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4131320463 = 337310120753
BaseRepresentation
bin1111011000111110…
…1111001010001111
3101122220210211021000
43312033233022033
531430104223323
61521540311343
7204243434034
oct36617571217
911586724230
104131320463
111830028236
129736a2553
1350abb022a
142b297938b
15192a64e43
hexf63ef28f

4131320463 has 32 divisors (see below), whose sum is σ = 6266047680. Its totient is φ = 2689459200.

The previous prime is 4131320441. The next prime is 4131320521. The reversal of 4131320463 is 3640231314.

4131320463 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4131320463 - 218 = 4131058319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131320363) 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, 188695 + ... + 209447.

It is an arithmetic number, because the mean of its divisors is an integer number (195813990).

Almost surely, 24131320463 is an apocalyptic number.

4131320463 is a deficient number, since it is larger than the sum of its proper divisors (2134727217).

4131320463 is a wasteful number, since it uses less digits than its factorization.

4131320463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20936 (or 20930 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4131320463 is about 64275.3487971866. The cubic root of 4131320463 is about 1604.5858622296.

Adding to 4131320463 its reverse (3640231314), we get a palindrome (7771551777).

It can be divided in two parts, 41313 and 20463, that added together give a triangular number (61776 = T351).

The spelling of 4131320463 in words is "four billion, one hundred thirty-one million, three hundred twenty thousand, four hundred sixty-three".

Divisors: 1 3 9 27 73 101 219 303 657 909 1971 2727 7373 20753 22119 62259 66357 186777 199071 560331 1514969 2096053 4544907 6288159 13634721 18864477 40904163 56593431 153011869 459035607 1377106821 4131320463