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14024120832 = 2932231131171
BaseRepresentation
bin11010000111110011…
…10001101000000000
31100012100212011010200
431003321301220000
5212210133331312
610235333325200
71004350026441
oct150371615000
940170764120
1014024120832
115a47283607
122874796800
131426605b67
149707952c8
155712ea0dc
hex343e71a00

14024120832 has 240 divisors, whose sum is σ = 42644467008. Its totient is φ = 4428103680.

The previous prime is 14024120827. The next prime is 14024120833. The reversal of 14024120832 is 23802142041.

It is a super-2 number, since 2×140241208322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14024120796 and 14024120805.

It is not an unprimeable number, because it can be changed into a prime (14024120833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11975607 + ... + 11976777.

Almost surely, 214024120832 is an apocalyptic number.

14024120832 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 14024120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21322233504).

14024120832 is an abundant number, since it is smaller than the sum of its proper divisors (28620346176).

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

14024120832 is a wasteful number, since it uses less digits than its factorization.

14024120832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14024120832 its reverse (23802142041), we get a palindrome (37826262873).

The spelling of 14024120832 in words is "fourteen billion, twenty-four million, one hundred twenty thousand, eight hundred thirty-two".