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114885042241 = 41672624209
BaseRepresentation
bin110101011111110101…
…1101010000001000001
3101222112112110211112111
41222333223222001001
53340241032322431
6124435533055321
711204646514054
oct1527753520101
9358475424474
10114885042241
11447a467a702
121a322927541
13aaab5a8948
1457bbcbca9b
152ec5de27b1
hex1abfaea041

114885042241 has 12 divisors (see below), whose sum is σ = 119470048740. Its totient is φ = 110409911040.

The previous prime is 114885042221. The next prime is 114885042253. The reversal of 114885042241 is 142240588411.

It can be written as a sum of positive squares in 2 ways, for example, as 2075713600 + 112809328641 = 45560^2 + 335871^2 .

It is not a de Polignac number, because 114885042241 - 219 = 114884517953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114885042194 and 114885042203.

It is not an unprimeable number, because it can be changed into a prime (114885042221) 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 11 ways as a sum of consecutive naturals, for example, 128056 + ... + 496153.

It is an arithmetic number, because the mean of its divisors is an integer number (9955837395).

Almost surely, 2114885042241 is an apocalyptic number.

It is an amenable number.

114885042241 is a deficient number, since it is larger than the sum of its proper divisors (4585006499).

114885042241 is an frugal number, since it uses more digits than its factorization.

114885042241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624384 (or 624317 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The spelling of 114885042241 in words is "one hundred fourteen billion, eight hundred eighty-five million, forty-two thousand, two hundred forty-one".

Divisors: 1 41 67 2747 4489 184049 624209 25592569 41822003 1714702123 2802074201 114885042241