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244000100442 = 2373141103199223
BaseRepresentation
bin1110001100111110001…
…0100001000001011010
3212022210210020101020010
43203033202201001122
512444203011203232
6304031520542350
723425356430140
oct3431742410132
9768723211203
10244000100442
119453077197a
123b3571819b6
131a017029a77
14bb49a2b590
1565312010cc
hex38cf8a105a

244000100442 has 256 divisors, whose sum is σ = 601148620800. Its totient is φ = 64562572800.

The previous prime is 244000100429. The next prime is 244000100471. The reversal of 244000100442 is 244001000442.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 127 ways as a sum of consecutive naturals, for example, 1094170743 + ... + 1094170965.

It is an arithmetic number, because the mean of its divisors is an integer number (2348236800).

Almost surely, 2244000100442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244000100442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300574310400).

244000100442 is an abundant number, since it is smaller than the sum of its proper divisors (357148520358).

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

244000100442 is a wasteful number, since it uses less digits than its factorization.

244000100442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609.

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 244000100442 its reverse (244001000442), we get a palindrome (488001100884).

The spelling of 244000100442 in words is "two hundred forty-four billion, one hundred thousand, four hundred forty-two".