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14432231232 = 2632831272377
BaseRepresentation
bin11010111000011101…
…00101111101000000
31101020210210022100200
431130032211331000
5214024122344412
610344032445200
71020433640616
oct153416457500
941223708320
1014432231232
116136688a31
1229693a9800
131490026bc3
149aca6b6b6
155970619dc
hex35c3a5f40

14432231232 has 168 divisors, whose sum is σ = 42213190656. Its totient is φ = 4713375744.

The previous prime is 14432231213. The next prime is 14432231239. The reversal of 14432231232 is 23213223441.

14432231232 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 junction number, because it is equal to n+sod(n) for n = 14432231196 and 14432231205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14432231239) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6070428 + ... + 6072804.

It is an arithmetic number, because the mean of its divisors is an integer number (251268992).

Almost surely, 214432231232 is an apocalyptic number.

14432231232 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 14432231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21106595328).

14432231232 is an abundant number, since it is smaller than the sum of its proper divisors (27780959424).

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

14432231232 is a wasteful number, since it uses less digits than its factorization.

14432231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2592 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 14432231232 its reverse (23213223441), we get a palindrome (37645454673).

The spelling of 14432231232 in words is "fourteen billion, four hundred thirty-two million, two hundred thirty-one thousand, two hundred thirty-two".