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40144424303421 = 3237281429017177
BaseRepresentation
bin10010010000010110110100…
…01001100111101100111101
312021010202202221201210101100
421020023122021213230331
520230211240110202141
6221214032142203313
711312224154262564
oct1110133211475475
9167122687653340
1040144424303421
1111878177a57919
124604312583539
1319527ab94b879
149cb00154abdb
154993ae0780b6
hex2482da267b3d

40144424303421 has 24 divisors (see below), whose sum is σ = 59765525032824. Its totient is φ = 25946958804480.

The previous prime is 40144424303341. The next prime is 40144424303443. The reversal of 40144424303421 is 12430342444104.

40144424303421 is a `hidden beast` number, since 4 + 0 + 144 + 42 + 430 + 3 + 42 + 1 = 666.

40144424303421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11617224644025 + 28527199659396 = 3408405^2 + 5341086^2 .

It is not a de Polignac number, because 40144424303421 - 29 = 40144424302909 is a prime.

It is a super-2 number, since 2×401444243034212 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40144424303471) 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 23 ways as a sum of consecutive naturals, for example, 214415016 + ... + 214602161.

It is an arithmetic number, because the mean of its divisors is an integer number (2490230209701).

Almost surely, 240144424303421 is an apocalyptic number.

It is an amenable number.

40144424303421 is a deficient number, since it is larger than the sum of its proper divisors (19621100729403).

40144424303421 is a wasteful number, since it uses less digits than its factorization.

40144424303421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429017501 (or 429017498 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 40144424303421 its reverse (12430342444104), we get a palindrome (52574766747525).

The spelling of 40144424303421 in words is "forty trillion, one hundred forty-four billion, four hundred twenty-four million, three hundred three thousand, four hundred twenty-one".

Divisors: 1 3 9 37 111 281 333 843 2529 10397 31191 93573 429017177 1287051531 3861154593 15873635549 47620906647 120553826737 142862719941 361661480211 1084984440633 4460491589269 13381474767807 40144424303421