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42123331140 = 2235112329103929
BaseRepresentation
bin100111001110101111…
…110000011001000100
311000201122110221020120
4213032233300121010
51142232033044030
631203505101540
73020566256412
oct471657603104
9130648427216
1042123331140
1116956582170
1281b70278b0
133c83c4bb17
1420785ac2b2
15116810c010
hex9cebf0644

42123331140 has 384 divisors, whose sum is σ = 140391014400. Its totient is φ = 9329295360.

The previous prime is 42123331139. The next prime is 42123331141. The reversal of 42123331140 is 4113332124.

It is a happy number.

42123331140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42123331139) and next prime (42123331141).

It is a self number, because there is not a number n which added to its sum of digits gives 42123331140.

It is not an unprimeable number, because it can be changed into a prime (42123331141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45342196 + ... + 45343124.

It is an arithmetic number, because the mean of its divisors is an integer number (365601600).

Almost surely, 242123331140 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 42123331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70195507200).

42123331140 is an abundant number, since it is smaller than the sum of its proper divisors (98267683260).

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

42123331140 is a wasteful number, since it uses less digits than its factorization.

42123331140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42123331140 its reverse (4113332124), we get a palindrome (46236663264).

The spelling of 42123331140 in words is "forty-two billion, one hundred twenty-three million, three hundred thirty-one thousand, one hundred forty".