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14120060400 = 2433526121433
BaseRepresentation
bin11010010011001111…
…10000010111110000
31100110001101101111000
431021213300113300
5212404213413100
610253041522000
71006623350565
oct151147602760
940401341430
1014120060400
115a96451406
1228a0943300
131440457434
1497d40a86c
1557994b900
hex3499f05f0

14120060400 has 240 divisors, whose sum is σ = 51083223520. Its totient is φ = 3703449600.

The previous prime is 14120060369. The next prime is 14120060411. The reversal of 14120060400 is 406002141.

14120060400 is a `hidden beast` number, since 1 + 4 + 1 + 200 + 60 + 400 = 666.

14120060400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×141200604002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 648084 + ... + 669516.

Almost surely, 214120060400 is an apocalyptic number.

14120060400 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 14120060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25541611760).

14120060400 is an abundant number, since it is smaller than the sum of its proper divisors (36963163120).

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

14120060400 is a wasteful number, since it uses less digits than its factorization.

14120060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21521 (or 21504 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14120060400 its reverse (406002141), we get a palindrome (14526062541).

The spelling of 14120060400 in words is "fourteen billion, one hundred twenty million, sixty thousand, four hundred".