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14044442430 = 23531103146617
BaseRepresentation
bin11010001010001110…
…10010111100111110
31100020210002121010110
431011013102330332
5212230334124210
610241341050450
71005014535204
oct150507227476
940223077113
1014044442430
115a577a3517
12287b556a26
13142a89c785
14973365074
15572eb1420
hex3451d2f3e

14044442430 has 64 divisors (see below), whose sum is σ = 35132018688. Its totient is φ = 3589159680.

The previous prime is 14044442371. The next prime is 14044442431. The reversal of 14044442430 is 3424444041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044442431) 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 31 ways as a sum of consecutive naturals, for example, 22482 + ... + 169098.

It is an arithmetic number, because the mean of its divisors is an integer number (548937792).

Almost surely, 214044442430 is an apocalyptic number.

14044442430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14044442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566009344).

14044442430 is an abundant number, since it is smaller than the sum of its proper divisors (21087576258).

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

14044442430 is a wasteful number, since it uses less digits than its factorization.

14044442430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146761.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 14044442430 its reverse (3424444041), we get a palindrome (17468886471).

The spelling of 14044442430 in words is "fourteen billion, forty-four million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 103 155 186 206 309 310 465 515 618 930 1030 1545 3090 3193 6386 9579 15965 19158 31930 47895 95790 146617 293234 439851 733085 879702 1466170 2199255 4398510 4545127 9090254 13635381 15101551 22725635 27270762 30203102 45304653 45451270 68176905 75507755 90609306 136353810 151015510 226523265 453046530 468148081 936296162 1404444243 2340740405 2808888486 4681480810 7022221215 14044442430