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420004422020 = 225181116023321
BaseRepresentation
bin1100001110010100011…
…01101110000110000100
31111011002211102022010002
412013022031232012010
523340132113001040
6520540344220432
742226046453051
oct6071215560604
91434084368102
10420004422020
11152139601787
126949676a718
13307b5c03951
1416484cba028
15add2c39a15
hex61ca36e184

420004422020 has 24 divisors (see below), whose sum is σ = 886882273368. Its totient is φ = 167073580800.

The previous prime is 420004422011. The next prime is 420004422059. The reversal of 420004422020 is 20224400024.

It can be written as a sum of positive squares in 4 ways, for example, as 7591288384 + 412413133636 = 87128^2 + 642194^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 420004421983 and 420004422001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58008041 + ... + 58015280.

It is an arithmetic number, because the mean of its divisors is an integer number (36953428057).

Almost surely, 2420004422020 is an apocalyptic number.

It is an amenable number.

420004422020 is an abundant number, since it is smaller than the sum of its proper divisors (466877851348).

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

420004422020 is a wasteful number, since it uses less digits than its factorization.

420004422020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116023511 (or 116023509 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 420004422020 its reverse (20224400024), we get a palindrome (440228822044).

The spelling of 420004422020 in words is "four hundred twenty billion, four million, four hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 116023321 232046642 464093284 580116605 1160233210 2320466420 21000221101 42000442202 84000884404 105001105505 210002211010 420004422020