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32342243131314 = 2327129755933343
BaseRepresentation
bin1110101101010010000111…
…11010011011111110110010
311020111212222112101001101100
413112221003322123332302
513214343403220200224
6152441453230145230
76545435635456104
oct726510372337662
9136455875331340
1032342243131314
11a33a2a50a5a06
123764187952216
131507b25507cbc
147db531413574
153b1468d38ac9
hex1d6a43e9bfb2

32342243131314 has 48 divisors (see below), whose sum is σ = 70096063564800. Its totient is φ = 10777486218048.

The previous prime is 32342243131313. The next prime is 32342243131339. The reversal of 32342243131314 is 41313134224323.

32342243131314 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 2 + 24 + 313 + 1 + 314 = 666.

It is a super-2 number, since 2×323422431313142 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32342243131313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969969327 + ... + 970002669.

It is an arithmetic number, because the mean of its divisors is an integer number (1460334657600).

Almost surely, 232342243131314 is an apocalyptic number.

32342243131314 is an abundant number, since it is smaller than the sum of its proper divisors (37753820433486).

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

32342243131314 is a wasteful number, since it uses less digits than its factorization.

32342243131314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48039 (or 48036 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 32342243131314 its reverse (41313134224323), we get a palindrome (73655377355637).

The spelling of 32342243131314 in words is "thirty-two trillion, three hundred forty-two billion, two hundred forty-three million, one hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 7129 7559 14258 15118 21387 22677 33343 42774 45354 64161 66686 68031 100029 128322 136062 200058 300087 600174 53888111 107776222 161664333 237702247 252039737 323328666 475404494 484992999 504079474 713106741 756119211 969985998 1426213482 1512238422 2139320223 2268357633 4278640446 4536715266 1796791285073 3593582570146 5390373855219 10780747710438 16171121565657 32342243131314