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14412231132 = 2231397794561
BaseRepresentation
bin11010110110000100…
…10011000111011100
31101012102011012101020
431123002103013130
5214004012344012
610342040044140
71020101641365
oct153302230734
941172135336
1014412231132
116126368622
122962763650
131488b43720
149aa142b6c
15595410a8c
hex35b0931dc

14412231132 has 48 divisors (see below), whose sum is σ = 36252801312. Its totient is φ = 4429946880.

The previous prime is 14412231121. The next prime is 14412231167. The reversal of 14412231132 is 23113221441.

14412231132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 105132 + ... + 199692.

It is an arithmetic number, because the mean of its divisors is an integer number (755266694).

Almost surely, 214412231132 is an apocalyptic number.

14412231132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14412231132 is an abundant number, since it is smaller than the sum of its proper divisors (21840570180).

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

14412231132 is a wasteful number, since it uses less digits than its factorization.

14412231132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95558 (or 95556 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 14412231132 its reverse (23113221441), we get a palindrome (37525452573).

The spelling of 14412231132 in words is "fourteen billion, four hundred twelve million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 977 1954 2931 3908 5862 11724 12701 25402 38103 50804 76206 94561 152412 189122 283683 378244 567366 1134732 1229293 2458586 3687879 4917172 7375758 14751516 92386097 184772194 277158291 369544388 554316582 1108633164 1201019261 2402038522 3603057783 4804077044 7206115566 14412231132