Search a number
-
+
129718344000 = 2635372359569
BaseRepresentation
bin111100011001111010…
…0001101100101000000
3110101211021221122020010
41320303310031211000
54111130344002000
6135331454144520
712241353505560
oct1706364154500
9411737848203
10129718344000
1150016694883
12211824b2140
13c30372a48b
1463c7d0cda0
153593279d50
hex1e33d0d940

129718344000 has 896 divisors, whose sum is σ = 520374067200. Its totient is φ = 27831091200.

The previous prime is 129718343983. The next prime is 129718344013. The reversal of 129718344000 is 443817921.

It is a self number, because there is not a number n which added to its sum of digits gives 129718344000.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 227975716 + ... + 227976284.

Almost surely, 2129718344000 is an apocalyptic number.

129718344000 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 129718344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260187033600).

129718344000 is an abundant number, since it is smaller than the sum of its proper divisors (390655723200).

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

129718344000 is a wasteful number, since it uses less digits than its factorization.

129718344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 129718344000 in words is "one hundred twenty-nine billion, seven hundred eighteen million, three hundred forty-four thousand".