Search a number
-
+
242403243030 = 23551312895953
BaseRepresentation
bin1110000111000001011…
…0111111010000010110
3212011200111110121200000
43201300112333100112
512432420212234110
6303205234432130
723340656366154
oct3416026772026
9764614417600
10242403243030
1193891347303
123ab90432646
1319b21254520
14ba379143d4
15648ae231c0
hex38705bf416

242403243030 has 192 divisors, whose sum is σ = 704531580480. Its totient is φ = 59612184576.

The previous prime is 242403243007. The next prime is 242403243041. The reversal of 242403243030 is 30342304242.

242403243030 is a `hidden beast` number, since 242 + 40 + 324 + 30 + 30 = 666.

242403243030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2424032430302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242403242985 and 242403243003.

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 95 ways as a sum of consecutive naturals, for example, 40716534 + ... + 40722486.

It is an arithmetic number, because the mean of its divisors is an integer number (3669435315).

Almost surely, 2242403243030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242403243030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352265790240).

242403243030 is an abundant number, since it is smaller than the sum of its proper divisors (462128337450).

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

242403243030 is a wasteful number, since it uses less digits than its factorization.

242403243030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7277 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 242403243030 its reverse (30342304242), we get a palindrome (272745547272).

The spelling of 242403243030 in words is "two hundred forty-two billion, four hundred three million, two hundred forty-three thousand, thirty".