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44014413348 = 22321222622593
BaseRepresentation
bin101000111111011101…
…101010011000100100
311012121102212212100100
4220333131222120210
51210120142211343
632115301344100
73115501224543
oct507735523044
9135542785310
1044014413348
1117736a97224
128644408030
1341c597c589
1421b77d415a
1512291579d3
hexa3f76a624

44014413348 has 18 divisors (see below), whose sum is σ = 111258656054. Its totient is φ = 14671471104.

The previous prime is 44014413319. The next prime is 44014413389. The reversal of 44014413348 is 84331441044.

44014413348 is a `hidden beast` number, since 440 + 1 + 44 + 133 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27330041124 + 16684372224 = 165318^2 + 129168^2 .

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: 1222622593 = 44014413348 / (4 + 4 + 0 + 1 + 4 + 4 + 1 + 3 + 3 + 4 + 8).

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 5 ways as a sum of consecutive naturals, for example, 611311261 + ... + 611311332.

Almost surely, 244014413348 is an apocalyptic number.

It is an amenable number.

44014413348 is an abundant number, since it is smaller than the sum of its proper divisors (67244242706).

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

44014413348 is a wasteful number, since it uses less digits than its factorization.

44014413348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222622603 (or 1222622598 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 44014413348 in words is "forty-four billion, fourteen million, four hundred thirteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1222622593 2445245186 3667867779 4890490372 7335735558 11003603337 14671471116 22007206674 44014413348