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12144142410 = 2351921305513
BaseRepresentation
bin10110100111101100…
…01110100001001010
31011100100100100120020
423103312032201022
5144332400024120
65325015041310
7606641336001
oct132366164112
934310310506
1012144142410
115172062a34
12242b070236
1311b6c924aa
14832c1dc38
154b1244640
hex2d3d8e84a

12144142410 has 32 divisors (see below), whose sum is σ = 30679940160. Its totient is φ = 3067993728.

The previous prime is 12144142397. The next prime is 12144142411. The reversal of 12144142410 is 1424144121.

12144142410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12144142411) 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 15 ways as a sum of consecutive naturals, for example, 10652187 + ... + 10653326.

It is an arithmetic number, because the mean of its divisors is an integer number (958748130).

Almost surely, 212144142410 is an apocalyptic number.

12144142410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12144142410 is an abundant number, since it is smaller than the sum of its proper divisors (18535797750).

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

12144142410 is a wasteful number, since it uses less digits than its factorization.

12144142410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21305542.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12144142410 its reverse (1424144121), we get a palindrome (13568286531).

The spelling of 12144142410 in words is "twelve billion, one hundred forty-four million, one hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 21305513 42611026 63916539 106527565 127833078 213055130 319582695 404804747 639165390 809609494 1214414241 2024023735 2428828482 4048047470 6072071205 12144142410