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244122240240 = 243251960729399
BaseRepresentation
bin1110001101011011010…
…0011100010011110000
3212100010022001201112100
43203112310130103300
512444430243141430
6304052002500400
723431401542634
oct3432664342360
9770108051470
10244122240240
119459370535a
123b390064700
131a036422938
14bb5bd42dc4
15653bcca960
hex38d6d1c4f0

244122240240 has 240 divisors, whose sum is σ = 864444672000. Its totient is φ = 61569289728.

The previous prime is 244122240223. The next prime is 244122240247. The reversal of 244122240240 is 42042221442.

244122240240 is a `hidden beast` number, since 2 + 4 + 412 + 2 + 2 + 4 + 0 + 240 = 666.

244122240240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244122240247) by changing a digit.

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, 8289061 + ... + 8318459.

It is an arithmetic number, because the mean of its divisors is an integer number (3601852800).

Almost surely, 2244122240240 is an apocalyptic number.

244122240240 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 244122240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432222336000).

244122240240 is an abundant number, since it is smaller than the sum of its proper divisors (620322431760).

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

244122240240 is a wasteful number, since it uses less digits than its factorization.

244122240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30044 (or 30035 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 244122240240 its reverse (42042221442), we get a palindrome (286164461682).

The spelling of 244122240240 in words is "two hundred forty-four billion, one hundred twenty-two million, two hundred forty thousand, two hundred forty".