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42531040431 = 32116123393011
BaseRepresentation
bin100111100111000011…
…000010110010101111
311001210001122201020200
4213213003002302233
51144100421243211
631312151444543
73033646610265
oct474703026257
9131701581220
1042531040431
11170457331a0
1282ab686753
13401a55c419
1420b67bc435
15118dce4b56
hex9e70c2caf

42531040431 has 48 divisors (see below), whose sum is σ = 68169029760. Its totient is φ = 25334568000.

The previous prime is 42531040421. The next prime is 42531040459. The reversal of 42531040431 is 13404013524.

It is a happy number.

42531040431 is a `hidden beast` number, since 4 + 253 + 1 + 0 + 404 + 3 + 1 = 666.

It is not a de Polignac number, because 42531040431 - 27 = 42531040303 is a prime.

It is a super-3 number, since 3×425310404313 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42531040395 and 42531040404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42531040411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14123716 + ... + 14126726.

It is an arithmetic number, because the mean of its divisors is an integer number (1420188120).

Almost surely, 242531040431 is an apocalyptic number.

42531040431 is a deficient number, since it is larger than the sum of its proper divisors (25637989329).

42531040431 is a wasteful number, since it uses less digits than its factorization.

42531040431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42531040431 its reverse (13404013524), we get a palindrome (55935053955).

The spelling of 42531040431 in words is "forty-two billion, five hundred thirty-one million, forty thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 61 99 183 549 671 2013 2339 3011 6039 7017 9033 21051 25729 27099 33121 77187 99363 142679 183671 231561 298089 428037 551013 1284111 1569469 1653039 2020381 4708407 6061143 7042729 14125221 18183429 21128187 63384561 77470019 232410057 429606469 697230171 1288819407 3866458221 4725671159 14177013477 42531040431