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40404420220240 = 2451393633491027
BaseRepresentation
bin10010010111111011000110…
…00111010101010101010000
312022001121212111220211120001
421023331203013111111100
520243441223034021430
6221533311233055344
711340060125150146
oct1113754307252520
9168047774824501
1040404420220240
111196846696734a
1246467926b7554
1319711748c852b
149d982773b596
154a10296e53ca
hex24bf631d5550

40404420220240 has 40 divisors (see below), whose sum is σ = 94616106369120. Its totient is φ = 16045496370816.

The previous prime is 40404420220201. The next prime is 40404420220243. The reversal of 40404420220240 is 4202202440404.

40404420220240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 40404420220199 and 40404420220208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40404420220243) 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 7 ways as a sum of consecutive naturals, for example, 1816734394 + ... + 1816756633.

It is an arithmetic number, because the mean of its divisors is an integer number (2365402659228).

Almost surely, 240404420220240 is an apocalyptic number.

40404420220240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40404420220240 is an abundant number, since it is smaller than the sum of its proper divisors (54211686148880).

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

40404420220240 is a wasteful number, since it uses less digits than its factorization.

40404420220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633491179 (or 3633491173 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40404420220240 its reverse (4202202440404), we get a palindrome (44606622660644).

The spelling of 40404420220240 in words is "forty trillion, four hundred four billion, four hundred twenty million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 3633491027 7266982054 14533964108 18167455135 29067928216 36334910270 58135856432 72669820540 145339641080 290679282160 505055252753 1010110505506 2020221011012 2525276263765 4040442022024 5050552527530 8080884044048 10101105055060 20202210110120 40404420220240