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42003334125 = 325337336297
BaseRepresentation
bin100111000111100110…
…000000001111101101
311000102021200110021200
4213013212000033231
51142010323143000
631143541120113
73014611310034
oct470746001755
9130367613250
1042003334125
11168a4872685
1281829b9039
133c6512637c
14206669371b
15115c807500
hex9c79803ed

42003334125 has 24 divisors (see below), whose sum is σ = 75718012344. Its totient is φ = 22401777600.

The previous prime is 42003334097. The next prime is 42003334127. The reversal of 42003334125 is 52143330024.

42003334125 is a `hidden beast` number, since 4 + 200 + 3 + 334 + 125 = 666.

42003334125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3704061321 + 38299272804 = 60861^2 + 195702^2 .

It is not a de Polignac number, because 42003334125 - 29 = 42003333613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42003334127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18667024 + ... + 18669273.

It is an arithmetic number, because the mean of its divisors is an integer number (3154917181).

Almost surely, 242003334125 is an apocalyptic number.

42003334125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42003334125 is a deficient number, since it is larger than the sum of its proper divisors (33714678219).

42003334125 is a wasteful number, since it uses less digits than its factorization.

42003334125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37336318 (or 37336305 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 42003334125 its reverse (52143330024), we get a palindrome (94146664149).

The spelling of 42003334125 in words is "forty-two billion, three million, three hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 37336297 112008891 186681485 336026673 560044455 933407425 1680133365 2800222275 4667037125 8400666825 14001111375 42003334125