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14205311643213 = 327332401667309
BaseRepresentation
bin1100111010110110111010…
…0011011110111001001101
31212022000101121000001221100
43032231232203132321031
53330214434240040323
650113455144053313
72664204602463615
oct316555643367115
955260347001840
1014205311643213
1145874910aaa69
121715102164239
137c072a848272
1437177db75a45
151997a5837943
hexceb6e8dee4d

14205311643213 has 24 divisors (see below), whose sum is σ = 20800535832440. Its totient is φ = 9340176614400.

The previous prime is 14205311643191. The next prime is 14205311643221. The reversal of 14205311643213 is 31234611350241.

14205311643213 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 5 + 3 + 1 + 1 + 643 + 2 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10337080207689 + 3868231435524 = 3215133^2 + 1966782^2 .

It is not a de Polignac number, because 14205311643213 - 217 = 14205311512141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14205311643113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20953803 + ... + 21621111.

Almost surely, 214205311643213 is an apocalyptic number.

It is an amenable number.

14205311643213 is a deficient number, since it is larger than the sum of its proper divisors (6595224189227).

14205311643213 is a wasteful number, since it uses less digits than its factorization.

14205311643213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699789 (or 699786 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 14205311643213 its reverse (31234611350241), we get a palindrome (45439922993454).

The spelling of 14205311643213 in words is "fourteen trillion, two hundred five billion, three hundred eleven million, six hundred forty-three thousand, two hundred thirteen".

Divisors: 1 3 9 73 219 657 32401 97203 291609 667309 2001927 2365273 6005781 7095819 21287457 48713557 146140671 438422013 21621478909 64864436727 194593310181 1578367960357 4735103881071 14205311643213