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14031231120 = 24325672391217
BaseRepresentation
bin11010001000101001…
…11001100010010000
31100012212020101121200
431010110321202100
5212213443343440
610240145551200
71004464332234
oct150424714220
940185211550
1014031231120
115a5029a685
122877045500
131427c2532a
149716c65c4
15571c51c30
hex344539890

14031231120 has 240 divisors, whose sum is σ = 48064423680. Its totient is φ = 3667378176.

The previous prime is 14031231089. The next prime is 14031231127. The reversal of 14031231120 is 2113213041.

14031231120 is a `hidden beast` number, since 1 + 40 + 312 + 311 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14031231093 and 14031231102.

It is not an unprimeable number, because it can be changed into a prime (14031231127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11528752 + ... + 11529968.

It is an arithmetic number, because the mean of its divisors is an integer number (200268432).

Almost surely, 214031231120 is an apocalyptic number.

14031231120 is a gapful number since it is divisible by the number (10) 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 14031231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24032211840).

14031231120 is an abundant number, since it is smaller than the sum of its proper divisors (34033192560).

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

14031231120 is a wasteful number, since it uses less digits than its factorization.

14031231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14031231120 its reverse (2113213041), we get a palindrome (16144444161).

The spelling of 14031231120 in words is "fourteen billion, thirty-one million, two hundred thirty-one thousand, one hundred twenty".