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420222440016 = 24322918211389
BaseRepresentation
bin1100001110101110011…
…01011001001001010000
31111011200000122202120200
412013113031121021100
523341103421040031
6521014133135200
742234334543041
oct6072715311120
91434600582520
10420222440016
11152240680945
126953778a500
133081c129192
14164a5c2c8c8
15ade6e528e6
hex61d7359250

420222440016 has 30 divisors (see below), whose sum is σ = 1176039190170. Its totient is φ = 140074146624.

The previous prime is 420222439957. The next prime is 420222440021. The reversal of 420222440016 is 610044222024.

420222440016 is a `hidden beast` number, since 4 + 20 + 2 + 224 + 400 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 242560190016 + 177662250000 = 492504^2 + 421500^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1459105551 + ... + 1459105838.

It is an arithmetic number, because the mean of its divisors is an integer number (39201306339).

Almost surely, 2420222440016 is an apocalyptic number.

It is an amenable number.

420222440016 is an abundant number, since it is smaller than the sum of its proper divisors (755816750154).

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

420222440016 is a wasteful number, since it uses less digits than its factorization.

420222440016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918211403 (or 2918211394 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 420222440016 in words is "four hundred twenty billion, two hundred twenty-two million, four hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2918211389 5836422778 8754634167 11672845556 17509268334 23345691112 26263902501 35018536668 46691382224 52527805002 70037073336 105055610004 140074146672 210111220008 420222440016