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31044404224 = 21037819373
BaseRepresentation
bin11100111010011001…
…000000010000000000
32222010112112010122001
4130322121000100000
51002034331413344
622132301153344
72146211040061
oct347231002000
988115463561
1031044404224
1112190836419
12602485b854
132c0987b672
141707034568
15c1a67bed4
hex73a640400

31044404224 has 44 divisors (see below), whose sum is σ = 63735825964. Its totient is φ = 15102664704.

The previous prime is 31044404221. The next prime is 31044404243. The reversal of 31044404224 is 42240444013.

It can be written as a sum of positive squares in 2 ways, for example, as 20552089600 + 10492314624 = 143360^2 + 102432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31044404192 and 31044404201.

It is not an unprimeable number, because it can be changed into a prime (31044404221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 371799 + ... + 447574.

Almost surely, 231044404224 is an apocalyptic number.

It is an amenable number.

31044404224 is an abundant number, since it is smaller than the sum of its proper divisors (32691421740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31044404224 is an equidigital number, since it uses as much as digits as its factorization.

31044404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819430 (or 819412 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 31044404224 its reverse (42240444013), we get a palindrome (73284848237).

The spelling of 31044404224 in words is "thirty-one billion, forty-four million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2368 4736 9472 18944 37888 819373 1638746 3277492 6554984 13109968 26219936 30316801 52439872 60633602 104879744 121267204 209759488 242534408 419518976 485068816 839037952 970137632 1940275264 3880550528 7761101056 15522202112 31044404224