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114365461225 = 5214281320329
BaseRepresentation
bin110101010000010110…
…1100111001011101001
3101221012022210101101011
41222200231213023221
53333210024224400
6124312212423521
711156040244441
oct1524055471351
9357168711334
10114365461225
1144558359804
121a1b8917ba1
13aa27a59062
14576ccab121
152e954ac8ba
hex1aa0b672e9

114365461225 has 12 divisors (see below), whose sum is σ = 141823544860. Its totient is φ = 91485676800.

The previous prime is 114365461201. The next prime is 114365461271. The reversal of 114365461225 is 522164563411.

It can be written as a sum of positive squares in 6 ways, for example, as 14092538944 + 100272922281 = 118712^2 + 316659^2 .

It is not a de Polignac number, because 114365461225 - 211 = 114365459177 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 196861 + ... + 517189.

Almost surely, 2114365461225 is an apocalyptic number.

It is an amenable number.

114365461225 is a deficient number, since it is larger than the sum of its proper divisors (27458083635).

114365461225 is a wasteful number, since it uses less digits than its factorization.

114365461225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334620 (or 334615 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The spelling of 114365461225 in words is "one hundred fourteen billion, three hundred sixty-five million, four hundred sixty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 14281 71405 320329 357025 1601645 8008225 4574618449 22873092245 114365461225