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31241344041 = 3241617319013
BaseRepresentation
bin11101000110001000…
…010001010000101001
32222122021002201021100
4131012020101100221
51002440241002131
622204014232013
72154122020455
oct350610212051
988567081240
1031241344041
1112281a191a6
12607a7b5609
132c3b603abb
14172525b665
15c2cace7e6
hex746211429

31241344041 has 48 divisors (see below), whose sum is σ = 47630982672. Its totient is φ = 19711641600.

The previous prime is 31241344037. The next prime is 31241344063. The reversal of 31241344041 is 14044314213.

31241344041 is a `hidden beast` number, since 3 + 124 + 134 + 404 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20306250000 + 10935094041 = 142500^2 + 104571^2 .

It is not a de Polignac number, because 31241344041 - 22 = 31241344037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31241343996 and 31241344014.

It is not an unprimeable number, because it can be changed into a prime (31241344031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1633651 + ... + 1652663.

It is an arithmetic number, because the mean of its divisors is an integer number (992312139).

Almost surely, 231241344041 is an apocalyptic number.

It is an amenable number.

31241344041 is a deficient number, since it is larger than the sum of its proper divisors (16389638631).

31241344041 is a wasteful number, since it uses less digits than its factorization.

31241344041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19194 (or 19191 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31241344041 its reverse (14044314213), we get a palindrome (45285658254).

The spelling of 31241344041 in words is "thirty-one billion, two hundred forty-one million, three hundred forty-four thousand, forty-one".

Divisors: 1 3 9 41 61 73 123 183 219 369 549 657 2501 2993 4453 7503 8979 13359 19013 22509 26937 40077 57039 171117 182573 547719 779533 1159793 1387949 1643157 2338599 3479379 4163847 7015797 10438137 12491541 47551513 56905909 84664889 142654539 170717727 253994667 427963617 512153181 761984001 3471260449 10413781347 31241344041