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330200242041344 = 295773711170001
BaseRepresentation
bin100101100010100001011110…
…0001000011011001000000000
31121022010211112121101000010212
41023011002330020123020000
5321240000043430310334
63130135521433213252
7126360115550350223
oct11305027410331000
91538124477330125
10330200242041344
1196237155369a44
123104b028b61228
131123299804a25c
145b77ac40ab5ba
1528293ece6cece
hex12c50bc21b200

330200242041344 has 40 divisors (see below), whose sum is σ = 659767047711948. Its totient is φ = 165097246720000.

The previous prime is 330200242041331. The next prime is 330200242041389. The reversal of 330200242041344 is 443140242002033.

It can be written as a sum of positive squares in 2 ways, for example, as 315243149887744 + 14957092153600 = 17755088^2 + 3867440^2 .

It is a super-2 number, since 2×3302002420413442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 330200242041344.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 23976344 + ... + 35146344.

Almost surely, 2330200242041344 is an apocalyptic number.

It is an amenable number.

330200242041344 is a deficient number, since it is larger than the sum of its proper divisors (329566805670604).

330200242041344 is an equidigital number, since it uses as much as digits as its factorization.

330200242041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11227756 (or 11227740 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 330200242041344 its reverse (443140242002033), we get a palindrome (773340484043377).

The spelling of 330200242041344 in words is "three hundred thirty trillion, two hundred billion, two hundred forty-two million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 57737 115474 230948 461896 923792 1847584 3695168 7390336 11170001 14780672 22340002 29561344 44680004 89360008 178720016 357440032 714880064 1429760128 2859520256 5719040512 644922347737 1289844695474 2579689390948 5159378781896 10318757563792 20637515127584 41275030255168 82550060510336 165100121020672 330200242041344