Search a number
-
+
243120212412 = 223731130717491
BaseRepresentation
bin1110001001101100011…
…0000000100110111100
3212020112110120102202120
43202123012000212330
512440402233244122
6303404325522540
723364513465000
oct3423306004674
9766473512676
10243120212412
119411a026a90
123b150573450
1319c0695576c
14baa4c28700
1564cdd4875c
hex389b1809bc

243120212412 has 192 divisors, whose sum is σ = 724084838400. Its totient is φ = 62938814400.

The previous prime is 243120212399. The next prime is 243120212441. The reversal of 243120212412 is 214212021342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13890987 + ... + 13908477.

It is an arithmetic number, because the mean of its divisors is an integer number (3771275200).

Almost surely, 2243120212412 is an apocalyptic number.

243120212412 is a gapful number since it is divisible by the number (22) 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 243120212412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362042419200).

243120212412 is an abundant number, since it is smaller than the sum of its proper divisors (480964625988).

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

243120212412 is a wasteful number, since it uses less digits than its factorization.

243120212412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17837 (or 17821 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 243120212412 its reverse (214212021342), we get a palindrome (457332233754).

The spelling of 243120212412 in words is "two hundred forty-three billion, one hundred twenty million, two hundred twelve thousand, four hundred twelve".