Search a number
-
+
243321541320000 = 26354111314179577
BaseRepresentation
bin110111010100110010110110…
…000010010101110101000000
31011220112022102120112210212210
4313110302312002111311000
5223343040004034220000
62221300212315422120
7102152254423636233
oct6724626602256500
91156468376483783
10243321541320000
11705910a47719a0
1223359417a54940
13a5a0179cbb620
144412b7addb41a
151d1e541dd7350
hexdd4cb6095d40

243321541320000 has 560 divisors, whose sum is σ = 945120827673792. Its totient is φ = 54449571840000.

The previous prime is 243321541319971. The next prime is 243321541320017. The reversal of 243321541320000 is 23145123342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 243321541320000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10070212 + ... + 24249788.

Almost surely, 2243321541320000 is an apocalyptic number.

243321541320000 is a gapful number since it is divisible by the number (20) 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 243321541320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472560413836896).

243321541320000 is an abundant number, since it is smaller than the sum of its proper divisors (701799286353792).

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

243321541320000 is a wasteful number, since it uses less digits than its factorization.

243321541320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14179636 (or 14179611 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 243321541320000 its reverse (23145123342), we get a palindrome (243344686443342).

The spelling of 243321541320000 in words is "two hundred forty-three trillion, three hundred twenty-one billion, five hundred forty-one million, three hundred twenty thousand".