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442024113231 = 3316371263453
BaseRepresentation
bin1100110111010101011…
…00001011010001001111
31120020221102100111212000
412123222230023101033
524220231133110411
6535021342443343
743635524653401
oct6335254132117
91506842314760
10442024113231
111605090a7698
1271800b93553
13328b4b5b62c
1417573504b71
15b770e57956
hex66eab0b44f

442024113231 has 8 divisors (see below), whose sum is σ = 654850538160. Its totient is φ = 294682742136.

The previous prime is 442024113221. The next prime is 442024113233. The reversal of 442024113231 is 132311420244.

442024113231 is a `hidden beast` number, since 4 + 420 + 2 + 4 + 1 + 1 + 3 + 231 = 666.

It is not a de Polignac number, because 442024113231 - 219 = 442023588943 is a prime.

It is a super-2 number, since 2×4420241132312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 16371263453 = 442024113231 / (4 + 4 + 2 + 0 + 2 + 4 + 1 + 1 + 3 + 2 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 442024113195 and 442024113204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442024113233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8185631700 + ... + 8185631753.

It is an arithmetic number, because the mean of its divisors is an integer number (81856317270).

Almost surely, 2442024113231 is an apocalyptic number.

442024113231 is a deficient number, since it is larger than the sum of its proper divisors (212826424929).

442024113231 is a wasteful number, since it uses less digits than its factorization.

442024113231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16371263462 (or 16371263456 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 442024113231 its reverse (132311420244), we get a palindrome (574335533475).

The spelling of 442024113231 in words is "four hundred forty-two billion, twenty-four million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 27 16371263453 49113790359 147341371077 442024113231