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330024000000042 = 23270845725879717
BaseRepresentation
bin100101100001001111011001…
…1010010011001000000101010
31121021111222121222212200002200
41023002132303102121000222
5321224103123000000132
63125522533234441030
7126341306242620015
oct11302366322310052
91537458558780080
10330024000000042
1196179435323857
1231020a41a33176
131121c18bb4040a
145b6d36541c37c
152824a35628d7c
hex12c27b349902a

330024000000042 has 24 divisors (see below), whose sum is σ = 715053036938916. Its totient is φ = 110007840470976.

The previous prime is 330024000000031. The next prime is 330024000000113. The reversal of 330024000000042 is 240000000420033.

It can be written as a sum of positive squares in 2 ways, for example, as 303068371681881 + 26955628318161 = 17408859^2 + 5191881^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 330023999999961 and 330024000000024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187633 + ... + 25692084.

Almost surely, 2330024000000042 is an apocalyptic number.

330024000000042 is an abundant number, since it is smaller than the sum of its proper divisors (385029036938874).

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

330024000000042 is a wasteful number, since it uses less digits than its factorization.

330024000000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26588182 (or 26588179 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 330024000000042 its reverse (240000000420033), we get a palindrome (570024000420075).

The spelling of 330024000000042 in words is "three hundred thirty trillion, twenty-four billion, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 708457 1416914 2125371 4250742 6376113 12752226 25879717 51759434 77639151 155278302 232917453 465834906 18334666666669 36669333333338 55004000000007 110008000000014 165012000000021 330024000000042