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244113939216 = 24357196171109
BaseRepresentation
bin1110001101011001010…
…0110001101100010000
3212100002201102222200000
43203112110301230100
512444421132023331
6304051104530000
723431241150460
oct3432624615420
9770081388600
10244113939216
1194589a55704
123b389320900
131a0347a74a4
14bb5abc1ba0
15653b1db0e6
hex38d6531b10

244113939216 has 960 divisors, whose sum is σ = 886543257600. Its totient is φ = 63489484800.

The previous prime is 244113939191. The next prime is 244113939217. The reversal of 244113939216 is 612939311442.

244113939216 is a `hidden beast` number, since 2 + 4 + 41 + 1 + 393 + 9 + 216 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (244113939217) 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 191 ways as a sum of consecutive naturals, for example, 2239577370 + ... + 2239577478.

It is an arithmetic number, because the mean of its divisors is an integer number (923482560).

Almost surely, 2244113939216 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 244113939216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443271628800).

244113939216 is an abundant number, since it is smaller than the sum of its proper divisors (642429318384).

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

244113939216 is a wasteful number, since it uses less digits than its factorization.

244113939216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 244113939216 in words is "two hundred forty-four billion, one hundred thirteen million, nine hundred thirty-nine thousand, two hundred sixteen".