Search a number
-
+
12144052024 = 2313254716421
BaseRepresentation
bin10110100111101011…
…11000011100111000
31011100100011202120121
423103311320130320
5144332334131044
65325013103024
7606640511326
oct132365703470
934310152517
1012144052024
115172001035
12242b027a74
1311b6c60300
14832bd8d16
154b1227984
hex2d3d78738

12144052024 has 48 divisors (see below), whose sum is σ = 24702957720. Its totient is φ = 5594359680.

The previous prime is 12144052009. The next prime is 12144052073. The reversal of 12144052024 is 42025044121.

It is a self number, because there is not a number n which added to its sum of digits gives 12144052024.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 731334 + ... + 747754.

Almost surely, 212144052024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12144052024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12351478860).

12144052024 is an abundant number, since it is smaller than the sum of its proper divisors (12558905696).

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

12144052024 is a wasteful number, since it uses less digits than its factorization.

12144052024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17000 (or 16983 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 12144052024 its reverse (42025044121), we get a palindrome (54169096145).

The spelling of 12144052024 in words is "twelve billion, one hundred forty-four million, fifty-two thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 547 676 1094 1352 2188 4376 7111 14222 16421 28444 32842 56888 65684 92443 131368 184886 213473 369772 426946 739544 853892 1707784 2775149 5550298 8982287 11100596 17964574 22201192 35929148 71858296 116769731 233539462 467078924 934157848 1518006503 3036013006 6072026012 12144052024