Search a number
-
+
1231340114304 = 273274310211409
BaseRepresentation
bin10001111010110001100…
…101110001000110000000
311100201022012122212120200
4101322301211301012000
5130133241032124204
62341400404005200
7154650520164456
oct21726145610600
94321265585520
101231340114304
11435232436903
1217a785390800
138c1654c1641
14438509369d6
152206b2ca539
hex11eb1971180

1231340114304 has 192 divisors, whose sum is σ = 3554074087200. Its totient is φ = 409202196480.

The previous prime is 1231340114299. The next prime is 1231340114309. The reversal of 1231340114304 is 4034110431321.

1231340114304 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 340 + 1 + 14 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (1231340114299) and next prime (1231340114309).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231340114309) 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 23 ways as a sum of consecutive naturals, for example, 873909952 + ... + 873911360.

Almost surely, 21231340114304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231340114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777037043600).

1231340114304 is an abundant number, since it is smaller than the sum of its proper divisors (2322733972896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1231340114304 is a wasteful number, since it uses less digits than its factorization.

1231340114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1231340114304 its reverse (4034110431321), we get a palindrome (5265450545625).

The spelling of 1231340114304 in words is "one trillion, two hundred thirty-one billion, three hundred forty million, one hundred fourteen thousand, three hundred four".