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2042345431 = 72229182011
BaseRepresentation
bin111100110111011…
…1011011111010111
312021100000220020101
41321232323133113
513140320023211
6534354314531
7101416435600
oct17156733727
95240026211
102042345431
1195893a395
1248bb88a47
13267182629
1415535cda7
15be4795c1
hex79bbb7d7

2042345431 has 12 divisors (see below), whose sum is σ = 2386177320. Its totient is φ = 1742927760.

The previous prime is 2042345419. The next prime is 2042345443. The reversal of 2042345431 is 1345432402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2042345419) and next prime (2042345443).

It is not a de Polignac number, because 2042345431 - 25 = 2042345399 is a prime.

It is a super-2 number, since 2×20423454312 = 8342349719053151522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2042345431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042345411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79785 + ... + 102226.

It is an arithmetic number, because the mean of its divisors is an integer number (198848110).

Almost surely, 22042345431 is an apocalyptic number.

2042345431 is a deficient number, since it is larger than the sum of its proper divisors (343831889).

2042345431 is a wasteful number, since it uses less digits than its factorization.

2042345431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182254 (or 182247 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2042345431 is about 45192.3160614722. The cubic root of 2042345431 is about 1268.7510053103.

Adding to 2042345431 its reverse (1345432402), we get a palindrome (3387777833).

The spelling of 2042345431 in words is "two billion, forty-two million, three hundred forty-five thousand, four hundred thirty-one".

Divisors: 1 7 49 229 1603 11221 182011 1274077 8918539 41680519 291763633 2042345431