Search a number
-
+
424120003344 = 2435891518117
BaseRepresentation
bin1100010101111111000…
…01011010101100010000
31111112201122121111100000
412022333201122230100
523422044210101334
6522501003330000
742433042355322
oct6127741325420
91445648544300
10424120003344
11153960759964
126a244b20900
1330cc0762c7b
1416755719612
15b0741e1299
hex62bf85ab10

424120003344 has 240 divisors, whose sum is σ = 1253136044160. Its totient is φ = 138842035200.

The previous prime is 424120003331. The next prime is 424120003429. The reversal of 424120003344 is 443300021424.

It is a happy number.

424120003344 is a `hidden beast` number, since 424 + 1 + 200 + 0 + 3 + 34 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52246774 + ... + 52254890.

It is an arithmetic number, because the mean of its divisors is an integer number (5221400184).

Almost surely, 2424120003344 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 424120003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626568022080).

424120003344 is an abundant number, since it is smaller than the sum of its proper divisors (829016040816).

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

424120003344 is a wasteful number, since it uses less digits than its factorization.

424120003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 424120003344 its reverse (443300021424), we get a palindrome (867420024768).

The spelling of 424120003344 in words is "four hundred twenty-four billion, one hundred twenty million, three thousand, three hundred forty-four".