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12344522000 = 245313745053
BaseRepresentation
bin10110111111100101…
…00111010100010000
31011212022101200200112
423133302213110100
5200240144201000
65400533540452
7614623464026
oct133762472420
934768350615
1012344522000
1152651850a8
1224861a4728
1312196504b5
148516a0716
154c3b26235
hex2dfca7510

12344522000 has 80 divisors (see below), whose sum is σ = 30067597872. Its totient is φ = 4901657600.

The previous prime is 12344521949. The next prime is 12344522039. The reversal of 12344522000 is 22544321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2485620736 + 9858901264 = 49856^2 + 99292^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251474 + ... + 296526.

Almost surely, 212344522000 is an apocalyptic number.

12344522000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12344522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15033798936).

12344522000 is an abundant number, since it is smaller than the sum of its proper divisors (17723075872).

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

12344522000 is a wasteful number, since it uses less digits than its factorization.

12344522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45213 (or 45197 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The spelling of 12344522000 in words is "twelve billion, three hundred forty-four million, five hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 137 200 250 274 400 500 548 685 1000 1096 1370 2000 2192 2740 3425 5480 6850 10960 13700 17125 27400 34250 45053 54800 68500 90106 137000 180212 225265 274000 360424 450530 720848 901060 1126325 1802120 2252650 3604240 4505300 5631625 6172261 9010600 11263250 12344522 18021200 22526500 24689044 30861305 45053000 49378088 61722610 90106000 98756176 123445220 154306525 246890440 308613050 493780880 617226100 771532625 1234452200 1543065250 2468904400 3086130500 6172261000 12344522000