Search a number
-
+
13439043072 = 29357131187
BaseRepresentation
bin11001000010000011…
…11000011000000000
31021200120221010100000
430201001320120000
5210010343334242
610101313200000
7654013660410
oct144101703000
937616833300
1013439043072
115776a97a74
122730860000
1313623333c0
14916bb4640
15539c78a4c
hex321078600

13439043072 has 480 divisors, whose sum is σ = 49546328832. Its totient is φ = 3541377024.

The previous prime is 13439043067. The next prime is 13439043073. The reversal of 13439043072 is 27034093431.

13439043072 is a `hidden beast` number, since 1 + 343 + 9 + 0 + 4 + 307 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13439043073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11321263 + ... + 11322449.

Almost surely, 213439043072 is an apocalyptic number.

13439043072 is a gapful number since it is divisible by the number (12) 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 13439043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24773164416).

13439043072 is an abundant number, since it is smaller than the sum of its proper divisors (36107285760).

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

13439043072 is an equidigital number, since it uses as much as digits as its factorization.

13439043072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13439043072 in words is "thirteen billion, four hundred thirty-nine million, forty-three thousand, seventy-two".