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242323110414 = 2327112671571511
BaseRepresentation
bin1110000110101110010…
…1010011101000001110
3212011110220200110101100
43201223211103220032
512432234204013124
6303153253123530
723335664311320
oct3415345235016
9764426613340
10242323110414
1193850095500
123ab696295a6
1319b0a778988
14ba2b015610
156483d951c9
hex386b953a0e

242323110414 has 288 divisors, whose sum is σ = 674099532288. Its totient is φ = 61565961600.

The previous prime is 242323110397. The next prime is 242323110437. The reversal of 242323110414 is 414011323242.

242323110414 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 231 + 10 + 414 = 666.

242323110414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160371919 + ... + 160373429.

It is an arithmetic number, because the mean of its divisors is an integer number (2340623376).

Almost surely, 2242323110414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242323110414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337049766144).

242323110414 is an abundant number, since it is smaller than the sum of its proper divisors (431776421874).

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

242323110414 is a wasteful number, since it uses less digits than its factorization.

242323110414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 242323110414 its reverse (414011323242), we get a palindrome (656334433656).

The spelling of 242323110414 in words is "two hundred forty-two billion, three hundred twenty-three million, one hundred ten thousand, four hundred fourteen".