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114112240242 = 2371113113277607
BaseRepresentation
bin110101001000110011…
…1101001101001110010
3101220112200022102111020
41222101213221221302
53332200213141432
6124231125200310
711146544016030
oct1522147515162
9356480272436
10114112240242
1144438426070
121a147b60096
13a9b7459560
1457473d3550
152e7d13e22c
hex1a919e9a72

114112240242 has 256 divisors, whose sum is σ = 310766174208. Its totient is φ = 26975047680.

The previous prime is 114112240219. The next prime is 114112240259. The reversal of 114112240242 is 242042211411.

It is a happy number.

114112240242 is digitally balanced in base 3, 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 127 ways as a sum of consecutive naturals, for example, 187993503 + ... + 187994109.

It is an arithmetic number, because the mean of its divisors is an integer number (1213930368).

Almost surely, 2114112240242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114112240242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155383087104).

114112240242 is an abundant number, since it is smaller than the sum of its proper divisors (196653933966).

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

114112240242 is a wasteful number, since it uses less digits than its factorization.

114112240242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 114112240242 its reverse (242042211411), we get a palindrome (356154451653).

The spelling of 114112240242 in words is "one hundred fourteen billion, one hundred twelve million, two hundred forty thousand, two hundred forty-two".