Search a number
-
+
1314430430441 = 47791511234287
BaseRepresentation
bin10011001000001010001…
…010001010110011101001
311122122202220202021100212
4103020022022022303221
5133013423142233231
62443501353510505
7163651545212222
oct23101212126351
94578686667325
101314430430441
114674a0790167
121928b4112435
1396c4794078b
1447893ca8249
15242d0c2d42b
hex1320a28ace9

1314430430441 has 16 divisors (see below), whose sum is σ = 1360294871040. Its totient is φ = 1269333433680.

The previous prime is 1314430430399. The next prime is 1314430430459. The reversal of 1314430430441 is 1440340344131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1314430430441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1314430430398 and 1314430430407.

It is not an unprimeable number, because it can be changed into a prime (1314430430041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5493200 + ... + 5727486.

It is an arithmetic number, because the mean of its divisors is an integer number (85018429440).

Almost surely, 21314430430441 is an apocalyptic number.

It is an amenable number.

1314430430441 is a deficient number, since it is larger than the sum of its proper divisors (45864440599).

1314430430441 is a wasteful number, since it uses less digits than its factorization.

1314430430441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235924.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1314430430441 its reverse (1440340344131), we get a palindrome (2754770774572).

The spelling of 1314430430441 in words is "one trillion, three hundred fourteen billion, four hundred thirty million, four hundred thirty thousand, four hundred forty-one".

Divisors: 1 47 79 1511 3713 71017 119369 234287 5610343 11011489 18508673 354007657 869907631 16638359879 27966604903 1314430430441