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2444400242244 = 2232371835135317
BaseRepresentation
bin100011100100100001100…
…110111010111001000100
322122200102110022020001100
4203210201212322321010
5310022112430222434
65110535244300100
7341413342144332
oct43444146727104
98580373266040
102444400242244
11862734236364
123358a8841630
131496767712ac
148644979cb52
15438b7843699
hex239219bae44

2444400242244 has 36 divisors (see below), whose sum is σ = 6345897929644. Its totient is φ = 792778456512.

The previous prime is 2444400242201. The next prime is 2444400242257. The reversal of 2444400242244 is 4422420044442.

2444400242244 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 400 + 2 + 4 + 2 + 244 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1494535590144 + 949864652100 = 1222512^2 + 974610^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2444400242199 and 2444400242208.

It is an unprimeable number.

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, 917566327 + ... + 917568990.

Almost surely, 22444400242244 is an apocalyptic number.

It is an amenable number.

2444400242244 is an abundant number, since it is smaller than the sum of its proper divisors (3901497687400).

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

2444400242244 is a wasteful number, since it uses less digits than its factorization.

2444400242244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835135364 (or 1835135359 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 2444400242244 its reverse (4422420044442), we get a palindrome (6866820286686).

The spelling of 2444400242244 in words is "two trillion, four hundred forty-four billion, four hundred million, two hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1835135317 3670270634 5505405951 7340541268 11010811902 16516217853 22021623804 33032435706 66064871412 67900006729 135800013458 203700020187 271600026916 407400040374 611100060561 814800080748 1222200121122 2444400242244