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40141421320441 = 7217189132547929
BaseRepresentation
bin10010010000010001001110…
…01010001001100011111001
312021010111000200002110011111
421020020213022021203321
520230134112324223231
6221212414150000321
711312056561324300
oct1110104712114371
9167114020073144
1040141421320441
111187697693a301
1246038149460a1
13195242076166c
149cabd87a9437
154992855e54b1
hex2482272898f9

40141421320441 has 24 divisors (see below), whose sum is σ = 49444528268520. Its totient is φ = 32381270433792.

The previous prime is 40141421320423. The next prime is 40141421320457. The reversal of 40141421320441 is 14402312414104.

It can be written as a sum of positive squares in 4 ways, for example, as 31744153298025 + 8397268022416 = 5634195^2 + 2897804^2 .

It is not a de Polignac number, because 40141421320441 - 213 = 40141421312249 is a prime.

It is a super-2 number, since 2×401414213204412 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40141421323441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14480565 + ... + 17028493.

It is an arithmetic number, because the mean of its divisors is an integer number (2060188677855).

Almost surely, 240141421320441 is an apocalyptic number.

It is an amenable number.

40141421320441 is a deficient number, since it is larger than the sum of its proper divisors (9303106948079).

40141421320441 is a wasteful number, since it uses less digits than its factorization.

40141421320441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566873 (or 2566866 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 40141421320441 its reverse (14402312414104), we get a palindrome (54543733734545).

The spelling of 40141421320441 in words is "forty trillion, one hundred forty-one billion, four hundred twenty-one million, three hundred twenty thousand, four hundred forty-one".

Divisors: 1 7 17 49 119 833 18913 132391 321521 926737 2250647 2547929 15754529 17835503 43314793 124848521 303203551 2122424857 48188981177 337322868239 819212680009 2361260077673 5734488760063 40141421320441