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114334440224 = 2527712898741
BaseRepresentation
bin110101001111011011…
…1010001101100100000
3101221010011102100120012
41222132313101230200
53333124104041344
6124305143504052
711155212464264
oct1523667215440
9357104370505
10114334440224
11445418a1214
121a1aa458028
13aa214b7434
145768b140a4
152e928d129e
hex1a9edd1b20

114334440224 has 24 divisors (see below), whose sum is σ = 225908567388. Its totient is φ = 56960835840.

The previous prime is 114334440211. The next prime is 114334440247. The reversal of 114334440224 is 422044433411.

It can be written as a sum of positive squares in 2 ways, for example, as 111510580624 + 2823859600 = 333932^2 + 53140^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 6440507 + ... + 6458234.

Almost surely, 2114334440224 is an apocalyptic number.

It is an amenable number.

114334440224 is a deficient number, since it is larger than the sum of its proper divisors (111574127164).

114334440224 is a wasteful number, since it uses less digits than its factorization.

114334440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12899028 (or 12899020 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 114334440224 its reverse (422044433411), we get a palindrome (536378873635).

The spelling of 114334440224 in words is "one hundred fourteen billion, three hundred thirty-four million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 277 554 1108 2216 4432 8864 12898741 25797482 51594964 103189928 206379856 412759712 3572951257 7145902514 14291805028 28583610056 57167220112 114334440224