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431442048357 = 32172819882669
BaseRepresentation
bin1100100011100111111…
…00110011010101100101
31112020121221022220211100
412101303330303111211
524032043131021412
6530111324230313
743112351621325
oct6216374632545
91466557286740
10431442048357
11156a78874731
126b74909b399
13318b96b4b98
1416c4bd47285
15b351e20edc
hex6473f33565

431442048357 has 12 divisors (see below), whose sum is σ = 659852544780. Its totient is φ = 270708736128.

The previous prime is 431442048293. The next prime is 431442048383. The reversal of 431442048357 is 753840244134.

431442048357 is a `hidden beast` number, since 4 + 3 + 144 + 20 + 483 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 354931169121 + 76510879236 = 595761^2 + 276606^2 .

It is not a de Polignac number, because 431442048357 - 26 = 431442048293 is a prime.

It is a super-2 number, since 2×4314420483572 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431442058357) 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, 1409941182 + ... + 1409941487.

It is an arithmetic number, because the mean of its divisors is an integer number (54987712065).

Almost surely, 2431442048357 is an apocalyptic number.

It is an amenable number.

431442048357 is a deficient number, since it is larger than the sum of its proper divisors (228410496423).

431442048357 is a wasteful number, since it uses less digits than its factorization.

431442048357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819882692 (or 2819882689 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 431442048357 in words is "four hundred thirty-one billion, four hundred forty-two million, forty-eight thousand, three hundred fifty-seven".

Divisors: 1 3 9 17 51 153 2819882669 8459648007 25378944021 47938005373 143814016119 431442048357