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16442135014374 = 2321109823671727
BaseRepresentation
bin1110111101000011101110…
…0111011110101111100110
32011012212000122210200100100
43233100323213132233212
54123341443030424444
654545225035524530
73314622301436136
oct357207347365746
964185018720310
1016442135014374
11526a08562a7a3
121a167198b9746
13923643306204
1440bb37050ac6
151d7a6e93ce69
hexef43b9debe6

16442135014374 has 24 divisors (see below), whose sum is σ = 35656749105120. Its totient is φ = 5475769634448.

The previous prime is 16442135014373. The next prime is 16442135014381. The reversal of 16442135014374 is 47341053124461.

16442135014374 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 213 + 50 + 14 + 374 = 666.

It is a super-3 number, since 3×164421350143743 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442135014373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411815902 + ... + 411855825.

It is an arithmetic number, because the mean of its divisors is an integer number (1485697879380).

Almost surely, 216442135014374 is an apocalyptic number.

16442135014374 is an abundant number, since it is smaller than the sum of its proper divisors (19214614090746).

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

16442135014374 is a wasteful number, since it uses less digits than its factorization.

16442135014374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823672844 (or 823672841 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 16442135014374 in words is "sixteen trillion, four hundred forty-two billion, one hundred thirty-five million, fourteen thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 1109 2218 3327 6654 9981 19962 823671727 1647343454 2471015181 4942030362 7413045543 14826091086 913451945243 1826903890486 2740355835729 5480711671458 8221067507187 16442135014374