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1441 = 11131
BaseRepresentation
bin10110100001
31222101
4112201
521231
610401
74126
oct2641
91871
101441
1110a0
12a01
1386b
1474d
15661
hex5a1

1441 has 4 divisors (see below), whose sum is σ = 1584. Its totient is φ = 1300.

The previous prime is 1439. The next prime is 1447.

1441 = 62 + 72 + ... + 162.

1441 is nontrivially palindromic in base 6 and base 10.

It is the 16-th star number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1441 - 21 = 1439 is a prime.

1441 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55 + ... + 76.

It is an arithmetic number, because the mean of its divisors is an integer number (396).

1441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1441 is a deficient number, since it is larger than the sum of its proper divisors (143).

1441 is a wasteful number, since it uses less digits than its factorization.

1441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its digits is 16, while the sum is 10.

The square root of 1441 is about 37.9605057922. The cubic root of 1441 is about 11.2950457307.

Subtracting from 1441 its sum of digits (10), we obtain a triangular number (1431 = T53).

It can be divided in two parts, 14 and 41, that added together give a palindrome (55).

The spelling of 1441 in words is "one thousand, four hundred forty-one", and thus it is an iban number.

Divisors: 1 11 131 1441