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434321440002 = 23219266839249
BaseRepresentation
bin1100101000111111001…
…00110011110100000010
31112112001121102011121100
412110133210303310002
524103442242040002
6531305143435230
743243614220212
oct6243744636402
91475047364540
10434321440002
1115821614824a
1270211455b16
1331c580bb618
1417042516242
15b46eade11c
hex651f933d02

434321440002 has 36 divisors (see below), whose sum is σ = 993164415750. Its totient is φ = 137154136896.

The previous prime is 434321439913. The next prime is 434321440009. The reversal of 434321440002 is 200044123434.

It is a happy number.

434321440002 is a `hidden beast` number, since 4 + 3 + 43 + 214 + 400 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 336503247921 + 97818192081 = 580089^2 + 312759^2 .

It is a super-2 number, since 2×4343214400022 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434321440009) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 33413127 + ... + 33426122.

Almost surely, 2434321440002 is an apocalyptic number.

434321440002 is an abundant number, since it is smaller than the sum of its proper divisors (558842975748).

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

434321440002 is a wasteful number, since it uses less digits than its factorization.

434321440002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66839295 (or 66839273 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 434321440002 its reverse (200044123434), we get a palindrome (634365563436).

The spelling of 434321440002 in words is "four hundred thirty-four billion, three hundred twenty-one million, four hundred forty thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 66839249 133678498 200517747 401035494 601553241 1203106482 1269945731 2539891462 3809837193 7619674386 11429511579 22859023158 24128968889 48257937778 72386906667 144773813334 217160720001 434321440002