Search a number
-
+
13843021824 = 214361961
BaseRepresentation
bin11001110010001101…
…11100000000000000
31022201202002101000000
430321012330000000
5211322303144244
610205344000000
71000020513132
oct147106740000
938652071000
1013843021824
115964030205
122824000000
1313c7c38998
149546d3052
15560476169
hex3391bc000

13843021824 has 420 divisors, whose sum is σ = 44409770440. Its totient is φ = 4299816960.

The previous prime is 13843021793. The next prime is 13843021837. The reversal of 13843021824 is 42812034831.

It is a happy number.

13843021824 is a `hidden beast` number, since 1 + 3 + 8 + 430 + 218 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 226934754 + ... + 226934814.

Almost surely, 213843021824 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 13843021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22204885220).

13843021824 is an abundant number, since it is smaller than the sum of its proper divisors (30566748616).

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

13843021824 is an frugal number, since it uses more digits than its factorization.

13843021824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13843021824 in words is "thirteen billion, eight hundred forty-three million, twenty-one thousand, eight hundred twenty-four".