Search a number
-
+
420000422004 = 223261718908717
BaseRepresentation
bin1100001110010011111…
…10011101100001110100
31111011002112220002010100
412013021332131201310
523340130102001004
6520540122354100
742226000453152
oct6071176354164
91434075802110
10420000422004
1115213731a489
126949535b930
13307b5133087
14164845583d2
15add26e9739
hex61c9f9d874

420000422004 has 36 divisors (see below), whose sum is σ = 1063388482884. Its totient is φ = 139773228672.

The previous prime is 420000422003. The next prime is 420000422021. The reversal of 420000422004 is 400224000024.

420000422004 is a `hidden beast` number, since 420 + 0 + 0 + 0 + 42 + 200 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218266496100 + 201733925904 = 467190^2 + 449148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420000422003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9432147 + ... + 9476570.

It is an arithmetic number, because the mean of its divisors is an integer number (29538568969).

Almost surely, 2420000422004 is an apocalyptic number.

It is an amenable number.

420000422004 is an abundant number, since it is smaller than the sum of its proper divisors (643388060880).

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

420000422004 is a wasteful number, since it uses less digits than its factorization.

420000422004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18909344 (or 18909339 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 420000422004 its reverse (400224000024), we get a palindrome (820224422028).

The spelling of 420000422004 in words is "four hundred twenty billion, four hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 617 1234 1851 2468 3702 5553 7404 11106 22212 18908717 37817434 56726151 75634868 113452302 170178453 226904604 340356906 680713812 11666678389 23333356778 35000035167 46666713556 70000070334 105000105501 140000140668 210000211002 420000422004