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131140309689 = 34402372
BaseRepresentation
bin111101000100010010…
…0100101001010111001
3110112111101121222110000
41322020210211022321
54122033404402224
6140124531543213
712321531145254
oct1721044451271
9415441558400
10131140309689
1150686316734
12214ba75ab09
13c49c1c9cac
1464c0adc09b
15362800d0c9
hex1e889252b9

131140309689 has 15 divisors (see below), whose sum is σ = 195905825247. Its totient is φ = 87424700328.

The previous prime is 131140309679. The next prime is 131140309693. The reversal of 131140309689 is 986903041131.

The square root of 131140309689 is 362133.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 99423549225 + 31716760464 = 315315^2 + 178092^2 .

It is not a de Polignac number, because 131140309689 - 27 = 131140309561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131140309679) 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 14 ways as a sum of consecutive naturals, for example, 3239079 + ... + 3279315.

Almost surely, 2131140309689 is an apocalyptic number.

131140309689 is the 362133-rd square number.

131140309689 is the 181067-th centered octagonal number.

It is an amenable number.

131140309689 is a deficient number, since it is larger than the sum of its proper divisors (64765515558).

131140309689 is an frugal number, since it uses more digits than its factorization.

131140309689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80486 (or 40240 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 131140309689 in words is "one hundred thirty-one billion, one hundred forty million, three hundred nine thousand, six hundred eighty-nine".

Divisors: 1 3 9 27 81 40237 120711 362133 1086399 3259197 1619016169 4857048507 14571145521 43713436563 131140309689