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12043431400401 = 325979728457543
BaseRepresentation
bin1010111101000001010001…
…1100110101001111010001
31120122100012102220211201200
42233100110130311033101
53034304421414303101
641340402003421413
72352052312561062
oct257202434651721
946570172824650
1012043431400401
113923655065845
121426120984869
136948c964048b
142d8c95bac569
1515d425cb3986
hexaf4147353d1

12043431400401 has 24 divisors (see below), whose sum is σ = 17713113687360. Its totient is φ = 7882966794336.

The previous prime is 12043431400391. The next prime is 12043431400459. The reversal of 12043431400401 is 10400413434021.

12043431400401 is a `hidden beast` number, since 1 + 204 + 3 + 43 + 14 + 0 + 0 + 401 = 666.

12043431400401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12043431400401 - 26 = 12043431400337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12043431400901) 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, 13805565 + ... + 14651978.

It is an arithmetic number, because the mean of its divisors is an integer number (738046403640).

Almost surely, 212043431400401 is an apocalyptic number.

It is an amenable number.

12043431400401 is a deficient number, since it is larger than the sum of its proper divisors (5669682286959).

12043431400401 is a wasteful number, since it uses less digits than its factorization.

12043431400401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28458405 (or 28458402 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12043431400401 its reverse (10400413434021), we get a palindrome (22443844834422).

The spelling of 12043431400401 in words is "twelve trillion, forty-three billion, four hundred thirty-one million, four hundred thousand, four hundred one".

Divisors: 1 3 9 59 177 531 797 2391 7173 47023 141069 423207 28457543 85372629 256117887 1678995037 5036985111 15110955333 22680661771 68041985313 204125955939 1338159044489 4014477133467 12043431400401