Search a number
-
+
12144017129 = 436719721397
BaseRepresentation
bin10110100111101011…
…01111111011101001
31011100100002222201012
423103311233323221
5144332332022004
65325012233305
7606640304516
oct132365577351
934310088635
1012144017129
115171a878a2
12242b00b835
1311b6c4a46a
14832bca30d
154b121c46e
hex2d3d6fee9

12144017129 has 16 divisors (see below), whose sum is σ = 12676517568. Its totient is φ = 11624703552.

The previous prime is 12144017101. The next prime is 12144017161. The reversal of 12144017129 is 92171044121.

It is a cyclic number.

It is not a de Polignac number, because 12144017129 - 232 = 7849049833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12144017095 and 12144017104.

It is not an unprimeable number, because it can be changed into a prime (12144047129) 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 15 ways as a sum of consecutive naturals, for example, 556859 + ... + 578255.

It is an arithmetic number, because the mean of its divisors is an integer number (792282348).

Almost surely, 212144017129 is an apocalyptic number.

It is an amenable number.

12144017129 is a deficient number, since it is larger than the sum of its proper divisors (532500439).

12144017129 is a wasteful number, since it uses less digits than its factorization.

12144017129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21704.

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 12144017129 in words is "twelve billion, one hundred forty-four million, seventeen thousand, one hundred twenty-nine".

Divisors: 1 43 67 197 2881 8471 13199 21397 567557 920071 1433599 4215209 61644757 181253987 282419003 12144017129