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14432430012 = 223721113374639
BaseRepresentation
bin11010111000011110…
…10110011110111100
31101020211011102000220
431130033112132330
5214024200230022
610344041021340
71020435426300
oct153417263674
941224142026
1014432430012
116136804310
122969484850
131490096520
149acabdd00
155970a085c
hex35c3d67bc

14432430012 has 288 divisors, whose sum is σ = 47276328960. Its totient is φ = 3366074880.

The previous prime is 14432429927. The next prime is 14432430031. The reversal of 14432430012 is 21003423441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3108789 + ... + 3113427.

It is an arithmetic number, because the mean of its divisors is an integer number (164153920).

Almost surely, 214432430012 is an apocalyptic number.

14432430012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14432430012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23638164480).

14432430012 is an abundant number, since it is smaller than the sum of its proper divisors (32843898948).

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

14432430012 is a wasteful number, since it uses less digits than its factorization.

14432430012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14432430012 its reverse (21003423441), we get a palindrome (35435853453).

It can be divided in two parts, 14432 and 430012, that added together give a palindrome (444444).

The spelling of 14432430012 in words is "fourteen billion, four hundred thirty-two million, four hundred thirty thousand, twelve".