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444024141 = 31121223207
BaseRepresentation
bin11010011101110…
…100010101001101
31010221111202121120
4122131310111031
51402132233031
6112020551153
714001100011
oct3235642515
91127452546
10444024141
11208704a00
121048524b9
1370cb69a2
1442d84541
1528eaca96
hex1a77454d

444024141 has 12 divisors (see below), whose sum is σ = 650746656. Its totient is φ = 269105320.

The previous prime is 444024083. The next prime is 444024157. The reversal of 444024141 is 141420444.

It is a happy number.

It is not a de Polignac number, because 444024141 - 219 = 443499853 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444024041) 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, 611241 + ... + 611966.

It is an arithmetic number, because the mean of its divisors is an integer number (54228888).

Almost surely, 2444024141 is an apocalyptic number.

It is an amenable number.

444024141 is a deficient number, since it is larger than the sum of its proper divisors (206722515).

444024141 is a wasteful number, since it uses less digits than its factorization.

444024141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223232 (or 1223221 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 444024141 is about 21071.8803384985. The cubic root of 444024141 is about 762.9021888272.

Adding to 444024141 its reverse (141420444), we get a palindrome (585444585).

The spelling of 444024141 in words is "four hundred forty-four million, twenty-four thousand, one hundred forty-one".

Divisors: 1 3 11 33 121 363 1223207 3669621 13455277 40365831 148008047 444024141