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4441414097 = 731011374397
BaseRepresentation
bin1000010001011101…
…01001100111010001
3102110112022012202102
410020232221213101
533044000222342
62012414530145
7215030253101
oct41056514721
912415265672
104441414097
11197a07616a
12a3b506955
1355a2033a3
14301c19201
151aedb9832
hex108ba99d1

4441414097 has 16 divisors (see below), whose sum is σ = 4581062352. Its totient is φ = 4304563200.

The previous prime is 4441414073. The next prime is 4441414111. The reversal of 4441414097 is 7904141444.

It can be written as a sum of positive squares in 8 ways, for example, as 553143361 + 3888270736 = 23519^2 + 62356^2 .

It is a cyclic number.

It is not a de Polignac number, because 4441414097 - 220 = 4440365521 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4441414097.

It is not an unprimeable number, because it can be changed into a prime (4441414007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007903 + ... + 1012299.

It is an arithmetic number, because the mean of its divisors is an integer number (286316397).

Almost surely, 24441414097 is an apocalyptic number.

It is an amenable number.

4441414097 is a deficient number, since it is larger than the sum of its proper divisors (139648255).

4441414097 is a wasteful number, since it uses less digits than its factorization.

4441414097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708.

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 4441414097 is about 66643.9351854315. The cubic root of 4441414097 is about 1643.7676239548.

The spelling of 4441414097 in words is "four billion, four hundred forty-one million, four hundred fourteen thousand, ninety-seven".

Divisors: 1 73 101 137 4397 7373 10001 13837 320981 444097 602389 1010101 32419081 43974397 60841289 4441414097