Search a number
-
+
244312022340144 = 24321123926910392309
BaseRepresentation
bin110111100011001101010011…
…010011100101001000110000
31012001001000000220022221211100
4313203031103103211020300
5224010302010204341034
62223335221005244400
7102313650444460353
oct6743152323451060
91161030026287740
10244312022340144
1170933168456390
1223499381b63700
13a6426a9137ab5
144448a9d13629a
151d3a1b2b0a099
hexde33534e5230

244312022340144 has 480 divisors, whose sum is σ = 752846814720000. Its totient is φ = 73347640289280.

The previous prime is 244312022340137. The next prime is 244312022340179. The reversal of 244312022340144 is 441043220213442.

244312022340144 is a `hidden beast` number, since 2 + 4 + 4 + 3 + 1 + 20 + 223 + 401 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 244312022340099 and 244312022340108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105808583662 + ... + 105808585970.

It is an arithmetic number, because the mean of its divisors is an integer number (1568430864000).

Almost surely, 2244312022340144 is an apocalyptic number.

244312022340144 is a gapful number since it is divisible by the number (24) 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 244312022340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376423407360000).

244312022340144 is an abundant number, since it is smaller than the sum of its proper divisors (508534792379856).

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

244312022340144 is a wasteful number, since it uses less digits than its factorization.

244312022340144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 244312022340144 its reverse (441043220213442), we get a palindrome (685355242553586).

The spelling of 244312022340144 in words is "two hundred forty-four trillion, three hundred twelve billion, twenty-two million, three hundred forty thousand, one hundred forty-four".