Search a number
-
+
244244321310240 = 25325976661262513
BaseRepresentation
bin110111100010001110010000…
…000000101001011000100000
31012000210112021200220022001100
4313202032100000221120200
5224003144332223411430
62223244143041234400
7102306032654302416
oct6742162000513040
91160715250808040
10244244321310240
1170907486a415a9
1223488229032a00
13a6391aa0948a4
1444456b99a12b6
151d3854e265960
hexde2390029620

244244321310240 has 288 divisors, whose sum is σ = 842205989557296. Its totient is φ = 64450434170880.

The previous prime is 244244321310229. The next prime is 244244321310259. The reversal of 244244321310240 is 42013123442442.

244244321310240 is a `hidden beast` number, since 2 + 4 + 42 + 4 + 43 + 21 + 310 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 187659203663376 + 56585117646864 = 13698876^2 + 7522308^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 = 244244321310195 and 244244321310204.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 930277224 + ... + 930539736.

Almost surely, 2244244321310240 is an apocalyptic number.

244244321310240 is a gapful number since it is divisible by the number (20) 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 244244321310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421102994778648).

244244321310240 is an abundant number, since it is smaller than the sum of its proper divisors (597961668247056).

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

244244321310240 is a wasteful number, since it uses less digits than its factorization.

244244321310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269292 (or 269281 counting only the distinct ones).

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

Adding to 244244321310240 its reverse (42013123442442), we get a palindrome (286257444752682).

The spelling of 244244321310240 in words is "two hundred forty-four trillion, two hundred forty-four billion, three hundred twenty-one million, three hundred ten thousand, two hundred forty".