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442024021323 = 3417321005099
BaseRepresentation
bin1100110111010101010…
…11110100110101001011
31120020221102011211210000
412123222223310311023
524220231122140243
6535021340454043
743635524121423
oct6335253646513
91506842154700
10442024021323
11160509044635
1271800b4a323
13328b4b28851
14175734bd483
15b770e3a5d3
hex66eaaf4d4b

442024021323 has 20 divisors (see below), whose sum is σ = 699149107800. Its totient is φ = 277348404672.

The previous prime is 442024021321. The next prime is 442024021343. The reversal of 442024021323 is 323120420244.

442024021323 is a `hidden beast` number, since 4 + 420 + 2 + 4 + 0 + 213 + 23 = 666.

It is not a de Polignac number, because 442024021323 - 21 = 442024021321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (442024021321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160501173 + ... + 160503926.

It is an arithmetic number, because the mean of its divisors is an integer number (34957455390).

Almost surely, 2442024021323 is an apocalyptic number.

442024021323 is a deficient number, since it is larger than the sum of its proper divisors (257125086477).

442024021323 is a wasteful number, since it uses less digits than its factorization.

442024021323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321005128 (or 321005119 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 442024021323 its reverse (323120420244), we get a palindrome (765144441567).

The spelling of 442024021323 in words is "four hundred forty-two billion, twenty-four million, twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 17 27 51 81 153 459 1377 321005099 963015297 2889045891 5457086683 8667137673 16371260049 26001413019 49113780147 147341340441 442024021323