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131440278377 = 1775217102793
BaseRepresentation
bin111101001101001110…
…0110111101101101001
3110120021022001222010102
41322122130313231221
54123142202402002
6140214405155145
712332132634452
oct1723234675551
9416238058112
10131440278377
115081a679641
12215830bbab5
13c5193b6765
14650c8a4129
153644512a02
hex1e9a737b69

131440278377 has 8 divisors (see below), whose sum is σ = 139175263656. Its totient is φ = 123705649152.

The previous prime is 131440278373. The next prime is 131440278383. The reversal of 131440278377 is 773872044131.

It can be written as a sum of positive squares in 4 ways, for example, as 31505895001 + 99934383376 = 177499^2 + 316124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131440278377 - 22 = 131440278373 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131440278371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1227293 + ... + 1330085.

It is an arithmetic number, because the mean of its divisors is an integer number (17396907957).

Almost surely, 2131440278377 is an apocalyptic number.

131440278377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

131440278377 is a deficient number, since it is larger than the sum of its proper divisors (7734985279).

131440278377 is a wasteful number, since it uses less digits than its factorization.

131440278377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178027.

The product of its (nonzero) digits is 790272, while the sum is 47.

The spelling of 131440278377 in words is "one hundred thirty-one billion, four hundred forty million, two hundred seventy-eight thousand, three hundred seventy-seven".

Divisors: 1 17 75217 102793 1278689 1747481 7731781081 131440278377