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14143131144 = 233365477459
BaseRepresentation
bin11010010101111111…
…10000111000001000
31100111122210111121000
431022333300320020
5212431120144034
610255224215000
71010323426332
oct151277607010
940448714530
1014143131144
115aa847983a
1228a860a460
13144517446c
149824d4452
1557b9a7599
hex34aff0e08

14143131144 has 32 divisors (see below), whose sum is σ = 39286476000. Its totient is φ = 4714376976.

The previous prime is 14143131139. The next prime is 14143131151. The reversal of 14143131144 is 44113134141.

14143131144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32738514 + ... + 32738945.

It is an arithmetic number, because the mean of its divisors is an integer number (1227702375).

Almost surely, 214143131144 is an apocalyptic number.

It is an amenable number.

14143131144 is an abundant number, since it is smaller than the sum of its proper divisors (25143344856).

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

14143131144 is a wasteful number, since it uses less digits than its factorization.

14143131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65477474 (or 65477464 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 14143131144 its reverse (44113134141), we get a palindrome (58256265285).

The spelling of 14143131144 in words is "fourteen billion, one hundred forty-three million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 65477459 130954918 196432377 261909836 392864754 523819672 589297131 785729508 1178594262 1571459016 1767891393 2357188524 3535782786 4714377048 7071565572 14143131144