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444240144 = 24323085001
BaseRepresentation
bin11010011110101…
…001000100010000
31010221220201220200
4122132221010100
51402211141034
6112025335200
714002656525
oct3236510420
91127821820
10444240144
11208842217
12104937500
13710610ba
1442ddd14c
1529001a99
hex1a7a9110

444240144 has 30 divisors (see below), whose sum is σ = 1243255806. Its totient is φ = 148080000.

The previous prime is 444240143. The next prime is 444240161. The reversal of 444240144 is 441042444.

It can be written as a sum of positive squares in only one way, i.e., 243734544 + 200505600 = 15612^2 + 14160^2 .

It is a super-2 number, since 2×4442401442 = 394698611082281472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444240143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1542357 + ... + 1542644.

Almost surely, 2444240144 is an apocalyptic number.

It is an amenable number.

444240144 is an abundant number, since it is smaller than the sum of its proper divisors (799015662).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444240144 is a wasteful number, since it uses less digits than its factorization.

444240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085015 (or 3085006 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 444240144 is about 21077.0051003457. The cubic root of 444240144 is about 763.0258776330.

Adding to 444240144 its reverse (441042444), we get a palindrome (885282588).

The spelling of 444240144 in words is "four hundred forty-four million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3085001 6170002 9255003 12340004 18510006 24680008 27765009 37020012 49360016 55530018 74040024 111060036 148080048 222120072 444240144