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2140231329 = 3426422609
BaseRepresentation
bin111111110010001…
…0101011010100001
312112011020000110000
41333210111122201
513340344400304
6552212330213
7104015444325
oct17744253241
95464200400
102140231329
119a9117525
124b8913969
13281535a92
1416435d985
15c7d62939
hex7f9156a1

2140231329 has 10 divisors (see below), whose sum is σ = 3197135810. Its totient is φ = 1426820832.

The previous prime is 2140231321. The next prime is 2140231361. The reversal of 2140231329 is 9231320412.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2037168225 + 103063104 = 45135^2 + 10152^2 .

It is not a de Polignac number, because 2140231329 - 23 = 2140231321 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2140231321) 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 9 ways as a sum of consecutive naturals, for example, 13211224 + ... + 13211385.

It is an arithmetic number, because the mean of its divisors is an integer number (319713581).

Almost surely, 22140231329 is an apocalyptic number.

It is an amenable number.

2140231329 is a deficient number, since it is larger than the sum of its proper divisors (1056904481).

2140231329 is an equidigital number, since it uses as much as digits as its factorization.

2140231329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26422621 (or 26422612 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2140231329 is about 46262.6342635177. The cubic root of 2140231329 is about 1288.7051745355.

The spelling of 2140231329 in words is "two billion, one hundred forty million, two hundred thirty-one thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 81 26422609 79267827 237803481 713410443 2140231329