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44107078056417 = 347611033692689
BaseRepresentation
bin10100000011101011110101…
…01110000011100111100001
312210011121002002212120120000
422001311322232003213201
521240122243440301132
6233450302324410213
712201426340364265
oct1201657256034741
9183147062776500
1044107078056417
111306578576a342
124b442b7246969
131b7c38340839c
14ac6b189140a5
155174d64e887c
hex281d7ab839e1

44107078056417 has 40 divisors (see below), whose sum is σ = 66038895094920. Its totient is φ = 29337608816640.

The previous prime is 44107078056361. The next prime is 44107078056527. The reversal of 44107078056417 is 71465087070144.

44107078056417 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 7 + 0 + 78 + 0 + 564 + 1 + 7 = 666.

44107078056417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 168753353616 + 43938324702801 = 410796^2 + 6628599^2 .

It is not a de Polignac number, because 44107078056417 - 28 = 44107078056161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44107078056317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63328809 + ... + 64021497.

It is an arithmetic number, because the mean of its divisors is an integer number (1650972377373).

Almost surely, 244107078056417 is an apocalyptic number.

It is an amenable number.

44107078056417 is a deficient number, since it is larger than the sum of its proper divisors (21931817038503).

44107078056417 is a wasteful number, since it uses less digits than its factorization.

44107078056417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694495 (or 694486 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 44107078056417 in words is "forty-four trillion, one hundred seven billion, seventy-eight million, fifty-six thousand, four hundred seventeen".

Divisors: 1 3 9 27 81 761 1033 2283 3099 6849 9297 20547 27891 61641 83673 692689 786113 2078067 2358339 6234201 7075017 18702603 21225051 56107809 63675153 527136329 715547737 1581408987 2146643211 4744226961 6439929633 14232680883 19319788899 42698042649 57959366697 544531827857 1633595483571 4900786450713 14702359352139 44107078056417