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2444404045122 = 2321310446171133
BaseRepresentation
bin100011100100100001110…
…101011011010101000010
322122200102201110102121200
4203210201311123111002
5310022114413420442
65110535502002030
7341413416363414
oct43444165332502
98580381412550
102444404045122
118627363a3536
123358a9b76316
131496774a3210
148644a0ac9b4
15438b7d4534c
hex23921d5b542

2444404045122 has 24 divisors (see below), whose sum is σ = 5703609439164. Its totient is φ = 752124321504.

The previous prime is 2444404045093. The next prime is 2444404045129. The reversal of 2444404045122 is 2215404044442.

2444404045122 is a `hidden beast` number, since 24 + 44 + 40 + 40 + 4 + 512 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2444404044681 + 441 = 1563459^2 + 21^2 .

It is a super-2 number, since 2×24444040451222 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2444404045129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5223085333 + ... + 5223085800.

Almost surely, 22444404045122 is an apocalyptic number.

2444404045122 is an abundant number, since it is smaller than the sum of its proper divisors (3259205394042).

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

2444404045122 is a wasteful number, since it uses less digits than its factorization.

2444404045122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10446171154 (or 10446171151 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 36.

Adding to 2444404045122 its reverse (2215404044442), we get a palindrome (4659808089564).

The spelling of 2444404045122 in words is "two trillion, four hundred forty-four billion, four hundred four million, forty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 10446171133 20892342266 31338513399 62677026798 94015540197 135800224729 188031080394 271600449458 407400674187 814801348374 1222202022561 2444404045122