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244322020223442 = 232723233857422209
BaseRepresentation
bin110111100011010110100111…
…001110011110100111010010
31012001001221211200010001101100
4313203112213032132213102
5224010432444134122232
62223343553034445230
7102314453265205230
oct6743264716364722
91161057750101340
10244322020223442
1170937428a55057
122349b2b2293816
13a643610563985
14444936aca7950
151d3a59a6eac7c
hexde35a739e9d2

244322020223442 has 192 divisors, whose sum is σ = 634742380546560. Its totient is φ = 66406927859712.

The previous prime is 244322020223431. The next prime is 244322020223447.

244322020223442 is a `hidden beast` number, since 2 + 4 + 4 + 3 + 2 + 2 + 0 + 202 + 2 + 3 + 442 = 666.

244322020223442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 244322020223397 and 244322020223406.

It is not an unprimeable number, because it can be changed into a prime (244322020223447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 578464434 + ... + 578886642.

It is an arithmetic number, because the mean of its divisors is an integer number (3305949898680).

Almost surely, 2244322020223442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244322020223442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317371190273280).

244322020223442 is an abundant number, since it is smaller than the sum of its proper divisors (390420360323118).

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

244322020223442 is a wasteful number, since it uses less digits than its factorization.

244322020223442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423337 (or 423334 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 244322020223442 in words is "two hundred forty-four trillion, three hundred twenty-two billion, twenty million, two hundred twenty-three thousand, four hundred forty-two".