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14032020420 = 2235511318467
BaseRepresentation
bin11010001000101111…
…11010001111000100
31100012220201111100000
431010113322033010
5212214144123140
610240214521300
71004504130345
oct150427721704
940186644300
1014032020420
115a507896a0
122877366230
131428140682
149718500cc
15571d5aa30
hex3445fa3c4

14032020420 has 288 divisors, whose sum is σ = 49712173056. Its totient is φ = 3291580800.

The previous prime is 14032020349. The next prime is 14032020427. The reversal of 14032020420 is 2402023041.

14032020420 is a `hidden beast` number, since 1 + 40 + 3 + 202 + 0 + 420 = 666.

14032020420 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 14032020393 and 14032020402.

It is not an unprimeable number, because it can be changed into a prime (14032020427) 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 95 ways as a sum of consecutive naturals, for example, 1653027 + ... + 1661493.

It is an arithmetic number, because the mean of its divisors is an integer number (172611712).

Almost surely, 214032020420 is an apocalyptic number.

14032020420 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 14032020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24856086528).

14032020420 is an abundant number, since it is smaller than the sum of its proper divisors (35680152636).

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

14032020420 is a wasteful number, since it uses less digits than its factorization.

14032020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8533 (or 8519 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 14032020420 its reverse (2402023041), we get a palindrome (16434043461).

The spelling of 14032020420 in words is "fourteen billion, thirty-two million, twenty thousand, four hundred twenty".