Search a number
-
+
242010341000000 = 26562371102071
BaseRepresentation
bin110111000001101101101100…
…011010000100001101000000
31011201212221222202211011000222
4313001231230122010031000
5223210044134244000000
62214414003230202212
7101655445600052426
oct6701555432041500
91151787882734028
10242010341000000
11701260113305a1
1223187285653368
13a50662862ca01
1443a9512119116
151cea39ea53a85
hexdc1b6c684340

242010341000000 has 196 divisors, whose sum is σ = 600550468480608. Its totient is φ = 96762360000000.

The previous prime is 242010340999951. The next prime is 242010341000003. The reversal of 242010341000000 is 143010242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242010341000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2370948965 + ... + 2371051035.

Almost surely, 2242010341000000 is an apocalyptic number.

242010341000000 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 242010341000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300275234240304).

242010341000000 is an abundant number, since it is smaller than the sum of its proper divisors (358540127480608).

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

242010341000000 is an frugal number, since it uses more digits than its factorization.

242010341000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104484 (or 104449 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 242010341000000 its reverse (143010242), we get a palindrome (242010484010242).

The spelling of 242010341000000 in words is "two hundred forty-two trillion, ten billion, three hundred forty-one million", and thus it is an aban number.