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444300101 = 729379677
BaseRepresentation
bin11010011110110…
…111101101000101
31010222000210011022
4122132313231011
51402220100401
6112030520525
714003326400
oct3236675505
91128023138
10444300101
11208883273
12104966145
137108248b
1443016d37
152901471b
hex1a7b7b45

444300101 has 12 divisors (see below), whose sum is σ = 517443948. Its totient is φ = 380382912.

The previous prime is 444300041. The next prime is 444300127. The reversal of 444300101 is 101003444.

It can be written as a sum of positive squares in 2 ways, for example, as 142444225 + 301855876 = 11935^2 + 17374^2 .

It is a de Polignac number, because none of the positive numbers 2k-444300101 is a prime.

It is a super-2 number, since 2×4443001012 = 394805159497220402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444300101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444300301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41075 + ... + 50751.

It is an arithmetic number, because the mean of its divisors is an integer number (43120329).

Almost surely, 2444300101 is an apocalyptic number.

It is an amenable number.

444300101 is a deficient number, since it is larger than the sum of its proper divisors (73143847).

444300101 is an equidigital number, since it uses as much as digits as its factorization.

444300101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10628 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 444300101 is about 21078.4273844137. The cubic root of 444300101 is about 763.0602034251.

Adding to 444300101 its reverse (101003444), we get a palindrome (545303545).

The spelling of 444300101 in words is "four hundred forty-four million, three hundred thousand, one hundred one".

Divisors: 1 7 49 937 6559 9677 45913 67739 474173 9067349 63471443 444300101