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12244040320 = 27519131313
BaseRepresentation
bin10110110011100110…
…10011101010000000
31011121022022200201211
423121303103222000
5200033433242240
65342544135504
7612263424361
oct133163235200
934538280654
1012244040320
115213494796
122458607594
13120189b695
148421c5b68
154b9dc8bea
hex2d9cd3a80

12244040320 has 32 divisors (see below), whose sum is σ = 29270910420. Its totient is φ = 4897615872.

The previous prime is 12244040299. The next prime is 12244040429. The reversal of 12244040320 is 2304044221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12193459776 + 50580544 = 110424^2 + 7112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 12244040291 and 12244040300.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9565017 + ... + 9566296.

Almost surely, 212244040320 is an apocalyptic number.

12244040320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12244040320 is an abundant number, since it is smaller than the sum of its proper divisors (17026870100).

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

12244040320 is an equidigital number, since it uses as much as digits as its factorization.

12244040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19131332 (or 19131320 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12244040320 its reverse (2304044221), we get a palindrome (14548084541).

The spelling of 12244040320 in words is "twelve billion, two hundred forty-four million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 19131313 38262626 76525252 95656565 153050504 191313130 306101008 382626260 612202016 765252520 1224404032 1530505040 2448808064 3061010080 6122020160 12244040320