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6402000321 = 34415719013
BaseRepresentation
bin1011111011001011…
…01100010111000001
3121112011111022110000
411331211230113001
5101102403002241
62535133030213
7314435050653
oct57545542701
917464438400
106402000321
112795842662
1212a8025369
137b045a992
1444a3746d3
15277093eb6
hex17d96c5c1

6402000321 has 20 divisors (see below), whose sum is σ = 9566285652. Its totient is φ = 4266749088.

The previous prime is 6402000317. The next prime is 6402000359. The reversal of 6402000321 is 1230002046.

It is a happy number.

6402000321 is a `hidden beast` number, since 640 + 2 + 0 + 0 + 0 + 3 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 860835600 + 5541164721 = 29340^2 + 74439^2 .

It is not a de Polignac number, because 6402000321 - 22 = 6402000317 is a prime.

It is a super-2 number, since 2×64020003212 = 81971216220168206082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6402000294 and 6402000303.

It is not an unprimeable number, because it can be changed into a prime (6402000721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 327211 + ... + 346223.

Almost surely, 26402000321 is an apocalyptic number.

It is an amenable number.

6402000321 is a deficient number, since it is larger than the sum of its proper divisors (3164285331).

6402000321 is a wasteful number, since it uses less digits than its factorization.

6402000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23182 (or 23173 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6402000321 is about 80012.5010295266. The cubic root of 6402000321 is about 1856.8289438717.

Adding to 6402000321 its reverse (1230002046), we get a palindrome (7632002367).

The spelling of 6402000321 in words is "six billion, four hundred two million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 27 81 4157 12471 19013 37413 57039 112239 171117 336717 513351 1540053 79037041 237111123 711333369 2134000107 6402000321