Search a number
-
+
42123042234 = 232713314120233
BaseRepresentation
bin100111001110101110…
…101001110110111010
311000201121221020221100
4213032232221312322
51142231444322414
631203454552230
73020563644210
oct471656516672
9130647836840
1042123042234
11169563a50a9
1281b6b08676
133c83b7a480
142078534cb0
1511680a1609
hex9ceba9dba

42123042234 has 192 divisors, whose sum is σ = 118785558528. Its totient is φ = 10488268800.

The previous prime is 42123042229. The next prime is 42123042251. The reversal of 42123042234 is 43224032124.

42123042234 is a `hidden beast` number, since 4 + 2 + 1 + 230 + 422 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42123042198 and 42123042207.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2071782 + ... + 2092014.

It is an arithmetic number, because the mean of its divisors is an integer number (618674784).

Almost surely, 242123042234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42123042234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59392779264).

42123042234 is an abundant number, since it is smaller than the sum of its proper divisors (76662516294).

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

42123042234 is a wasteful number, since it uses less digits than its factorization.

42123042234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20333 (or 20330 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42123042234 its reverse (43224032124), we get a palindrome (85347074358).

The spelling of 42123042234 in words is "forty-two billion, one hundred twenty-three million, forty-two thousand, two hundred thirty-four".