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133042401441441 = 3314449033410261
BaseRepresentation
bin11110010000000001011001…
…000100111111011010100001
3122110001201200201001222002000
4132100001121010333122201
5114414231314232111231
61150542500243314213
740010665506235422
oct3620013104773241
9573051621058060
10133042401441441
1139433a69229498
1212b0861307b969
135930ac98393bb
1424bd402579649
15105ab115326e6
hex79005913f6a1

133042401441441 has 16 divisors (see below), whose sum is σ = 197100048193920. Its totient is φ = 88694846901360.

The previous prime is 133042401441269. The next prime is 133042401441493. The reversal of 133042401441441 is 144144104240331.

133042401441441 is a `hidden beast` number, since 1 + 3 + 30 + 4 + 2 + 40 + 144 + 1 + 441 = 666.

It is not a de Polignac number, because 133042401441441 - 218 = 133042401179297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133042401441396 and 133042401441405.

It is not an unprimeable number, because it can be changed into a prime (133042401441541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37307251 + ... + 40717511.

It is an arithmetic number, because the mean of its divisors is an integer number (12318753012120).

Almost surely, 2133042401441441 is an apocalyptic number.

It is an amenable number.

133042401441441 is a deficient number, since it is larger than the sum of its proper divisors (64057646752479).

133042401441441 is a wasteful number, since it uses less digits than its factorization.

133042401441441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855173 (or 4855167 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 133042401441441 its reverse (144144104240331), we get a palindrome (277186505681772).

The spelling of 133042401441441 in words is "one hundred thirty-three trillion, forty-two billion, four hundred one million, four hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 9 27 1444903 3410261 4334709 10230783 13004127 30692349 39012381 92077047 4927496349683 14782489049049 44347467147147 133042401441441