Search a number
-
+
3141400041413 is a prime number
BaseRepresentation
bin101101101101101010000…
…010001001011111000101
3102010022111120101121221222
4231231222002021133011
5402432041402311123
610403050025050125
7442646551530554
oct55555202113705
912108446347858
103141400041413
111001295477737
124289a8626945
1319a30448646a
14ac08a447d9b
1556aad3176c8
hex2db6a0897c5

3141400041413 has 2 divisors, whose sum is σ = 3141400041414. Its totient is φ = 3141400041412.

The previous prime is 3141400041379. The next prime is 3141400041433.

It is a happy number.

3141400041413 is nontrivially palindromic in base 10.

3141400041413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2649335671684 + 492064369729 = 1627678^2 + 701473^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3141400041413 - 212 = 3141400037317 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3141400041433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1570700020706 + 1570700020707.

It is an arithmetic number, because the mean of its divisors is an integer number (1570700020707).

Almost surely, 23141400041413 is an apocalyptic number.

It is an amenable number.

3141400041413 is a deficient number, since it is larger than the sum of its proper divisors (1).

3141400041413 is an equidigital number, since it uses as much as digits as its factorization.

3141400041413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 31414000 and 41413, that added together give a palindrome (31455413).

The spelling of 3141400041413 in words is "three trillion, one hundred forty-one billion, four hundred million, forty-one thousand, four hundred thirteen".