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431072144 = 24137196657
BaseRepresentation
bin11001101100011…
…010001110010000
31010001010201210222
4121230122032100
51340323302034
6110435212212
713453024046
oct3154321620
91101121728
10431072144
11201368978
12100447068
136b400599
1441372396
1527ca012e
hex19b1a390

431072144 has 20 divisors (see below), whose sum is σ = 841302924. Its totient is φ = 213961728.

The previous prime is 431072129. The next prime is 431072149. The reversal of 431072144 is 441270134.

It can be written as a sum of positive squares in 2 ways, for example, as 319980544 + 111091600 = 17888^2 + 10540^2 .

It is not an unprimeable number, because it can be changed into a prime (431072149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96137 + ... + 100520.

Almost surely, 2431072144 is an apocalyptic number.

It is an amenable number.

431072144 is a deficient number, since it is larger than the sum of its proper divisors (410230780).

431072144 is a wasteful number, since it uses less digits than its factorization.

431072144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196802 (or 196796 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 431072144 is about 20762.2769464238. The cubic root of 431072144 is about 755.4110265778.

The spelling of 431072144 in words is "four hundred thirty-one million, seventy-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 137 274 548 1096 2192 196657 393314 786628 1573256 3146512 26942009 53884018 107768036 215536072 431072144