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114444115524 = 22323179003209
BaseRepresentation
bin110101010010101100…
…1101001111001000100
3101221101210210102210100
41222211121221321010
53333340143144044
6124324102324100
711161013634324
oct1524531517104
9357353712710
10114444115524
11445987a0962
121a21b129630
13aa3b137a6b
145779503284
152e9c347869
hex1aa5669e44

114444115524 has 18 divisors (see below), whose sum is σ = 289289292110. Its totient is φ = 38148038496.

The previous prime is 114444115469. The next prime is 114444115567. The reversal of 114444115524 is 425511444411.

114444115524 is a `hidden beast` number, since 1 + 1 + 44 + 441 + 155 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84733388100 + 29710727424 = 291090^2 + 172368^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3179003209 = 114444115524 / (1 + 1 + 4 + 4 + 4 + 4 + 1 + 1 + 5 + 5 + 2 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1589501569 + ... + 1589501640.

Almost surely, 2114444115524 is an apocalyptic number.

It is an amenable number.

114444115524 is an abundant number, since it is smaller than the sum of its proper divisors (174845176586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114444115524 is a wasteful number, since it uses less digits than its factorization.

114444115524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179003219 (or 3179003214 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

Adding to 114444115524 its reverse (425511444411), we get a palindrome (539955559935).

The spelling of 114444115524 in words is "one hundred fourteen billion, four hundred forty-four million, one hundred fifteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3179003209 6358006418 9537009627 12716012836 19074019254 28611028881 38148038508 57222057762 114444115524