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332414203300040 = 2358310355082501
BaseRepresentation
bin100101110010101000011011…
…0100000011000100011001000
31121120222111011101001222002202
41023211100312200120203020
5322032233242021100130
63134552550554415332
7130006063561504361
oct11345206640304310
91546874141058082
10332414203300040
1196a10087819254
1231348124131548
13113636a91969c4
145c12d0cd0cb68
152866cc9dee145
hex12e54368188c8

332414203300040 has 16 divisors (see below), whose sum is σ = 747931957425180. Its totient is φ = 132965681320000.

The previous prime is 332414203300013. The next prime is 332414203300057. The reversal of 332414203300040 is 40003302414233.

It can be written as a sum of positive squares in 2 ways, for example, as 332412606338596 + 1596961444 = 18232186^2 + 39962^2 .

It is a super-2 number, since 2×3324142033000402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332414203299976 and 332414203300012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4155177541211 + ... + 4155177541290.

Almost surely, 2332414203300040 is an apocalyptic number.

It is an amenable number.

332414203300040 is an abundant number, since it is smaller than the sum of its proper divisors (415517754125140).

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

332414203300040 is a wasteful number, since it uses less digits than its factorization.

332414203300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310355082512 (or 8310355082508 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 332414203300040 its reverse (40003302414233), we get a palindrome (372417505714273).

The spelling of 332414203300040 in words is "three hundred thirty-two trillion, four hundred fourteen billion, two hundred three million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 8310355082501 16620710165002 33241420330004 41551775412505 66482840660008 83103550825010 166207101650020 332414203300040