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40352230431 = 3359130719381
BaseRepresentation
bin100101100101001011…
…100010110000011111
310212011012211200211000
4211211023202300133
51130120132333211
630312040201343
72625652204452
oct454513426037
9125135750730
1040352230431
1116127866a77
1279a1a69253
133a61039a36
141d4b299499
1510b28b1656
hex9652e2c1f

40352230431 has 32 divisors (see below), whose sum is σ = 60843974400. Its totient is φ = 26423932320.

The previous prime is 40352230427. The next prime is 40352230453. The reversal of 40352230431 is 13403225304.

40352230431 is a `hidden beast` number, since 4 + 0 + 3 + 5 + 223 + 0 + 431 = 666.

40352230431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40352230431 - 22 = 40352230427 is a prime.

It is a super-2 number, since 2×403522304312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40352230395 and 40352230404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40352230411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2072361 + ... + 2091741.

It is an arithmetic number, because the mean of its divisors is an integer number (1901374200).

Almost surely, 240352230431 is an apocalyptic number.

40352230431 is a deficient number, since it is larger than the sum of its proper divisors (20491743969).

40352230431 is a wasteful number, since it uses less digits than its factorization.

40352230431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20756 (or 20750 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 40352230431 its reverse (13403225304), we get a palindrome (53755455735).

The spelling of 40352230431 in words is "forty billion, three hundred fifty-two million, two hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 59 177 531 1307 1593 3921 11763 19381 35289 58143 77113 174429 231339 523287 694017 1143479 2082051 3430437 10291311 25330967 30873933 75992901 227978703 683936109 1494527053 4483581159 13450743477 40352230431