Search a number
-
+
42046222140 = 2232513197911971
BaseRepresentation
bin100111001010001001…
…100110111100111100
311000112021101101120200
4213022021212330330
51142102313102030
631152112243500
73015641664006
oct471211467474
9130467341520
1042046222140
1116916aa601a
128195240590
133c70c915b0
14206c259376
151161479d60
hex9ca266f3c

42046222140 has 288 divisors, whose sum is σ = 146422348800. Its totient is φ = 9680186880.

The previous prime is 42046222103. The next prime is 42046222187. The reversal of 42046222140 is 4122264024.

42046222140 is a `hidden beast` number, since 4 + 20 + 4 + 622 + 2 + 14 + 0 = 666.

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, 3506355 + ... + 3518325.

Almost surely, 242046222140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42046222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73211174400).

42046222140 is an abundant number, since it is smaller than the sum of its proper divisors (104376126660).

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

42046222140 is a wasteful number, since it uses less digits than its factorization.

42046222140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12097 (or 12092 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42046222140 its reverse (4122264024), we get a palindrome (46168486164).

The spelling of 42046222140 in words is "forty-two billion, forty-six million, two hundred twenty-two thousand, one hundred forty".