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40352344434040 = 2351008808610851
BaseRepresentation
bin10010010110011010000110…
…01001111110010101111000
312021212122110021010210120211
421023031003021332111320
520242113100133342130
6221453340000200504
711333234466236452
oct1113150311762570
9167778407123524
1040352344434040
11119483734a4411
12463867a609134
131969295a98062
149d70c74652d2
1549e9cc9bca2a
hex24b34327e578

40352344434040 has 16 divisors (see below), whose sum is σ = 90792774976680. Its totient is φ = 16140937773600.

The previous prime is 40352344434019. The next prime is 40352344434049. The reversal of 40352344434040 is 4043444325304.

40352344434040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×403523444340403 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 1008808610851 = 40352344434040 / (4 + 0 + 3 + 5 + 2 + 3 + 4 + 4 + 4 + 3 + 4 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 40352344433984 and 40352344434002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40352344434049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 504404305386 + ... + 504404305465.

Almost surely, 240352344434040 is an apocalyptic number.

40352344434040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40352344434040 is an abundant number, since it is smaller than the sum of its proper divisors (50440430542640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40352344434040 is a wasteful number, since it uses less digits than its factorization.

40352344434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008808610862 (or 1008808610858 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 40.

Adding to 40352344434040 its reverse (4043444325304), we get a palindrome (44395788759344).

The spelling of 40352344434040 in words is "forty trillion, three hundred fifty-two billion, three hundred forty-four million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1008808610851 2017617221702 4035234443404 5044043054255 8070468886808 10088086108510 20176172217020 40352344434040