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114045246765 = 3252534338817
BaseRepresentation
bin110101000110110100…
…0000101110100101101
3101220101000020210201100
41222031220011310231
53332031040344030
6124220333233313
711145101413542
oct1521550056455
9356330223640
10114045246765
114440362895a
121a129632839
13a9a6601348
14573c554bc9
152e77309360
hex1a8da05d2d

114045246765 has 12 divisors (see below), whose sum is σ = 197678427804. Its totient is φ = 60824131584.

The previous prime is 114045246761. The next prime is 114045246817. The reversal of 114045246765 is 567642540411.

114045246765 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 524 + 67 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48543546276 + 65501700489 = 220326^2 + 255933^2 .

It is not a de Polignac number, because 114045246765 - 22 = 114045246761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2534338817 = 114045246765 / (1 + 1 + 4 + 0 + 4 + 5 + 2 + 4 + 6 + 7 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114045246765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114045246761) 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, 1267169364 + ... + 1267169453.

It is an arithmetic number, because the mean of its divisors is an integer number (16473202317).

Almost surely, 2114045246765 is an apocalyptic number.

114045246765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114045246765 is a deficient number, since it is larger than the sum of its proper divisors (83633181039).

114045246765 is a wasteful number, since it uses less digits than its factorization.

114045246765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534338828 (or 2534338825 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 114045246765 in words is "one hundred fourteen billion, forty-five million, two hundred forty-six thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 45 2534338817 7603016451 12671694085 22809049353 38015082255 114045246765