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5140437327 = 321974340459
BaseRepresentation
bin1001100100110010…
…01101100101001111
3111021020122021100200
410302121031211033
541011422443302
62210025224543
7241245665514
oct46231154517
914236567320
105140437327
1121a8708713
12bb5632153
1363bc8ccbc
1436a9bb30b
1520144781c
hex13264d94f

5140437327 has 24 divisors (see below), whose sum is σ = 7826582400. Its totient is φ = 3242142288.

The previous prime is 5140437317. The next prime is 5140437349. The reversal of 5140437327 is 7237340415.

It is not a de Polignac number, because 5140437327 - 210 = 5140436303 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5140437291 and 5140437300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140437317) 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, 106824 + ... + 147282.

It is an arithmetic number, because the mean of its divisors is an integer number (326107600).

Almost surely, 25140437327 is an apocalyptic number.

5140437327 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

5140437327 is a deficient number, since it is larger than the sum of its proper divisors (2686145073).

5140437327 is a wasteful number, since it uses less digits than its factorization.

5140437327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41227 (or 41224 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 5140437327 is about 71696.8432150259. The cubic root of 5140437327 is about 1725.8379827709.

The spelling of 5140437327 in words is "five billion, one hundred forty million, four hundred thirty-seven thousand, three hundred twenty-seven".

Divisors: 1 3 9 19 57 171 743 2229 6687 14117 40459 42351 121377 127053 364131 768721 2306163 6918489 30061037 90183111 270549333 571159703 1713479109 5140437327