Search a number
-
+
42110005140 = 22335721983761
BaseRepresentation
bin100111001101111100…
…111010111110010100
311000200201101220102000
4213031330322332110
51142220130131030
631202311315300
73020345065200
oct471574727624
9130621356360
1042110005140
111694a000145
1281b267bb30
133c81264408
1420768ddb00
151166d78860
hex9cdf3af94

42110005140 has 288 divisors, whose sum is σ = 160420982400. Its totient is φ = 9118448640.

The previous prime is 42110005127. The next prime is 42110005141. The reversal of 42110005140 is 4150001124.

42110005140 is a `hidden beast` number, since 42 + 110 + 0 + 0 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42110005141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 460860 + ... + 544620.

It is an arithmetic number, because the mean of its divisors is an integer number (557017300).

Almost surely, 242110005140 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 42110005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80210491200).

42110005140 is an abundant number, since it is smaller than the sum of its proper divisors (118310977260).

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

42110005140 is a wasteful number, since it uses less digits than its factorization.

42110005140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83812 (or 83797 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 42110005140 its reverse (4150001124), we get a palindrome (46260006264).

The spelling of 42110005140 in words is "forty-two billion, one hundred ten million, five thousand, one hundred forty".