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420314130441 = 32196140294711
BaseRepresentation
bin1100001110111001010…
…11001010100000001001
31111011220102012010012100
412013130223022200021
523341300404133231
6521031210304013
742236530106052
oct6073453124011
91434812163170
10420314130441
11152288407257
1269562428009
133083512067a
14164b4099729
15ae000151e6
hex61dcaca809

420314130441 has 24 divisors (see below), whose sum is σ = 649550757440. Its totient is φ = 261109720800.

The previous prime is 420314130427. The next prime is 420314130451. The reversal of 420314130441 is 144031413024.

420314130441 is a `hidden beast` number, since 4 + 2 + 0 + 314 + 1 + 304 + 41 = 666.

It is not a de Polignac number, because 420314130441 - 211 = 420314128393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420314130451) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20136925 + ... + 20157786.

Almost surely, 2420314130441 is an apocalyptic number.

It is an amenable number.

420314130441 is a deficient number, since it is larger than the sum of its proper divisors (229236626999).

420314130441 is a wasteful number, since it uses less digits than its factorization.

420314130441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40294797 (or 40294794 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 420314130441 its reverse (144031413024), we get a palindrome (564345543465).

The spelling of 420314130441 in words is "four hundred twenty billion, three hundred fourteen million, one hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 9 19 57 61 171 183 549 1159 3477 10431 40294711 120884133 362652399 765599509 2296798527 2457977371 6890395581 7373932113 22121796339 46701570049 140104710147 420314130441