Search a number
-
+
6403141530 = 23457905113
BaseRepresentation
bin1011111011010100…
…00010111110011010
3121112020122021220000
411331222002332122
5101103201012110
62535213313430
7314450543052
oct57552027632
917466567800
106403141530
112796452005
1212a8495876
137b076a256
1444a590562
1527721c1c0
hex17da82f9a

6403141530 has 40 divisors (see below), whose sum is σ = 17217338292. Its totient is φ = 1707504192.

The previous prime is 6403141517. The next prime is 6403141583. The reversal of 6403141530 is 351413046.

6403141530 is a `hidden beast` number, since 64 + 0 + 31 + 41 + 530 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6397280289 + 5861241 = 79983^2 + 2421^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6403141494 and 6403141503.

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 19 ways as a sum of consecutive naturals, for example, 3951747 + ... + 3953366.

Almost surely, 26403141530 is an apocalyptic number.

6403141530 is an abundant number, since it is smaller than the sum of its proper divisors (10814196762).

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

6403141530 is a wasteful number, since it uses less digits than its factorization.

6403141530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905132 (or 7905123 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6403141530 is about 80019.6321536159. The cubic root of 6403141530 is about 1856.9392689731.

Adding to 6403141530 its reverse (351413046), we get a palindrome (6754554576).

The spelling of 6403141530 in words is "six billion, four hundred three million, one hundred forty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 7905113 15810226 23715339 39525565 47430678 71146017 79051130 118576695 142292034 213438051 237153390 355730085 426876102 640314153 711460170 1067190255 1280628306 2134380510 3201570765 6403141530