Search a number
-
+
14219189460 = 22325727920407
BaseRepresentation
bin11010011111000011…
…11001110011010100
31100200221220122222200
431033201321303110
5213110103030320
610310542324500
71012236054600
oct151741716324
940627818880
1014219189460
1160373a8553
122909b89730
131457b54698
1498c652500
155834cd290
hex34f879cd4

14219189460 has 216 divisors, whose sum is σ = 50811022080. Its totient is φ = 3208802688.

The previous prime is 14219189437. The next prime is 14219189471. The reversal of 14219189460 is 6498191241.

It is a happy number.

14219189460 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 9 + 189 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 686577 + ... + 706983.

Almost surely, 214219189460 is an apocalyptic number.

14219189460 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 14219189460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25405511040).

14219189460 is an abundant number, since it is smaller than the sum of its proper divisors (36591832620).

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

14219189460 is a wasteful number, since it uses less digits than its factorization.

14219189460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20515 (or 20503 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 14219189460 in words is "fourteen billion, two hundred nineteen million, one hundred eighty-nine thousand, four hundred sixty".