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16442140375665 = 325913933997909
BaseRepresentation
bin1110111101000011101111…
…1011111011101001110001
32011012212001000220001122200
43233100323323323221301
54123342000414010130
654545225350453413
73314622365135544
oct357207373735161
964185030801580
1016442140375665
11526a088661814
121a1671b664269
13923644462584
1440bb37a4885b
151d7a7014b760
hexef43befba71

16442140375665 has 24 divisors (see below), whose sum is σ = 28500028950120. Its totient is φ = 8769043390464.

The previous prime is 16442140375663. The next prime is 16442140375699. The reversal of 16442140375665 is 56657304124461.

16442140375665 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 2 + 1 + 40 + 37 + 566 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89563131441 + 16352577244224 = 299271^2 + 4043832^2 .

It is not a de Polignac number, because 16442140375665 - 21 = 16442140375663 is a prime.

It is a super-3 number, since 3×164421403756653 (a number of 41 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16442140375663) 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 23 ways as a sum of consecutive naturals, for example, 2113731 + ... + 6111639.

It is an arithmetic number, because the mean of its divisors is an integer number (1187501206255).

Almost surely, 216442140375665 is an apocalyptic number.

16442140375665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16442140375665 is a deficient number, since it is larger than the sum of its proper divisors (12057888574455).

16442140375665 is a wasteful number, since it uses less digits than its factorization.

16442140375665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089313 (or 4089310 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 16442140375665 in words is "sixteen trillion, four hundred forty-two billion, one hundred forty million, three hundred seventy-five thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 91393 274179 456965 822537 1370895 3997909 4112685 11993727 19989545 35981181 59968635 179905905 365380897237 1096142691711 1826904486185 3288428075133 5480713458555 16442140375665