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42120162225 = 3252187200721
BaseRepresentation
bin100111001110100011…
…101010101110110001
311000201102111221022100
4213032203222232301
51142230230142400
631203313131013
73020530320531
oct471643525661
9130642457270
1042120162225
1116954808329
1281b5b59a69
133c833ac61b
142077dc54c1
151167bd3100
hex9ce8eabb1

42120162225 has 18 divisors (see below), whose sum is σ = 75441890966. Its totient is φ = 22464086400.

The previous prime is 42120162221. The next prime is 42120162233. The reversal of 42120162225 is 52226102124.

42120162225 is a `hidden beast` number, since 4 + 2 + 12 + 0 + 1 + 622 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 322813089 + 41797349136 = 17967^2 + 204444^2 .

It is not a de Polignac number, because 42120162225 - 22 = 42120162221 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42120162221) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 93600136 + ... + 93600585.

Almost surely, 242120162225 is an apocalyptic number.

42120162225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42120162225 is a deficient number, since it is larger than the sum of its proper divisors (33321728741).

42120162225 is a wasteful number, since it uses less digits than its factorization.

42120162225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187200737 (or 187200729 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 42120162225 its reverse (52226102124), we get a palindrome (94346264349).

The spelling of 42120162225 in words is "forty-two billion, one hundred twenty million, one hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 187200721 561602163 936003605 1684806489 2808010815 4680018025 8424032445 14040054075 42120162225