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442240212331 = 19311637616053
BaseRepresentation
bin1100110111101111001…
…00100001110101101011
31120021111110222111002101
412123313210201311223
524221201443243311
6535055022314231
743644060532051
oct6336744416553
91507443874071
10442240212331
1116060a086095
1271861428977
133291a861618
14175940b81d1
15b784de1ec1
hex66f7921d6b

442240212331 has 32 divisors (see below), whose sum is σ = 484196014080. Its totient is φ = 402366009600.

The previous prime is 442240212313. The next prime is 442240212353. The reversal of 442240212331 is 133212042244.

It is a de Polignac number, because none of the positive numbers 2k-442240212331 is a prime.

It is a super-2 number, since 2×4422402123312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442240212331.

It is not an unprimeable number, because it can be changed into a prime (442240212131) 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 31 ways as a sum of consecutive naturals, for example, 73058301 + ... + 73064353.

It is an arithmetic number, because the mean of its divisors is an integer number (15131125440).

Almost surely, 2442240212331 is an apocalyptic number.

442240212331 is a deficient number, since it is larger than the sum of its proper divisors (41955801749).

442240212331 is a wasteful number, since it uses less digits than its factorization.

442240212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7027.

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

Adding to 442240212331 its reverse (133212042244), we get a palindrome (575452254575).

The spelling of 442240212331 in words is "four hundred forty-two billion, two hundred forty million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 19 31 163 589 761 3097 5053 6053 14459 23591 96007 115007 124043 187643 448229 986639 2356817 3565217 3845333 4606333 18746141 30585809 73061327 87520327 142796323 581130371 750832279 2713130137 14265813301 23275800649 442240212331