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421111441 = 205212
BaseRepresentation
bin11001000110011…
…010011010010001
31002100101200022001
4121012122122101
51330301031231
6105441514001
713302250102
oct3106323221
91070350261
10421111441
111a6785293
12b9042901
136932388a
143dcdc3a9
1526e83b61
hex1919a691

421111441 has 3 divisors (see below), whose sum is σ = 421131963. Its totient is φ = 421090920.

The previous prime is 421111433. The next prime is 421111469. The reversal of 421111441 is 144111124.

The square root of 421111441 is 20521.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 271293841 + 149817600 = 16471^2 + 12240^2 .

It is not a de Polignac number, because 421111441 - 23 = 421111433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (421111841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10261 + ... + 30781.

It is an arithmetic number, because the mean of its divisors is an integer number (140377321).

Almost surely, 2421111441 is an apocalyptic number.

421111441 is the 20521-st square number.

421111441 is the 10261-st centered octagonal number.

It is an amenable number.

421111441 is a deficient number, since it is larger than the sum of its proper divisors (20522).

421111441 is an frugal number, since it uses more digits than its factorization.

421111441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41042 (or 20521 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

The cubic root of 421111441 is about 749.5472473343.

Adding to 421111441 its reverse (144111124), we get a palindrome (565222565).

The spelling of 421111441 in words is "four hundred twenty-one million, one hundred eleven thousand, four hundred forty-one".

Divisors: 1 20521 421111441