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14288241 = 3113113967
BaseRepresentation
bin110110100000…
…010101110001
3222212220210010
4312200111301
512124210431
61230125133
7232306452
oct66402561
928786703
1014288241
118079a70
1249507a9
132c636a6
141c7d129
1513c3846
hexda0571

14288241 has 16 divisors (see below), whose sum is σ = 21454848. Its totient is φ = 8379600.

The previous prime is 14288237. The next prime is 14288249.

14288241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14288241 - 22 = 14288237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14288199 and 14288208.

It is not an unprimeable number, because it can be changed into a prime (14288249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5961 + ... + 8006.

It is an arithmetic number, because the mean of its divisors is an integer number (1340928).

Almost surely, 214288241 is an apocalyptic number.

14288241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14288241 is a deficient number, since it is larger than the sum of its proper divisors (7166607).

14288241 is a wasteful number, since it uses less digits than its factorization.

14288241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14012.

The product of its digits is 4096, while the sum is 30.

The square root of 14288241 is about 3779.9789681955. The cubic root of 14288241 is about 242.6570548847.

It can be divided in two parts, 1428 and 8241, that added together give a palindrome (9669).

The spelling of 14288241 in words is "fourteen million, two hundred eighty-eight thousand, two hundred forty-one".

Divisors: 1 3 11 31 33 93 341 1023 13967 41901 153637 432977 460911 1298931 4762747 14288241