Search a number
-
+
41403034013093 is a prime number
BaseRepresentation
bin10010110100111111001010…
…01000101000110110100101
312102121002110121221122022122
421122133211020220312211
520411321403201404333
6224020142524235325
711502161531301014
oct1132374510506645
9172532417848278
1041403034013093
1112212a233642a5
12478822839bb45
131a1439b93464c
14a31cbba22a7b
154bbec43dd798
hex25a7e5228da5

41403034013093 has 2 divisors, whose sum is σ = 41403034013094. Its totient is φ = 41403034013092.

The previous prime is 41403034013087. The next prime is 41403034013141. The reversal of 41403034013093 is 39031043030414.

It is a happy number.

41403034013093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40437605929249 + 965428083844 = 6359057^2 + 982562^2 .

It is a cyclic number.

It is not a de Polignac number, because 41403034013093 - 222 = 41403029818789 is a prime.

It is a super-2 number, since 2×414030340130932 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41403034043093) 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 as a sum of consecutive naturals, namely, 20701517006546 + 20701517006547.

It is an arithmetic number, because the mean of its divisors is an integer number (20701517006547).

Almost surely, 241403034013093 is an apocalyptic number.

It is an amenable number.

41403034013093 is a deficient number, since it is larger than the sum of its proper divisors (1).

41403034013093 is an equidigital number, since it uses as much as digits as its factorization.

41403034013093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 41403034013093 in words is "forty-one trillion, four hundred three billion, thirty-four million, thirteen thousand, ninety-three".