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4441414047 = 3735038581
BaseRepresentation
bin1000010001011101…
…01001100110011111
3102110112022012200120
410020232221212133
533044000222142
62012414530023
7215030253000
oct41056514637
912415265616
104441414047
11197a076124
12a3b506913
1355a203365
14301c191a7
151aedb97ec
hex108ba999f

4441414047 has 32 divisors (see below), whose sum is σ = 6920524800. Its totient is φ = 2532610080.

The previous prime is 4441414039. The next prime is 4441414063. The reversal of 4441414047 is 7404141444.

4441414047 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4441414047 - 23 = 4441414039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4441413999 and 4441414017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441414007) 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 31 ways as a sum of consecutive naturals, for example, 513297 + ... + 521877.

It is an arithmetic number, because the mean of its divisors is an integer number (216266400).

Almost surely, 24441414047 is an apocalyptic number.

4441414047 is a deficient number, since it is larger than the sum of its proper divisors (2479110753).

4441414047 is an equidigital number, since it uses as much as digits as its factorization.

4441414047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9108 (or 9094 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 4441414047 is about 66643.9348103036. The cubic root of 4441414047 is about 1643.7676177865.

The spelling of 4441414047 in words is "four billion, four hundred forty-one million, four hundred fourteen thousand, forty-seven".

Divisors: 1 3 7 21 49 147 343 503 1029 1509 3521 8581 10563 24647 25743 60067 73941 172529 180201 420469 517587 1261407 2943283 4316243 8829849 12948729 30213701 90641103 211495907 634487721 1480471349 4441414047