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2244110242144 = 2517192359193829
BaseRepresentation
bin100000101001111111011…
…001001101000101100000
321221112102220100000012111
4200221333121031011200
5243231414210222034
64434532514405104
7321063100220101
oct40517731150540
97845386300174
102244110242144
117957a3800861
12302b0bb90794
13133807345b34
147a888d8c3a8
153d593bd8364
hex20a7f64d160

2244110242144 has 384 divisors, whose sum is σ = 5258784384000. Its totient is φ = 934748356608.

The previous prime is 2244110242097. The next prime is 2244110242181. The reversal of 2244110242144 is 4412420114422.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2707008322 + ... + 2707009150.

It is an arithmetic number, because the mean of its divisors is an integer number (13694751000).

Almost surely, 22244110242144 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 2244110242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629392192000).

2244110242144 is an abundant number, since it is smaller than the sum of its proper divisors (3014674141856).

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

2244110242144 is a wasteful number, since it uses less digits than its factorization.

2244110242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 2244110242144 its reverse (4412420114422), we get a palindrome (6656530356566).

The spelling of 2244110242144 in words is "two trillion, two hundred forty-four billion, one hundred ten million, two hundred forty-two thousand, one hundred forty-four".