number, because the mean of its divisors is an integer number (4507690320).

Almost surely, 2230214124140 is an apocalyptic number.

230214124140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230214124140 is an abundant number, since it is smaller than the sum of its proper divisors (635262417300).

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

230214124140 is a wasteful number, since it uses less digits than its factorization.

230214124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833112 (or 3833110 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 230214124140 its reverse (41421412032), we get a palindrome (271635536172).

The spelling of 230214124140 in words is "two hundred thirty billion, two hundred fourteen million, one hundred twenty-four thousand, one hundred forty".