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1442344002112 = 261314911634809
BaseRepresentation
bin10100111111010010011…
…001101110001001000000
312002212221102200222101101
4110333102121232021000
5142112410031031422
63022334221344144
7206130425506156
oct24772231561100
95085842628341
101442344002112
11506770650862
121b3652108054
13a6021499920
144db4a21b3d6
15277ba80ac27
hex14fd266e240

1442344002112 has 56 divisors (see below), whose sum is σ = 3103003827000. Its totient is φ = 661229408256.

The previous prime is 1442344002107. The next prime is 1442344002131. The reversal of 1442344002112 is 2112004432441.

It can be written as a sum of positive squares in 4 ways, for example, as 13993943616 + 1428350058496 = 118296^2 + 1195136^2 .

It is a super-2 number, since 2×14423440021122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5693437 + ... + 5941372.

It is an arithmetic number, because the mean of its divisors is an integer number (55410782625).

Almost surely, 21442344002112 is an apocalyptic number.

It is an amenable number.

1442344002112 is an abundant number, since it is smaller than the sum of its proper divisors (1660659824888).

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

1442344002112 is a wasteful number, since it uses less digits than its factorization.

1442344002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11634983 (or 11634973 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1442344002112 its reverse (2112004432441), we get a palindrome (3554348434553).

The spelling of 1442344002112 in words is "one trillion, four hundred forty-two billion, three hundred forty-four million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 149 208 298 416 596 832 1192 1937 2384 3874 4768 7748 9536 15496 30992 61984 123968 11634809 23269618 46539236 93078472 151252517 186156944 302505034 372313888 605010068 744627776 1210020136 1733586541 2420040272 3467173082 4840080544 6934346164 9680161088 13868692328 22536625033 27737384656 45073250066 55474769312 90146500132 110949538624 180293000264 360586000528 721172001056 1442344002112