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442331212240 = 2455529140153
BaseRepresentation
bin1100110111111001111…
…11101010100111010000
31120021201211012202111101
412123330333222213100
524221343242242430
6535112032554144
743646244160651
oct6337477524720
91507654182441
10442331212240
1116065648a725
12718879b2954
1332933673718
14175a2205528
15b78cdb9dca
hex66fcfea9d0

442331212240 has 20 divisors (see below), whose sum is σ = 1028420068644. Its totient is φ = 176932484864.

The previous prime is 442331212229. The next prime is 442331212247. The reversal of 442331212240 is 42212133244.

It can be written as a sum of positive squares in 2 ways, for example, as 286618895424 + 155712316816 = 535368^2 + 394604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 442331212199 and 442331212208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442331212247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2764569997 + ... + 2764570156.

Almost surely, 2442331212240 is an apocalyptic number.

442331212240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442331212240 is an abundant number, since it is smaller than the sum of its proper divisors (586088856404).

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

442331212240 is a wasteful number, since it uses less digits than its factorization.

442331212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529140166 (or 5529140160 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 442331212240 its reverse (42212133244), we get a palindrome (484543345484).

The spelling of 442331212240 in words is "four hundred forty-two billion, three hundred thirty-one million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5529140153 11058280306 22116560612 27645700765 44233121224 55291401530 88466242448 110582803060 221165606120 442331212240