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2004015141 = 3374222783
BaseRepresentation
bin111011101110010…
…1101100000100101
312011122220111222000
41313130231200211
513101011441031
6530504555513
7100442563512
oct16734554045
95148814860
102004015141
1193923a267
1247b182b99
1325c251a9b
14150222309
15bae073e6
hex7772d825

2004015141 has 8 divisors (see below), whose sum is σ = 2968911360. Its totient is φ = 1336010076.

The previous prime is 2004015137. The next prime is 2004015191. The reversal of 2004015141 is 1415104002.

It is not a de Polignac number, because 2004015141 - 22 = 2004015137 is a prime.

It is a super-3 number, since 3×20040151413 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004015121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37111365 + ... + 37111418.

It is an arithmetic number, because the mean of its divisors is an integer number (371113920).

Almost surely, 22004015141 is an apocalyptic number.

It is an amenable number.

2004015141 is a deficient number, since it is larger than the sum of its proper divisors (964896219).

2004015141 is an equidigital number, since it uses as much as digits as its factorization.

2004015141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74222792 (or 74222786 counting only the distinct ones).

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

The square root of 2004015141 is about 44766.2276833776. The cubic root of 2004015141 is about 1260.7636130885.

Adding to 2004015141 its reverse (1415104002), we get a palindrome (3419119143).

The spelling of 2004015141 in words is "two billion, four million, fifteen thousand, one hundred forty-one".

Divisors: 1 3 9 27 74222783 222668349 668005047 2004015141