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244335533442 = 2373111319371181
BaseRepresentation
bin1110001110001110001…
…0000101110110000010
3212100200011102010210120
43203203202011312002
513000344344032232
6304125102241110
723436601524000
oct3434342056602
9770604363716
10244335533442
1194693047730
123b42b586196
131a06b682730
14bb7c3c5a70
1565508ad92c
hex38e3885d82

244335533442 has 512 divisors, whose sum is σ = 724405248000. Its totient is φ = 53952998400.

The previous prime is 244335533417. The next prime is 244335533443.

244335533442 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 244335533394 and 244335533403.

It is not an unprimeable number, because it can be changed into a prime (244335533443) 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 255 ways as a sum of consecutive naturals, for example, 206888092 + ... + 206889272.

It is an arithmetic number, because the mean of its divisors is an integer number (1414854000).

Almost surely, 2244335533442 is an apocalyptic number.

244335533442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 244335533442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362202624000).

244335533442 is an abundant number, since it is smaller than the sum of its proper divisors (480069714558).

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

244335533442 is a wasteful number, since it uses less digits than its factorization.

244335533442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1273 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 244335 and 533442, that added together give a palindrome (777777).

The spelling of 244335533442 in words is "two hundred forty-four billion, three hundred thirty-five million, five hundred thirty-three thousand, four hundred forty-two".