Search a number
-
+
13294344840 = 2335721926263
BaseRepresentation
bin11000110000110011…
…11001101010001000
31021022111122200200020
430120121321222020
5204211323013330
610035103540440
7650306031600
oct143031715210
937274580606
1013294344840
115702347057
1226b02ba720
13133b36c74a
149018a9c00
1552c1e5210
hex318679a88

13294344840 has 288 divisors, whose sum is σ = 48972703680. Its totient is φ = 2878315776.

The previous prime is 13294344799. The next prime is 13294344841. The reversal of 13294344840 is 4844349231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13294344792 and 13294344801.

It is not an unprimeable number, because it can be changed into a prime (13294344841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2119549 + ... + 2125811.

It is an arithmetic number, because the mean of its divisors is an integer number (170044110).

Almost surely, 213294344840 is an apocalyptic number.

13294344840 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 13294344840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24486351840).

13294344840 is an abundant number, since it is smaller than the sum of its proper divisors (35678358840).

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

13294344840 is a wasteful number, since it uses less digits than its factorization.

13294344840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 13294344840 in words is "thirteen billion, two hundred ninety-four million, three hundred forty-four thousand, eight hundred forty".