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420024224020 = 225197106605133
BaseRepresentation
bin1100001110010110110…
…01010000100100010100
31111011011012200100100111
412013023121100210110
523340202200132040
6520542332452404
742226406665612
oct6071331204424
91434135610314
10420024224020
111521497a7275
12694a131a104
13307ba047bcb
14164877926b2
15add484bdea
hex61cb650914

420024224020 has 24 divisors (see below), whose sum is σ = 886528294344. Its totient is φ = 167156846976.

The previous prime is 420024224017. The next prime is 420024224047. The reversal of 420024224020 is 20422420024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 303576756484 + 116447467536 = 550978^2 + 341244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420024223982 and 420024224000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53298627 + ... + 53306506.

It is an arithmetic number, because the mean of its divisors is an integer number (36938678931).

Almost surely, 2420024224020 is an apocalyptic number.

It is an amenable number.

420024224020 is an abundant number, since it is smaller than the sum of its proper divisors (466504070324).

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

420024224020 is a wasteful number, since it uses less digits than its factorization.

420024224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106605339 (or 106605337 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 420024224020 its reverse (20422420024), we get a palindrome (440446644044).

The spelling of 420024224020 in words is "four hundred twenty billion, twenty-four million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 106605133 213210266 426420532 533025665 1066051330 2132102660 21001211201 42002422402 84004844804 105006056005 210012112010 420024224020