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13335440223141 = 321750818463029
BaseRepresentation
bin1100001000001110011000…
…1011010110101110100101
31202012212002202110102120200
43002003212023112232211
53221441440144120031
644210114444421113
72544311432426541
oct302034613265645
952185082412520
1013335440223141
11428158a396203
1215b45b7b47799
137596acc9355a
1434161dd08a21
15181d433828e6
hexc20e62d6ba5

13335440223141 has 12 divisors (see below), whose sum is σ = 19262414839980. Its totient is φ = 8890241653440.

The previous prime is 13335440223107. The next prime is 13335440223143. The reversal of 13335440223141 is 14132204453331.

13335440223141 is a `hidden beast` number, since 1 + 3 + 3 + 354 + 40 + 223 + 1 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7876745354916 + 5458694868225 = 2806554^2 + 2336385^2 .

It is not a de Polignac number, because 13335440223141 - 217 = 13335440092069 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13335440223096 and 13335440223105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13335440223143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2655786 + ... + 5807243.

It is an arithmetic number, because the mean of its divisors is an integer number (1605201236665).

Almost surely, 213335440223141 is an apocalyptic number.

It is an amenable number.

13335440223141 is a deficient number, since it is larger than the sum of its proper divisors (5926974616839).

13335440223141 is a wasteful number, since it uses less digits than its factorization.

13335440223141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8638116 (or 8638113 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13335440223141 its reverse (14132204453331), we get a palindrome (27467644676472).

The spelling of 13335440223141 in words is "thirteen trillion, three hundred thirty-five billion, four hundred forty million, two hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 3 9 175081 525243 1575729 8463029 25389087 76167261 1481715580349 4445146741047 13335440223141