Search a number
-
+
418186008040 = 23510454650201
BaseRepresentation
bin1100001010111011101…
…01000001010111101000
31110222102002202022002011
412011131311001113220
523322421104224130
6520040105245304
742133016263423
oct6053565012750
91428362668064
10418186008040
11151396110409
1269069793834
1330586267348
14163515ac9ba
15ad2829552a
hex615dd415e8

418186008040 has 16 divisors (see below), whose sum is σ = 940918518180. Its totient is φ = 167274403200.

The previous prime is 418186008013. The next prime is 418186008041. The reversal of 418186008040 is 40800681814.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 368961486084 + 49224521956 = 607422^2 + 221866^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 10454650201 = 418186008040 / (4 + 1 + 8 + 1 + 8 + 6 + 0 + 0 + 8 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 418186007984 and 418186008002.

It is not an unprimeable number, because it can be changed into a prime (418186008041) 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 3 ways as a sum of consecutive naturals, for example, 5227325061 + ... + 5227325140.

Almost surely, 2418186008040 is an apocalyptic number.

418186008040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

418186008040 is an abundant number, since it is smaller than the sum of its proper divisors (522732510140).

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

418186008040 is a wasteful number, since it uses less digits than its factorization.

418186008040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10454650212 (or 10454650208 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

Adding to 418186008040 its reverse (40800681814), we get a palindrome (458986689854).

The spelling of 418186008040 in words is "four hundred eighteen billion, one hundred eighty-six million, eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 10454650201 20909300402 41818600804 52273251005 83637201608 104546502010 209093004020 418186008040