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420213423312 = 24322918148773
BaseRepresentation
bin1100001110101101010…
…10111111110011010000
31111011122101200122222200
412013112222333303100
523341044114021222
6521013212003200
742234165110214
oct6072652776320
91434571618880
10420213423312
11152236582521
1269534760500
133081a2c0057
14164a4962944
15ade6270eac
hex61d6abfcd0

420213423312 has 30 divisors (see below), whose sum is σ = 1176013955922. Its totient is φ = 140071141056.

The previous prime is 420213423281. The next prime is 420213423317. The reversal of 420213423312 is 213324312024.

420213423312 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 1 + 342 + 3 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 265736126016 + 154477297296 = 515496^2 + 393036^2 .

It is a super-2 number, since 2×4202134233122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420213423317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1459074243 + ... + 1459074530.

Almost surely, 2420213423312 is an apocalyptic number.

It is an amenable number.

420213423312 is an abundant number, since it is smaller than the sum of its proper divisors (755800532610).

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

420213423312 is a wasteful number, since it uses less digits than its factorization.

420213423312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918148787 (or 2918148778 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 420213423312 its reverse (213324312024), we get a palindrome (633537735336).

The spelling of 420213423312 in words is "four hundred twenty billion, two hundred thirteen million, four hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2918148773 5836297546 8754446319 11672595092 17508892638 23345190184 26263338957 35017785276 46690380368 52526677914 70035570552 105053355828 140071141104 210106711656 420213423312