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14024430420 = 223571113376311
BaseRepresentation
bin11010000111110101…
…11101001101010100
31100012101102212210220
431003322331031110
5212210223233140
610235344114340
71004352456150
oct150372751524
940171385726
1014024430420
115a47475170
1228749059b0
1314266b3a50
14970836060
1557135bbd0
hex343ebd354

14024430420 has 384 divisors, whose sum is σ = 54157565952. Its totient is φ = 2616883200.

The previous prime is 14024430379. The next prime is 14024430443. The reversal of 14024430420 is 2403442041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2219065 + ... + 2225375.

It is an arithmetic number, because the mean of its divisors is an integer number (141035328).

Almost surely, 214024430420 is an apocalyptic number.

14024430420 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 14024430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27078782976).

14024430420 is an abundant number, since it is smaller than the sum of its proper divisors (40133135532).

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

14024430420 is a wasteful number, since it uses less digits than its factorization.

14024430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14024430420 its reverse (2403442041), we get a palindrome (16427872461).

It can be divided in two parts, 14024 and 430420, that added together give a palindrome (444444).

The spelling of 14024430420 in words is "fourteen billion, twenty-four million, four hundred thirty thousand, four hundred twenty".