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12441041309 = 89169782373
BaseRepresentation
bin10111001011000101…
…10011100110011101
31012010001000101021202
423211202303212131
5200434401310214
65414302405245
7620205051314
oct134542634635
935101011252
1012441041309
115304709524
1224b2590825
131233645908
1486042727b
154cc33e6de
hex2e58b399d

12441041309 has 8 divisors (see below), whose sum is σ = 12588394680. Its totient is φ = 12293856256.

The previous prime is 12441041287. The next prime is 12441041321. The reversal of 12441041309 is 90314014421.

It can be written as a sum of positive squares in 4 ways, for example, as 7730278084 + 4710763225 = 87922^2 + 68635^2 .

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 12441041309 - 216 = 12440975773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441041359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109847 + ... + 192219.

It is an arithmetic number, because the mean of its divisors is an integer number (1573549335).

Almost surely, 212441041309 is an apocalyptic number.

It is an amenable number.

12441041309 is a deficient number, since it is larger than the sum of its proper divisors (147353371).

12441041309 is an equidigital number, since it uses as much as digits as its factorization.

12441041309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84159.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 12441041309 in words is "twelve billion, four hundred forty-one million, forty-one thousand, three hundred nine".

Divisors: 1 89 1697 82373 151033 7331197 139786981 12441041309