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14215406688 = 25367263331
BaseRepresentation
bin11010011110100110…
…11110010001100000
31100200200210111000000
431033103132101200
5213103121003223
610310325300000
71012161651240
oct151723362140
940620714000
1014215406688
11603525449a
122908864600
13145712b962
1498bd49b20
15582ed2543
hex34f4de460

14215406688 has 336 divisors, whose sum is σ = 48282829056. Its totient is φ = 4033877760.

The previous prime is 14215406641. The next prime is 14215406693. The reversal of 14215406688 is 88660451241.

It is a happy number.

14215406688 is a `hidden beast` number, since 1 + 4 + 21 + 540 + 6 + 6 + 88 = 666.

14215406688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 42946683 + ... + 42947013.

It is an arithmetic number, because the mean of its divisors is an integer number (143698896).

Almost surely, 214215406688 is an apocalyptic number.

14215406688 is a gapful number since it is divisible by the number (18) 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 14215406688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24141414528).

14215406688 is an abundant number, since it is smaller than the sum of its proper divisors (34067422368).

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

14215406688 is an equidigital number, since it uses as much as digits as its factorization.

14215406688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

It can be divided in two parts, 14215 and 406688, that added together give a triangular number (420903 = T917).

The spelling of 14215406688 in words is "fourteen billion, two hundred fifteen million, four hundred six thousand, six hundred eighty-eight".