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442442444041 = 1337934998389
BaseRepresentation
bin1100111000000111001…
…11111110110100001001
31120022000120111220211201
412130003213332310021
524222110231202131
6535131045024201
743652064502633
oct6340347766411
91508016456751
10442442444041
11160703252834
12718b90b5061
133295071a660
14175b2cbba53
15b797a3c761
hex67039fed09

442442444041 has 16 divisors (see below), whose sum is σ = 489411538000. Its totient is φ = 397323802368.

The previous prime is 442442444021. The next prime is 442442444063. The reversal of 442442444041 is 140444244244.

It can be written as a sum of positive squares in 8 ways, for example, as 4689510400 + 437752933641 = 68480^2 + 661629^2 .

It is a cyclic number.

It is not a de Polignac number, because 442442444041 - 213 = 442442435849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442442444011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4447675 + ... + 4546063.

It is an arithmetic number, because the mean of its divisors is an integer number (30588221125).

Almost surely, 2442442444041 is an apocalyptic number.

It is an amenable number.

442442444041 is a deficient number, since it is larger than the sum of its proper divisors (46969093959).

442442444041 is a wasteful number, since it uses less digits than its factorization.

442442444041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107788.

The product of its (nonzero) digits is 262144, while the sum is 37.

Adding to 442442444041 its reverse (140444244244), we get a palindrome (582886688285).

The spelling of 442442444041 in words is "four hundred forty-two billion, four hundred forty-two million, four hundred forty-four thousand, forty-one".

Divisors: 1 13 37 481 9349 98389 121537 345913 1279057 3640393 4496869 47325109 919838761 11957903893 34034034157 442442444041