Search a number
-
+
134283356064 = 253311131957203
BaseRepresentation
bin111110100001111101…
…0010110011110100000
3110211121102211021112000
41331003322112132200
54200003014343224
6141404450204000
712462444456624
oct1750372263640
9424542737460
10134283356064
1151a494a9a20
1222037283600
13c880417350
1466dc2dd184
15375de0b0c9
hex1f43e967a0

134283356064 has 384 divisors, whose sum is σ = 484357708800. Its totient is φ = 35584220160.

The previous prime is 134283356063. The next prime is 134283356071. The reversal of 134283356064 is 460653382431.

134283356064 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 8 + 3 + 35 + 606 + 4 = 666.

It is a super-2 number, since 2×1342833560642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134283356063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2318887 + ... + 2376089.

It is an arithmetic number, because the mean of its divisors is an integer number (1261348200).

Almost surely, 2134283356064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134283356064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242178854400).

134283356064 is an abundant number, since it is smaller than the sum of its proper divisors (350074352736).

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

134283356064 is a wasteful number, since it uses less digits than its factorization.

134283356064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57265 (or 57251 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 134283356064 in words is "one hundred thirty-four billion, two hundred eighty-three million, three hundred fifty-six thousand, sixty-four".