Search a number
-
+
13441014720 = 2633573167107
BaseRepresentation
bin11001000010010010…
…11001101111000000
31021200201122021221000
430201021121233000
5210011344432340
610101423332000
7654036511560
oct144111315700
937621567830
1013441014720
115778114331
122731451000
131362873963
14917168da0
1553a017d30
hex321259bc0

13441014720 has 896 divisors, whose sum is σ = 57304350720. Its totient is φ = 2901381120.

The previous prime is 13441014701. The next prime is 13441014721. The reversal of 13441014720 is 2741014431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13441014721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125616907 + ... + 125617013.

Almost surely, 213441014720 is an apocalyptic number.

13441014720 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 13441014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28652175360).

13441014720 is an abundant number, since it is smaller than the sum of its proper divisors (43863336000).

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

13441014720 is a wasteful number, since it uses less digits than its factorization.

13441014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

It can be divided in two parts, 1344 and 1014720, that added together give a square (1016064 = 10082).

The spelling of 13441014720 in words is "thirteen billion, four hundred forty-one million, fourteen thousand, seven hundred twenty".