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4444056112224 = 253128093614041
BaseRepresentation
bin100000010101011011001…
…1000101100110001100000
3120201211212220121110101010
41000222312120230301200
51040302411331042344
613241323213340520
7636033565454031
oct100526630546140
916654786543333
104444056112224
111463793901173
125b9355497740
132630c3926221
1411514466ca88
157a9004e68b9
hex40ab662cc60

4444056112224 has 48 divisors (see below), whose sum is σ = 11666561261040. Its totient is φ = 1481235978240.

The previous prime is 4444056112219. The next prime is 4444056112231. The reversal of 4444056112224 is 4222116504444.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 577357 + ... + 3036684.

It is an arithmetic number, because the mean of its divisors is an integer number (243053359605).

Almost surely, 24444056112224 is an apocalyptic number.

It is an amenable number.

4444056112224 is an abundant number, since it is smaller than the sum of its proper divisors (7222505148816).

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

4444056112224 is a wasteful number, since it uses less digits than its factorization.

4444056112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626863 (or 3626855 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The spelling of 4444056112224 in words is "four trillion, four hundred forty-four billion, fifty-six million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12809 25618 38427 51236 76854 102472 153708 204944 307416 409888 614832 1229664 3614041 7228082 10842123 14456164 21684246 28912328 43368492 57824656 86736984 115649312 173473968 346947936 46292251169 92584502338 138876753507 185169004676 277753507014 370338009352 555507014028 740676018704 1111014028056 1481352037408 2222028056112 4444056112224