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44424042444 = 22322309534431
BaseRepresentation
bin101001010111111000…
…010001011111001100
311020122222200011211100
4221113320101133030
51211440023324234
632224053223100
73131604062505
oct512770213714
9136588604740
1044424042444
1117927239671
128739631a90
13425c7b2962
142215d83bac
1512500be399
hexa57e117cc

44424042444 has 36 divisors (see below), whose sum is σ = 112342950720. Its totient is φ = 14801573280.

The previous prime is 44424042413. The next prime is 44424042479.

44424042444 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 404 + 244 + 4 = 666.

44424042444 is nontrivially palindromic in base 10.

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 = 44424042399 and 44424042408.

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, 184092 + ... + 350339.

It is an arithmetic number, because the mean of its divisors is an integer number (3120637520).

Almost surely, 244424042444 is an apocalyptic number.

It is an amenable number.

44424042444 is an abundant number, since it is smaller than the sum of its proper divisors (67918908276).

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

44424042444 is a wasteful number, since it uses less digits than its factorization.

44424042444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536750 (or 536745 counting only the distinct ones).

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

It can be divided in two parts, 444240 and 42444, that added together give a palindrome (486684).

The spelling of 44424042444 in words is "forty-four billion, four hundred twenty-four million, forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2309 4618 6927 9236 13854 20781 27708 41562 83124 534431 1068862 1603293 2137724 3206586 4809879 6413172 9619758 19239516 1234001179 2468002358 3702003537 4936004716 7404007074 11106010611 14808014148 22212021222 44424042444