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14444221131 = 33929575857
BaseRepresentation
bin11010111001111000…
…10101001011001011
31101021122100110102000
431130330111023023
5214040210034011
610345141442043
71020640565604
oct153474251313
941248313360
1014444221131
11614242813a
122971410323
131492664412
149b04acdab
1559812e356
hex35cf152cb

14444221131 has 16 divisors (see below), whose sum is σ = 21421917600. Its totient is φ = 9619098624.

The previous prime is 14444221109. The next prime is 14444221153. The reversal of 14444221131 is 13112244441.

14444221131 is a `hidden beast` number, since 1 + 4 + 4 + 442 + 211 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (14444221109) and next prime (14444221153).

It is not a de Polignac number, because 14444221131 - 233 = 5854286539 is a prime.

It is a super-2 number, since 2×144442211312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14444221095 and 14444221104.

It is not an unprimeable number, because it can be changed into a prime (14444221531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262846 + ... + 313011.

It is an arithmetic number, because the mean of its divisors is an integer number (1338869850).

Almost surely, 214444221131 is an apocalyptic number.

14444221131 is a deficient number, since it is larger than the sum of its proper divisors (6977696469).

14444221131 is an equidigital number, since it uses as much as digits as its factorization.

14444221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576795 (or 576789 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 14444221131 its reverse (13112244441), we get a palindrome (27556465572).

The spelling of 14444221131 in words is "fourteen billion, four hundred forty-four million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 929 2787 8361 25083 575857 1727571 5182713 15548139 534971153 1604913459 4814740377 14444221131