Search a number
-
+
134634244608 = 293423313933
BaseRepresentation
bin111110101100011010…
…0111000101000000000
3110212111220002021010000
41331120310320220000
54201212331311413
6141503343040000
712504235124403
oct1753064705000
9425456067100
10134634244608
1152109580756
12221148a0000
13c908021ac6
146732b5bd3a
15377eb1d073
hex1f58d38a00

134634244608 has 200 divisors, whose sum is σ = 403601403348. Its totient is φ = 44682264576.

The previous prime is 134634244559. The next prime is 134634244637. The reversal of 134634244608 is 806442436431.

134634244608 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 34 + 2 + 4 + 4 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128875256064 + 5758988544 = 358992^2 + 75888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9656010 + ... + 9669942.

Almost surely, 2134634244608 is an apocalyptic number.

134634244608 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 134634244608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201800701674).

134634244608 is an abundant number, since it is smaller than the sum of its proper divisors (268967158740).

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

134634244608 is an equidigital number, since it uses as much as digits as its factorization.

134634244608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14196 (or 14171 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 134634244608 in words is "one hundred thirty-four billion, six hundred thirty-four million, two hundred forty-four thousand, six hundred eight".