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44001414061 = 1141598112039
BaseRepresentation
bin101000111110101100…
…000100101110101101
311012120112102102200021
4220332230010232231
51210103330222221
632114115002141
73115252564003
oct507654045655
9135515372607
1044001414061
111772a718710
12863bb99351
1341c307a7a7
1421b5baca73
151227e3b041
hexa3eb04bad

44001414061 has 32 divisors (see below), whose sum is σ = 50091955200. Its totient is φ = 38298096000.

The previous prime is 44001414049. The next prime is 44001414097. The reversal of 44001414061 is 16041410044.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 44001414061 - 27 = 44001413933 is a prime.

It is a super-2 number, since 2×440014140612 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44001414161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21578880 + ... + 21580918.

It is an arithmetic number, because the mean of its divisors is an integer number (1565373600).

Almost surely, 244001414061 is an apocalyptic number.

44001414061 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

44001414061 is a deficient number, since it is larger than the sum of its proper divisors (6090541139).

44001414061 is a wasteful number, since it uses less digits than its factorization.

44001414061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961.

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 44001414061 in words is "forty-four billion, one million, four hundred fourteen thousand, sixty-one".

Divisors: 1 11 41 59 451 649 811 2039 2419 8921 22429 26609 33251 47849 83599 120301 365761 526339 919589 1323311 1653629 1961809 4932341 18189919 21579899 54255751 67798789 97564111 745786679 1073205221 4000128551 44001414061