Search a number
-
+
14220474912 = 2533719472633
BaseRepresentation
bin11010011111001101…
…10011101000100000
31100201001022222022000
431033212303220200
5213110420144122
610311030044000
71012253020350
oct151746635040
940631288260
1014220474912
1160380a6306
12290a4a9600
1314581b47c7
1498c8a8b60
155836840ac
hex34f9b3a20

14220474912 has 384 divisors, whose sum is σ = 50977382400. Its totient is φ = 3765823488.

The previous prime is 14220474901. The next prime is 14220474923. The reversal of 14220474912 is 21947402241.

It is a happy number.

14220474912 is a `hidden beast` number, since 142 + 20 + 4 + 7 + 491 + 2 = 666.

14220474912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14220474901) and next prime (14220474923).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 5399548 + ... + 5402180.

It is an arithmetic number, because the mean of its divisors is an integer number (132753600).

Almost surely, 214220474912 is an apocalyptic number.

14220474912 is a gapful number since it is divisible by the number (12) 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 14220474912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25488691200).

14220474912 is an abundant number, since it is smaller than the sum of its proper divisors (36756907488).

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

14220474912 is a wasteful number, since it uses less digits than its factorization.

14220474912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14220474912 in words is "fourteen billion, two hundred twenty million, four hundred seventy-four thousand, nine hundred twelve".