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14011401240 = 23325374722381
BaseRepresentation
bin11010000110010010…
…10000010000011000
31100011110220221010200
431003021100100120
5212143404314430
610234200542200
71004133642204
oct150311202030
940143827120
1014011401240
115a40086151
122870481960
131423aa1485
1496cc03b04
15570136460
hex343250418

14011401240 has 192 divisors, whose sum is σ = 47764978560. Its totient is φ = 3557882880.

The previous prime is 14011401223. The next prime is 14011401251. The reversal of 14011401240 is 4210411041.

14011401240 is a `hidden beast` number, since 1 + 401 + 140 + 124 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614850 + ... + 637230.

It is an arithmetic number, because the mean of its divisors is an integer number (248775930).

Almost surely, 214011401240 is an apocalyptic number.

14011401240 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 14011401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23882489280).

14011401240 is an abundant number, since it is smaller than the sum of its proper divisors (33753577320).

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

14011401240 is a wasteful number, since it uses less digits than its factorization.

14011401240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22482 (or 22475 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14011401240 its reverse (4210411041), we get a palindrome (18221812281).

The spelling of 14011401240 in words is "fourteen billion, eleven million, four hundred one thousand, two hundred forty".