Search a number
-
+
242434134140 = 22511173113715263
BaseRepresentation
bin1110000111001000110…
…0110101000001111100
3212011202122121001022012
43201302030311001330
512433001114243030
6303212300510352
723341513065542
oct3416214650174
9764678531265
10242434134140
11938a7826250
123ab9a84b3b8
1319b2777bca3
14ba3ba75d92
15648d9c6095
hex387233507c

242434134140 has 192 divisors, whose sum is σ = 611505635328. Its totient is φ = 79704268800.

The previous prime is 242434134133. The next prime is 242434134143. The reversal of 242434134140 is 41431434242.

It is a junction number, because it is equal to n+sod(n) for n = 242434134097 and 242434134106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242434134143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15876149 + ... + 15891411.

It is an arithmetic number, because the mean of its divisors is an integer number (3184925184).

Almost surely, 2242434134140 is an apocalyptic number.

242434134140 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 242434134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305752817664).

242434134140 is an abundant number, since it is smaller than the sum of its proper divisors (369071501188).

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

242434134140 is a wasteful number, since it uses less digits than its factorization.

242434134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15468 (or 15466 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 242434134140 its reverse (41431434242), we get a palindrome (283865568382).

The spelling of 242434134140 in words is "two hundred forty-two billion, four hundred thirty-four million, one hundred thirty-four thousand, one hundred forty".