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12344444300 = 2252432870801
BaseRepresentation
bin10110111111100100…
…10100010110001100
31011212022020202002202
423133302110112030
5200240134204200
65400532141032
7614623021346
oct133762242614
934768222082
1012344444300
115265131791
122486167778
131219624016
14851680296
154c3b0d1d5
hex2dfc9458c

12344444300 has 36 divisors (see below), whose sum is σ = 27410417496. Its totient is φ = 4822944000.

The previous prime is 12344444263. The next prime is 12344444309. The reversal of 12344444300 is 344444321.

It is a happy number.

It is a super-3 number, since 3×123444443003 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12344444309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1431101 + ... + 1439700.

It is an arithmetic number, because the mean of its divisors is an integer number (761400486).

Almost surely, 212344444300 is an apocalyptic number.

12344444300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344444300 is an abundant number, since it is smaller than the sum of its proper divisors (15065973196).

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

12344444300 is a wasteful number, since it uses less digits than its factorization.

12344444300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870858 (or 2870851 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 12344444300 its reverse (344444321), we get a palindrome (12688888621).

The spelling of 12344444300 in words is "twelve billion, three hundred forty-four million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 2870801 5741602 11483204 14354005 28708010 57416020 71770025 123444443 143540050 246888886 287080100 493777772 617222215 1234444430 2468888860 3086111075 6172222150 12344444300