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41304401312031 = 32111359543958507
BaseRepresentation
bin10010110010000111011100…
…01010101111100100011111
312102020122212202010021121100
421121003232022233210133
520403212403213441111
6223502551403204143
711462100366206544
oct1131035612574437
9172218782107540
1041304401312031
1112185109812120
1247710a0516653
131a07cb0494140
14a2b202400bcb
154b9650239756
hex2590ee2af91f

41304401312031 has 48 divisors (see below), whose sum is σ = 71280322888320. Its totient is φ = 22715707210560.

The previous prime is 41304401311997. The next prime is 41304401312077. The reversal of 41304401312031 is 13021310440314.

41304401312031 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 440 + 13 + 1 + 203 + 1 = 666.

It is not a de Polignac number, because 41304401312031 - 230 = 41303327570207 is a prime.

It is a super-2 number, since 2×413044013120312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41304401311986 and 41304401312004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41304401312131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271903321 + ... + 272055186.

It is an arithmetic number, because the mean of its divisors is an integer number (1485006726840).

Almost surely, 241304401312031 is an apocalyptic number.

41304401312031 is a deficient number, since it is larger than the sum of its proper divisors (29975921576289).

41304401312031 is a wasteful number, since it uses less digits than its factorization.

41304401312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543958596 (or 543958593 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41304401312031 its reverse (13021310440314), we get a palindrome (54325711752345).

The spelling of 41304401312031 in words is "forty-one trillion, three hundred four billion, four hundred one million, three hundred twelve thousand, thirty-one".

Divisors: 1 3 9 11 13 33 39 59 99 117 143 177 429 531 649 767 1287 1947 2301 5841 6903 8437 25311 75933 543958507 1631875521 4895626563 5983543577 7071460591 17950630731 21214381773 32093551913 53851892193 63643145319 77786066501 96280655739 233358199503 288841967217 353029071043 417216174869 700074598509 1059087213129 1251648524607 3177261639387 3754945573821 4589377923559 13768133770677 41304401312031