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2144115405 = 325371287757
BaseRepresentation
bin111111111001100…
…1001101011001101
312112102112100101200
41333303021223031
513342343143110
6552431500113
7104063452215
oct17763115315
95472470350
102144115405
11a0032a703
124ba087639
13282295953
14164a91245
15c837d6c0
hex7fcc9acd

2144115405 has 24 divisors (see below), whose sum is σ = 3816914712. Its totient is φ = 1112621184.

The previous prime is 2144115397. The next prime is 2144115427. The reversal of 2144115405 is 5045114412.

2144115405 is a `hidden beast` number, since 2 + 144 + 115 + 405 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1140683076 + 1003432329 = 33774^2 + 31677^2 .

It is not a de Polignac number, because 2144115405 - 23 = 2144115397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642214 + ... + 645543.

It is an arithmetic number, because the mean of its divisors is an integer number (159038113).

Almost surely, 22144115405 is an apocalyptic number.

It is an amenable number.

2144115405 is a deficient number, since it is larger than the sum of its proper divisors (1672799307).

2144115405 is a wasteful number, since it uses less digits than its factorization.

2144115405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287805 (or 1287802 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2144115405 is about 46304.5937785875. The cubic root of 2144115405 is about 1289.4842809623.

Adding to 2144115405 its reverse (5045114412), we get a palindrome (7189229817).

The spelling of 2144115405 in words is "two billion, one hundred forty-four million, one hundred fifteen thousand, four hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 1287757 3863271 6438785 11589813 19316355 47647009 57949065 142941027 238235045 428823081 714705135 2144115405