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2144131051041 = 327587540710723
BaseRepresentation
bin11111001100111000001…
…010110110111000100001
321120222101011211212101200
4133030320022312320201
5240112140022113131
64321000013351413
7310623365136660
oct37147012667041
97528334755350
102144131051041
117573590987a1
122a7669198569
13127262c40a65
1475ac29c6dd7
153ab9170e2e6
hex1f3382b6e21

2144131051041 has 48 divisors (see below), whose sum is σ = 3546534211584. Its totient is φ = 1222790232672.

The previous prime is 2144131051033. The next prime is 2144131051061. The reversal of 2144131051041 is 1401501314412.

It is a happy number.

2144131051041 is a `hidden beast` number, since 2 + 14 + 4 + 131 + 0 + 510 + 4 + 1 = 666.

It is not a de Polignac number, because 2144131051041 - 23 = 2144131051033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2144131050996 and 2144131051014.

It is not an unprimeable number, because it can be changed into a prime (2144131051061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199950906 + ... + 199961628.

It is an arithmetic number, because the mean of its divisors is an integer number (73886129408).

Almost surely, 22144131051041 is an apocalyptic number.

2144131051041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2144131051041 is a deficient number, since it is larger than the sum of its proper divisors (1402403160543).

2144131051041 is a wasteful number, since it uses less digits than its factorization.

2144131051041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16730 (or 16727 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 2144131051041 its reverse (1401501314412), we get a palindrome (3545632365453).

The spelling of 2144131051041 in words is "two trillion, one hundred forty-four billion, one hundred thirty-one million, fifty-one thousand, forty-one".

Divisors: 1 3 7 9 21 63 587 1761 4109 5283 5407 10723 12327 16221 32169 36981 37849 48663 75061 96507 113547 225183 340641 675549 3173909 6294401 9521727 18883203 22217363 28565181 44060807 56649609 57979261 66652089 132182421 173937783 199956267 396547263 405854827 521813349 1217564481 3652693443 34033826207 102101478621 238236783449 306304435863 714710350347 2144131051041