Search a number
-
+
14032434304 = 277172471153
BaseRepresentation
bin11010001000110010…
…11111010010000000
31100012221111112002001
431010121133102000
5212214300344204
610240231433344
71004510503120
oct150431372200
940187445061
1014032434304
115a50a41649
122877525854
131428256b85
1497191ac80
15571ddd4a4
hex34465f480

14032434304 has 192 divisors, whose sum is σ = 34690901760. Its totient is φ = 5534908416.

The previous prime is 14032434277. The next prime is 14032434319. The reversal of 14032434304 is 40343423041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12169792 + ... + 12170944.

It is an arithmetic number, because the mean of its divisors is an integer number (180681780).

Almost surely, 214032434304 is an apocalyptic number.

14032434304 is a gapful number since it is divisible by the number (14) 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 14032434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345450880).

14032434304 is an abundant number, since it is smaller than the sum of its proper divisors (20658467456).

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

14032434304 is a wasteful number, since it uses less digits than its factorization.

14032434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 14032434304 its reverse (40343423041), we get a palindrome (54375857345).

The spelling of 14032434304 in words is "fourteen billion, thirty-two million, four hundred thirty-four thousand, three hundred four".