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1444144 = 241353131
BaseRepresentation
bin101100000100100110000
32201100222211
411200210300
5332203034
650541504
715163222
oct5404460
92640884
101444144
118a7009
12597894
133b7430
14298412
151d7d64
hex160930

1444144 has 40 divisors (see below), whose sum is σ = 3093552. Its totient is φ = 648960.

The previous prime is 1444111. The next prime is 1444181. The reversal of 1444144 is 4414441.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10959 + ... + 11089.

21444144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546776).

1444144 is an abundant number, since it is smaller than the sum of its proper divisors (1649408).

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

1444144 is a wasteful number, since it uses less digits than its factorization.

1444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 1444144 is about 1201.7254262102. The cubic root of 1444144 is about 113.0325434239.

Adding to 1444144 its reverse (4414441), we get a palindrome (5858585).

It can be divided in two parts, 1444 and 144, that multiplied together give a square (207936 = 4562).

The spelling of 1444144 in words is "one million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 131 208 212 262 424 524 689 848 1048 1378 1703 2096 2756 3406 5512 6812 6943 11024 13624 13886 27248 27772 55544 90259 111088 180518 361036 722072 1444144