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14114532042 = 23613731012
BaseRepresentation
bin11010010010100101…
…01010101011001010
31100102122222112000000
431021102222223022
5212401310011132
610252323223430
71006525354122
oct151122525312
940378875000
1014114532042
115a93315916
12289ab17b76
13143c270010
1497c7abc82
1557920887c
hex3494aaaca

14114532042 has 168 divisors, whose sum is σ = 34999744332. Its totient is φ = 4241030400.

The previous prime is 14114532041. The next prime is 14114532073. The reversal of 14114532042 is 24023541141.

14114532042 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 453 + 204 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12356323281 + 1758208761 = 111159^2 + 41931^2 .

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 = 14114531997 and 14114532015.

It is not an unprimeable number, because it can be changed into a prime (14114532041) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 139747792 + ... + 139747892.

Almost surely, 214114532042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14114532042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17499872166).

14114532042 is an abundant number, since it is smaller than the sum of its proper divisors (20885212290).

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

14114532042 is an equidigital number, since it uses as much as digits as its factorization.

14114532042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Subtracting 14114532042 from its reverse (24023541141), we obtain a palindrome (9909009099).

The spelling of 14114532042 in words is "fourteen billion, one hundred fourteen million, five hundred thirty-two thousand, forty-two".