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14113330212330 = 23352337269228341
BaseRepresentation
bin1100110101100000010000…
…0010001010110111101010
31211222012222020201020122000
43031120010002022313222
53322213100013243310
650003324022511430
72654440323304626
oct315300402126752
954865866636560
1014113330212330
11455147aa75598
1216bb311895576
137b4b5c38099b
1436b135a54186
151971c05654c0
hexcd60408adea

14113330212330 has 256 divisors, whose sum is σ = 40483392537600. Its totient is φ = 3489590522880.

The previous prime is 14113330212257. The next prime is 14113330212347. The reversal of 14113330212330 is 3321203331141.

14113330212330 is a `hidden beast` number, since 1 + 4 + 1 + 13 + 3 + 302 + 12 + 330 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14113330212294 and 14113330212303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61693960 + ... + 61922300.

It is an arithmetic number, because the mean of its divisors is an integer number (158138252100).

Almost surely, 214113330212330 is an apocalyptic number.

14113330212330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14113330212330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20241696268800).

14113330212330 is an abundant number, since it is smaller than the sum of its proper divisors (26370062325270).

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

14113330212330 is a wasteful number, since it uses less digits than its factorization.

14113330212330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228686 (or 228680 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 14113330212330 its reverse (3321203331141), we get a palindrome (17434533543471).

The spelling of 14113330212330 in words is "fourteen trillion, one hundred thirteen billion, three hundred thirty million, two hundred twelve thousand, three hundred thirty".