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430240504001 = 72113795234027
BaseRepresentation
bin1100100001011000101…
…01010001100011000001
31112010112012102010211112
412100230111101203001
524022113032112001
6525352203053105
743040521641500
oct6205425214301
91463465363745
10430240504001
11156511603670
126b472811195
133175779c7a9
1416b76534837
15b2d16cccbb
hex642c5518c1

430240504001 has 48 divisors (see below), whose sum is σ = 548605866240. Its totient is φ = 333645570720.

The previous prime is 430240503949. The next prime is 430240504051. The reversal of 430240504001 is 100405042034.

It is not a de Polignac number, because 430240504001 - 230 = 429166762177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (430240504051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106836950 + ... + 106840976.

It is an arithmetic number, because the mean of its divisors is an integer number (11429288880).

Almost surely, 2430240504001 is an apocalyptic number.

It is an amenable number.

430240504001 is a deficient number, since it is larger than the sum of its proper divisors (118365362239).

430240504001 is a wasteful number, since it uses less digits than its factorization.

430240504001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 430240504001 its reverse (100405042034), we get a palindrome (530645546035).

The spelling of 430240504001 in words is "four hundred thirty billion, two hundred forty million, five hundred four thousand, one".

Divisors: 1 7 11 49 77 379 523 539 2653 3661 4027 4169 5753 18571 25627 28189 29183 40271 44297 197323 198217 204281 281897 310079 1387519 1526233 2106121 2170553 2180387 9712633 10683631 14742847 15262709 16788563 23167331 74785417 103199929 106838963 117519941 162171317 798219859 822639587 1135199219 5587539013 8780418449 39112773091 61462929143 430240504001