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420445055300301 = 32451921103372309
BaseRepresentation
bin101111110011001000111111…
…0001010110011001011001101
32001010200011011210210101121100
41133212101332022303023031
5420102032433124102201
64050113443020453313
7154363103263415013
oct13746217612631315
92033604153711540
10420445055300301
11111a6a823811aa9
123b1a509a3aa239
131507aa4c673a15
1475b79137b08b3
153391b1a0c1886
hex17e647e2b32cd

420445055300301 has 12 divisors (see below), whose sum is σ = 607310874037660. Its totient is φ = 280296080588160.

The previous prime is 420445055300209. The next prime is 420445055300329. The reversal of 420445055300301 is 103003550544024.

420445055300301 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 45 + 0 + 5 + 5 + 300 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 172377074270025 + 248067981030276 = 13129245^2 + 15750174^2 .

It is not a de Polignac number, because 420445055300301 - 27 = 420445055300173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420445055300401) 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, 47618866 + ... + 55753443.

Almost surely, 2420445055300301 is an apocalyptic number.

It is an amenable number.

420445055300301 is a deficient number, since it is larger than the sum of its proper divisors (186865818737359).

420445055300301 is a wasteful number, since it uses less digits than its factorization.

420445055300301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103824236 (or 103824233 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 420445055300301 in words is "four hundred twenty trillion, four hundred forty-five billion, fifty-five million, three hundred thousand, three hundred one".

Divisors: 1 3 9 451921 1355763 4067289 103372309 310116927 930350781 46716117255589 140148351766767 420445055300301