Search a number
-
+
42028442190 = 23357271101443
BaseRepresentation
bin100111001001000101…
…110010001001001110
311000111000221002002000
4213021011302021032
51142033240122230
631150235213130
73015334602300
oct471105621116
9130430832060
1042028442190
1116907a61749
12818b2a71a6
133c6a3a7807
142069b4b970
15115eb16b60
hex9c917224e

42028442190 has 384 divisors, whose sum is σ = 133820605440. Its totient is φ = 9356256000.

The previous prime is 42028442189. The next prime is 42028442249. The reversal of 42028442190 is 9124482024.

42028442190 is a `hidden beast` number, since 4 + 2 + 0 + 28 + 442 + 190 = 666.

It is a super-2 number, since 2×420284421902 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94872109 + ... + 94872551.

It is an arithmetic number, because the mean of its divisors is an integer number (348491160).

Almost surely, 242028442190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42028442190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66910302720).

42028442190 is an abundant number, since it is smaller than the sum of its proper divisors (91792163250).

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

42028442190 is a wasteful number, since it uses less digits than its factorization.

42028442190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 42028442190 in words is "forty-two billion, twenty-eight million, four hundred forty-two thousand, one hundred ninety".