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2444405431 = 132348716787
BaseRepresentation
bin1001000110110010…
…1010101010110111
320022100120122212111
42101230222222313
520001231433211
61042320031451
7114401050306
oct22154525267
96270518774
102444405431
111044891a86
12582762587
132cc565760
141928dc43d
15e48e8421
hex91b2aab7

2444405431 has 16 divisors (see below), whose sum is σ = 2752694784. Its totient is φ = 2153710944.

The previous prime is 2444405419. The next prime is 2444405437. The reversal of 2444405431 is 1345044442.

It is a cyclic number.

It is not a de Polignac number, because 2444405431 - 25 = 2444405399 is a prime.

It is a super-2 number, since 2×24444054312 = 11950235822204591522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2444405393 and 2444405402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444405437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137220 + ... + 154006.

It is an arithmetic number, because the mean of its divisors is an integer number (172043424).

Almost surely, 22444405431 is an apocalyptic number.

2444405431 is a deficient number, since it is larger than the sum of its proper divisors (308289353).

2444405431 is a wasteful number, since it uses less digits than its factorization.

2444405431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17310.

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 2444405431 is about 49440.9287028470. The cubic root of 2444405431 is about 1347.0728403499.

Adding to 2444405431 its reverse (1345044442), we get a palindrome (3789449873).

The spelling of 2444405431 in words is "two billion, four hundred forty-four million, four hundred five thousand, four hundred thirty-one".

Divisors: 1 13 23 299 487 6331 11201 16787 145613 218231 386101 5019313 8175269 106278497 188031187 2444405431