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2001414232242 = 23421135846857
BaseRepresentation
bin11101000111111101100…
…101011001100010110010
321002022222222222021220000
4131013331211121202302
5230242344020412432
64131234220530430
7264411624165105
oct35077545314262
97068888867800
102001414232242
11701882180467
12283a796b0a16
1311696a556b99
146cc2462873c
15370dc23457c
hex1d1fd9598b2

2001414232242 has 40 divisors (see below), whose sum is σ = 4486773585756. Its totient is φ = 666822233088.

The previous prime is 2001414232229. The next prime is 2001414232243. The reversal of 2001414232242 is 2422324141002.

It is a happy number.

2001414232242 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 414 + 2 + 3 + 2 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2000105891001 + 1308341241 = 1414251^2 + 36171^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2001414232243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2581123 + ... + 3265734.

Almost surely, 22001414232242 is an apocalyptic number.

2001414232242 is an abundant number, since it is smaller than the sum of its proper divisors (2485359353514).

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

2001414232242 is a wasteful number, since it uses less digits than its factorization.

2001414232242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848984 (or 5848975 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2001414232242 its reverse (2422324141002), we get a palindrome (4423738373244).

The spelling of 2001414232242 in words is "two trillion, one billion, four hundred fourteen million, two hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 2113 4226 6339 12678 19017 38034 57051 114102 171153 342306 5846857 11693714 17540571 35081142 52621713 105243426 157865139 315730278 473595417 947190834 12354408841 24708817682 37063226523 74126453046 111189679569 222379359138 333569038707 667138077414 1000707116121 2001414232242