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242141130 = 233571119613
BaseRepresentation
bin11100110111011…
…00011111001010
3121212122001012000
432123230133022
5443442004010
640005531430
76000110550
oct1633543712
9555561160
10242141130
11114756240
1269113b76
133b22059a
1424231bd0
15163d07c0
hexe6ec7ca

242141130 has 256 divisors, whose sum is σ = 848793600. Its totient is φ = 47589120.

The previous prime is 242141117. The next prime is 242141131. The reversal of 242141130 is 31141242.

242141130 = T499 + T500 + ... + T1163.

242141130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (242141131) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 394704 + ... + 395316.

It is an arithmetic number, because the mean of its divisors is an integer number (3315600).

Almost surely, 2242141130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242141130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424396800).

242141130 is an abundant number, since it is smaller than the sum of its proper divisors (606652470).

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

242141130 is a wasteful number, since it uses less digits than its factorization.

242141130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 242141130 is about 15560.8846149568. The cubic root of 242141130 is about 623.2890849720.

Adding to 242141130 its reverse (31141242), we get a palindrome (273282372).

The spelling of 242141130 in words is "two hundred forty-two million, one hundred forty-one thousand, one hundred thirty".