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1314056241641 = 1113577149310667
BaseRepresentation
bin10011000111110011110…
…110110000000111101001
311122121210211122111211102
4103013303312300013221
5133012141344213031
62443400305411145
7163636352521613
oct23076366600751
94577724574742
101314056241641
11467319544620
1219280a939ab5
1396bb82686a0
144785a301db3
15242ace677cb
hex131f3db01e9

1314056241641 has 32 divisors (see below), whose sum is σ = 1547642775168. Its totient is φ = 1099953008640.

The previous prime is 1314056241571. The next prime is 1314056241649. The reversal of 1314056241641 is 1461426504131.

It is a cyclic number.

It is not a de Polignac number, because 1314056241641 - 218 = 1314055979497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1314056241595 and 1314056241604.

It is not an unprimeable number, because it can be changed into a prime (1314056241649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123183590 + ... + 123194256.

It is an arithmetic number, because the mean of its divisors is an integer number (48363836724).

Almost surely, 21314056241641 is an apocalyptic number.

1314056241641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1314056241641 is a deficient number, since it is larger than the sum of its proper divisors (233586533527).

1314056241641 is a wasteful number, since it uses less digits than its factorization.

1314056241641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12761.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 1314056241641 in words is "one trillion, three hundred fourteen billion, fifty-six million, two hundred forty-one thousand, six hundred forty-one".

Divisors: 1 11 13 143 577 1493 6347 7501 10667 16423 19409 82511 117337 138671 213499 861461 1525381 6154859 9476071 11198993 15925831 67703449 80013167 123188923 175184141 207035803 880144837 2277393833 9189204487 101081249357 119459658331 1314056241641