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114034412125 = 5341149149333
BaseRepresentation
bin110101000110011111…
…0110000101001011101
3101220100020212100101101
41222030332300221131
53332020302142000
6124215305113101
711144610336634
oct1521476605135
9356306770341
10114034412125
11443a84a8707
121a125a88791
13a9a42a990a
14573ad3451b
152e763b8e6a
hex1a8cfb0a5d

114034412125 has 32 divisors (see below), whose sum is σ = 146765455200. Its totient is φ = 88404544000.

The previous prime is 114034412119. The next prime is 114034412179. The reversal of 114034412125 is 521214430411.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 114013600281 + 20811844 = 337659^2 + 4562^2 .

It is not a de Polignac number, because 114034412125 - 215 = 114034379357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114034412093 and 114034412102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688959 + ... + 838291.

It is an arithmetic number, because the mean of its divisors is an integer number (4586420475).

Almost surely, 2114034412125 is an apocalyptic number.

It is an amenable number.

114034412125 is a deficient number, since it is larger than the sum of its proper divisors (32731043075).

114034412125 is a wasteful number, since it uses less digits than its factorization.

114034412125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149538 (or 149528 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 114034412125 its reverse (521214430411), we get a palindrome (635248842536).

The spelling of 114034412125 in words is "one hundred fourteen billion, thirty-four million, four hundred twelve thousand, one hundred twenty-five".

Divisors: 1 5 25 41 125 149 205 745 1025 3725 5125 6109 18625 30545 149333 152725 746665 763625 3733325 6122653 18666625 22250617 30613265 111253085 153066325 556265425 765331625 912275297 2781327125 4561376485 22806882425 114034412125