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12303430144 = 2970933893
BaseRepresentation
bin10110111010101011…
…10111001000000000
31011202110002000020221
423131111313020000
5200144134231034
65352505112424
7613614300505
oct133525671000
934673060227
1012303430144
115243a69195
122474488714
131210c939a5
1484a0454ac
154c020abb4
hex2dd577200

12303430144 has 40 divisors (see below), whose sum is σ = 24618229020. Its totient is φ = 6142857216.

The previous prime is 12303430127. The next prime is 12303430151. The reversal of 12303430144 is 44103430321.

It can be written as a sum of positive squares in 2 ways, for example, as 12241209600 + 62220544 = 110640^2 + 7888^2 .

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, 346062 + ... + 379954.

Almost surely, 212303430144 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 12303430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12309114510).

12303430144 is an abundant number, since it is smaller than the sum of its proper divisors (12314798876).

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

12303430144 is an frugal number, since it uses more digits than its factorization.

12303430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34620 (or 34604 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 12303430144 its reverse (44103430321), we get a palindrome (56406860465).

The spelling of 12303430144 in words is "twelve billion, three hundred three million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 709 1418 2836 5672 11344 22688 33893 45376 67786 90752 135572 181504 271144 363008 542288 1084576 2169152 4338304 8676608 17353216 24030137 48060274 96120548 192241096 384482192 768964384 1537928768 3075857536 6151715072 12303430144