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12344246244 = 223211217891873
BaseRepresentation
bin10110111111100011…
…00011111111100100
31011212021212200102100
423133301203333210
5200240111334434
65400524012100
7614621235051
oct133761437744
934767780370
1012344246244
115265006a00
122486091030
131219584b25
1485162c028
154c3abe699
hex2dfc63fe4

12344246244 has 216 divisors, whose sum is σ = 36743255640. Its totient is φ = 3479224320.

The previous prime is 12344246237. The next prime is 12344246269. The reversal of 12344246244 is 44264244321.

12344246244 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 4 + 24 + 624 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49871844 + 12294374400 = 7062^2 + 110880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12344246199 and 12344246208.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6589692 + ... + 6591564.

It is an arithmetic number, because the mean of its divisors is an integer number (170107665).

Almost surely, 212344246244 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 12344246244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18371627820).

12344246244 is an abundant number, since it is smaller than the sum of its proper divisors (24399009396).

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

12344246244 is a wasteful number, since it uses less digits than its factorization.

12344246244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1995 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 12344246244 in words is "twelve billion, three hundred forty-four million, two hundred forty-six thousand, two hundred forty-four".