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40324012020 = 22325224022289
BaseRepresentation
bin100101100011011111…
…111001011111110100
310212002020202001102200
4211203133321133310
51130040421341040
630305151304500
72625160306155
oct454337713764
9125066661380
1040324012020
1116112943076
12799451b130
133a58239956
141d4763192c
1510b018a630
hex9637f97f4

40324012020 has 36 divisors (see below), whose sum is σ = 122316170340. Its totient is φ = 10753069824.

The previous prime is 40324012013. The next prime is 40324012021. The reversal of 40324012020 is 2021042304.

40324012020 is a `hidden beast` number, since 403 + 240 + 1 + 2 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26552050704 + 13771961316 = 162948^2 + 117354^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40324011984 and 40324012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40324012021) 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 11 ways as a sum of consecutive naturals, for example, 112010965 + ... + 112011324.

Almost surely, 240324012020 is an apocalyptic number.

It is an amenable number.

40324012020 is an abundant number, since it is smaller than the sum of its proper divisors (81992158320).

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

40324012020 is a wasteful number, since it uses less digits than its factorization.

40324012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224022304 (or 224022299 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40324012020 its reverse (2021042304), we get a palindrome (42345054324).

The spelling of 40324012020 in words is "forty billion, three hundred twenty-four million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 224022289 448044578 672066867 896089156 1120111445 1344133734 2016200601 2240222890 2688267468 3360334335 4032401202 4480445780 6720668670 8064802404 10081003005 13441337340 20162006010 40324012020