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114402242313 = 3241310033177
BaseRepresentation
bin110101010001011100…
…1111010111100001001
3101221021220000001112200
41222202321322330021
53333243433223223
6124320005030413
711156665005102
oct1524271727411
9357256001480
10114402242313
11445770a09a7
121a2090b5409
13aa32566708
145773b233a9
152e98825a43
hex1aa2e7af09

114402242313 has 12 divisors (see below), whose sum is σ = 169278115188. Its totient is φ = 74407962240.

The previous prime is 114402242263. The next prime is 114402242321. The reversal of 114402242313 is 313242204411.

114402242313 is a `hidden beast` number, since 1 + 1 + 4 + 402 + 24 + 231 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43127659584 + 71274582729 = 207672^2 + 266973^2 .

It is not a de Polignac number, because 114402242313 - 29 = 114402241801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114402242323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155016220 + ... + 155016957.

It is an arithmetic number, because the mean of its divisors is an integer number (14106509599).

Almost surely, 2114402242313 is an apocalyptic number.

It is an amenable number.

114402242313 is a deficient number, since it is larger than the sum of its proper divisors (54875872875).

114402242313 is a wasteful number, since it uses less digits than its factorization.

114402242313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310033224 (or 310033221 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114402242313 its reverse (313242204411), we get a palindrome (427644446724).

The spelling of 114402242313 in words is "one hundred fourteen billion, four hundred two million, two hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 9 41 123 369 310033177 930099531 2790298593 12711360257 38134080771 114402242313