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12324201440 = 255243731607
BaseRepresentation
bin10110111101001010…
…00110001111100000
31011210220011022010012
423132211012033200
5200214443421230
65354530224052
7614255661305
oct133645061740
934726138105
1012324201440
115254765a51
12247b425028
1312153871b5
1484cad10ac
154c1e60395
hex2de9463e0

12324201440 has 48 divisors (see below), whose sum is σ = 29128794912. Its totient is φ = 4927501824.

The previous prime is 12324201437. The next prime is 12324201443. The reversal of 12324201440 is 4410242321.

12324201440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12324201437) and next prime (12324201443).

It is a super-2 number, since 2×123242014402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324201443) 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 7 ways as a sum of consecutive naturals, for example, 374117 + ... + 405723.

It is an arithmetic number, because the mean of its divisors is an integer number (606849894).

Almost surely, 212324201440 is an apocalyptic number.

12324201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12324201440 is an abundant number, since it is smaller than the sum of its proper divisors (16804593472).

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

12324201440 is a wasteful number, since it uses less digits than its factorization.

12324201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34059 (or 34051 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12324201440 its reverse (4410242321), we get a palindrome (16734443761).

The spelling of 12324201440 in words is "twelve billion, three hundred twenty-four million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2437 4874 9748 12185 19496 24370 31607 38992 48740 63214 77984 97480 126428 158035 194960 252856 316070 389920 505712 632140 1011424 1264280 2528560 5057120 77026259 154052518 308105036 385131295 616210072 770262590 1232420144 1540525180 2464840288 3081050360 6162100720 12324201440