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14132244042 = 23371953137271
BaseRepresentation
bin11010010100101100…
…01110111001001010
31100110220022101022000
431022112032321022
5212420323302132
610254155011430
71010132043450
oct151226167112
940426271260
1014132244042
115aa2313134
1228a4a39b76
131442b31ba7
14980c9c9d0
1557aa5687c
hex34a58ee4a

14132244042 has 256 divisors, whose sum is σ = 38917324800. Its totient is φ = 3711951360.

The previous prime is 14132244037. The next prime is 14132244043. The reversal of 14132244042 is 24044223141.

14132244042 is a `hidden beast` number, since 1 + 413 + 2 + 244 + 0 + 4 + 2 = 666.

14132244042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 14132243997 and 14132244015.

It is not an unprimeable number, because it can be changed into a prime (14132244043) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 52148367 + ... + 52148637.

It is an arithmetic number, because the mean of its divisors is an integer number (152020800).

Almost surely, 214132244042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14132244042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458662400).

14132244042 is an abundant number, since it is smaller than the sum of its proper divisors (24785080758).

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

14132244042 is a wasteful number, since it uses less digits than its factorization.

14132244042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14132244042 its reverse (24044223141), we get a palindrome (38176467183).

The spelling of 14132244042 in words is "fourteen billion, one hundred thirty-two million, two hundred forty-four thousand, forty-two".