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12144040002 = 2321913935251
BaseRepresentation
bin10110100111101011…
…10101100001000010
31011100100011011002100
423103311311201002
5144332333240002
65325012531230
7606640431303
oct132365654102
934310134070
1012144040002
115171aa2aa6
12242b020b16
1311b6c579b3
14832bd47aa
154b122411c
hex2d3d75842

12144040002 has 24 divisors (see below), whose sum is σ = 26314207920. Its totient is φ = 4047687000.

The previous prime is 12144039983. The next prime is 12144040009. The reversal of 12144040002 is 20004044121.

12144040002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12144040009) 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 11 ways as a sum of consecutive naturals, for example, 326877 + ... + 362127.

It is an arithmetic number, because the mean of its divisors is an integer number (1096425330).

Almost surely, 212144040002 is an apocalyptic number.

12144040002 is an abundant number, since it is smaller than the sum of its proper divisors (14170167918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12144040002 is a wasteful number, since it uses less digits than its factorization.

12144040002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54398 (or 54395 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12144040002 its reverse (20004044121), we get a palindrome (32148084123).

The spelling of 12144040002 in words is "twelve billion, one hundred forty-four million, forty thousand, two".

Divisors: 1 2 3 6 9 18 19139 35251 38278 57417 70502 105753 114834 172251 211506 317259 344502 634518 674668889 1349337778 2024006667 4048013334 6072020001 12144040002