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44404182729 = 32702412
BaseRepresentation
bin101001010110101100…
…100000111011001001
311020121121022012102100
4221112230200323021
51211414432321404
632222103424013
73131243216454
oct512654407311
9136547265370
1044404182729
1117917004785
128732a55009
13425864b34a
14221349449b
15124d499d39
hexa56b20ec9

44404182729 has 9 divisors (see below), whose sum is σ = 64140288199. Its totient is φ = 29602367040.

The previous prime is 44404182703. The next prime is 44404182751. The reversal of 44404182729 is 92728140444.

The square root of 44404182729 is 210723.

It is a perfect power (a square), and thus also a powerful number.

44404182729 is a `hidden beast` number, since 4 + 440 + 4 + 182 + 7 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44363733129 + 40449600 = 210627^2 + 6360^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 44404182729 - 29 = 44404182217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44404182829) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 597049 + ... + 667289.

Almost surely, 244404182729 is an apocalyptic number.

44404182729 is the 210723-rd square number.

44404182729 is the 105362-nd centered octagonal number.

It is an amenable number.

44404182729 is a deficient number, since it is larger than the sum of its proper divisors (19736105470).

44404182729 is an frugal number, since it uses more digits than its factorization.

44404182729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140488 (or 70244 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 44404182729 in words is "forty-four billion, four hundred four million, one hundred eighty-two thousand, seven hundred twenty-nine".

Divisors: 1 3 9 70241 210723 632169 4933798081 14801394243 44404182729