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44064046044 = 22321224001279
BaseRepresentation
bin101001000010011010…
…111111101111011100
311012201220021110121100
4221002122333233130
51210220343433134
632124233233100
73116643132354
oct510232775734
9135656243540
1044064046044
1117762006a87
128658b62790
134203039735
1421c0233b64
15122d6ad999
hexa426bfbdc

44064046044 has 18 divisors (see below), whose sum is σ = 111384116480. Its totient is φ = 14688015336.

The previous prime is 44064046007. The next prime is 44064046079.

44064046044 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 40 + 4 + 604 + 4 = 666.

44064046044 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1224001279 = 44064046044 / (4 + 4 + 0 + 6 + 4 + 0 + 4 + 6 + 0 + 4 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 612000604 + ... + 612000675.

Almost surely, 244064046044 is an apocalyptic number.

It is an amenable number.

44064046044 is an abundant number, since it is smaller than the sum of its proper divisors (67320070436).

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

44064046044 is a wasteful number, since it uses less digits than its factorization.

44064046044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224001289 (or 1224001284 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 440640 and 46044, that added together give a palindrome (486684).

The spelling of 44064046044 in words is "forty-four billion, sixty-four million, forty-six thousand, forty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 9 12 18 36 1224001279 2448002558 3672003837 4896005116 7344007674 11016011511 14688015348 22032023022 44064046044