Search a number
-
+
5444205120 = 2632517231211
BaseRepresentation
bin1010001000111111…
…11111101001000000
3112001102020021102200
411010133333221000
542122204030440
62300120113200
7251624660064
oct50437775100
915042207380
105444205120
112344125982
12107b305800
13689ba9a63
14399091aa4
1521ce4cc30
hex1447ffa40

5444205120 has 504 divisors, whose sum is σ = 20631107328. Its totient is φ = 1316044800.

The previous prime is 5444205031. The next prime is 5444205127. The reversal of 5444205120 is 215024445.

5444205120 is a `hidden beast` number, since 5 + 444 + 205 + 12 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5444205127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25801815 + ... + 25802025.

Almost surely, 25444205120 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 5444205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315553664).

5444205120 is an abundant number, since it is smaller than the sum of its proper divisors (15186902208).

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

5444205120 is a wasteful number, since it uses less digits than its factorization.

5444205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5444205120 is about 73784.8569829880. The cubic root of 5444205120 is about 1759.1849187257.

Adding to 5444205120 its reverse (215024445), we get a palindrome (5659229565).

The spelling of 5444205120 in words is "five billion, four hundred forty-four million, two hundred five thousand, one hundred twenty".