Search a number
-
+
442003442445 = 32537265467533
BaseRepresentation
bin1100110111010010111…
…01010100101100001101
31120020212222110022212100
412123221131110230031
524220210340124240
6535015323425313
743635154161615
oct6335135245415
91506788408770
10442003442445
111604a84693a4
12717b6085239
13328b07a1ab6
1417570883a45
15b76e222e30
hex66e9754b0d

442003442445 has 24 divisors (see below), whose sum is σ = 786845770776. Its totient is φ = 229363947648.

The previous prime is 442003442423. The next prime is 442003442467. The reversal of 442003442445 is 544244300244.

442003442445 is a `hidden beast` number, since 4 + 4 + 200 + 3 + 4 + 4 + 2 + 445 = 666.

It is an interprime number because it is at equal distance from previous prime (442003442423) and next prime (442003442467).

It can be written as a sum of positive squares in 4 ways, for example, as 142700351049 + 299303091396 = 377757^2 + 547086^2 .

It is not a de Polignac number, because 442003442445 - 210 = 442003441421 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, 132732102 + ... + 132735431.

It is an arithmetic number, because the mean of its divisors is an integer number (32785240449).

Almost surely, 2442003442445 is an apocalyptic number.

442003442445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442003442445 is a deficient number, since it is larger than the sum of its proper divisors (344842328331).

442003442445 is a wasteful number, since it uses less digits than its factorization.

442003442445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265467581 (or 265467578 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 442003442445 its reverse (544244300244), we get a palindrome (986247742689).

The spelling of 442003442445 in words is "four hundred forty-two billion, three million, four hundred forty-two thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 265467533 796402599 1327337665 2389207797 3982012995 9822298721 11946038985 29466896163 49111493605 88400688489 147334480815 442003442445