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114766507241 = 375358524481
BaseRepresentation
bin110101011100010011…
…1011110110011101001
3101222020021102122002022
41222320213132303221
53340020211212431
6124420100314225
711202010134011
oct1527047366351
9358207378068
10114766507241
11447437795a1
121a2ab0a2975
13aa8cb757a9
1457aa264c41
152eba7cb07b
hex1ab89dece9

114766507241 has 8 divisors (see below), whose sum is σ = 120092237064. Its totient is φ = 109557826560.

The previous prime is 114766507199. The next prime is 114766507259. The reversal of 114766507241 is 142705667411.

It can be written as a sum of positive squares in 4 ways, for example, as 31106729641 + 83659777600 = 176371^2 + 289240^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114766507241 - 222 = 114762312937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114766507192 and 114766507201.

It is not an unprimeable number, because it can be changed into a prime (114766506241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29260280 + ... + 29264201.

It is an arithmetic number, because the mean of its divisors is an integer number (15011529633).

Almost surely, 2114766507241 is an apocalyptic number.

It is an amenable number.

114766507241 is a deficient number, since it is larger than the sum of its proper divisors (5325729823).

114766507241 is an equidigital number, since it uses as much as digits as its factorization.

114766507241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58524571.

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 114766507241 in words is "one hundred fourteen billion, seven hundred sixty-six million, five hundred seven thousand, two hundred forty-one".

Divisors: 1 37 53 1961 58524481 2165405797 3101797493 114766507241