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14231622132 = 22337213375591
BaseRepresentation
bin11010100000100010…
…10101000111110100
31100201211022022102000
431100101111013310
5213121243402012
610312105015300
71012446535500
oct152021250764
940654268360
1014231622132
11604341a392
122912184530
13145a5b85b0
1499016b300
15584636ddc
hex3504551f4

14231622132 has 288 divisors, whose sum is σ = 47480106240. Its totient is φ = 3651298560.

The previous prime is 14231622113. The next prime is 14231622143. The reversal of 14231622132 is 23122613241.

14231622132 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 1 + 622 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 14231622096 and 14231622105.

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, 2542657 + ... + 2548247.

It is an arithmetic number, because the mean of its divisors is an integer number (164861480).

Almost surely, 214231622132 is an apocalyptic number.

14231622132 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 14231622132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23740053120).

14231622132 is an abundant number, since it is smaller than the sum of its proper divisors (33248484108).

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

14231622132 is a wasteful number, since it uses less digits than its factorization.

14231622132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5653 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The spelling of 14231622132 in words is "fourteen billion, two hundred thirty-one million, six hundred twenty-two thousand, one hundred thirty-two".