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114435041 = 721728081
BaseRepresentation
bin1101101001000…
…10001111100001
321222022220100212
412310202033201
5213243410131
615204423505
72556452600
oct664421741
9258286325
10114435041
1159660816
12323a7b95
131a928c56
14112aba37
15a0a6a2b
hex6d223e1

114435041 has 18 divisors (see below), whose sum is σ = 141426918. Its totient is φ = 92305920.

The previous prime is 114435037. The next prime is 114435047. The reversal of 114435041 is 140534411.

It can be written as a sum of positive squares in 3 ways, for example, as 37258816 + 77176225 = 6104^2 + 8785^2 .

It is not a de Polignac number, because 114435041 - 22 = 114435037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114434998 and 114435016.

It is not an unprimeable number, because it can be changed into a prime (114435047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10121 + ... + 18201.

It is an arithmetic number, because the mean of its divisors is an integer number (7857051).

Almost surely, 2114435041 is an apocalyptic number.

It is an amenable number.

114435041 is a deficient number, since it is larger than the sum of its proper divisors (26991877).

114435041 is an equidigital number, since it uses as much as digits as its factorization.

114435041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8129 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 114435041 is about 10697.4315141533. The cubic root of 114435041 is about 485.4967680797.

Adding to 114435041 its reverse (140534411), we get a palindrome (254969452).

The spelling of 114435041 in words is "one hundred fourteen million, four hundred thirty-five thousand, forty-one".

Divisors: 1 7 17 49 119 289 833 2023 8081 14161 56567 137377 395969 961639 2335409 6731473 16347863 114435041