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214044202424340 = 223251189134457913
BaseRepresentation
bin110000101010110000001100…
…101001101101100000010100
31001001212102111111012211021100
4300222300030221231200110
5211023400011310034330
62035122314335550100
763041116605255111
oct6052601451554024
91031772444184240
10214044202424340
1162223700169642
122000b24a38b330
139258387b0c6b2
143abdb1a827908
1519b2baa882060
hexc2ac0ca6d814

214044202424340 has 36 divisors (see below), whose sum is σ = 649267414021044. Its totient is φ = 57078453979776.

The previous prime is 214044202424333. The next prime is 214044202424363. The reversal of 214044202424340 is 43424202440412.

214044202424340 is a `hidden beast` number, since 2 + 1 + 404 + 4 + 2 + 0 + 2 + 4 + 243 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123712141779216 + 90332060645124 = 11122596^2 + 9504318^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214044202424295 and 214044202424304.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 594567228777 + ... + 594567229136.

It is an arithmetic number, because the mean of its divisors is an integer number (18035205945029).

Almost surely, 2214044202424340 is an apocalyptic number.

214044202424340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214044202424340 is an abundant number, since it is smaller than the sum of its proper divisors (435223211596704).

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

214044202424340 is a wasteful number, since it uses less digits than its factorization.

214044202424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189134457928 (or 1189134457923 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 214044202424340 its reverse (43424202440412), we get a palindrome (257468404864752).

The spelling of 214044202424340 in words is "two hundred fourteen trillion, forty-four billion, two hundred two million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1189134457913 2378268915826 3567403373739 4756537831652 5945672289565 7134806747478 10702210121217 11891344579130 14269613494956 17837016868695 21404420242434 23782689158260 35674033737390 42808840484868 53511050606085 71348067474780 107022101212170 214044202424340