Search a number
-
+
41404301093 is a prime number
BaseRepresentation
bin100110100011111000…
…110111111100100101
310221212112111102110002
4212203320313330211
51134244000113333
631004301511045
72664015516041
oct464370677445
9127775442402
1041404301093
1116617715261
128036272485
133b9aca895c
14200acbd021
151124e2b0e8
hex9a3e37f25

41404301093 has 2 divisors, whose sum is σ = 41404301094. Its totient is φ = 41404301092.

The previous prime is 41404301087. The next prime is 41404301173. The reversal of 41404301093 is 39010340414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39337962244 + 2066338849 = 198338^2 + 45457^2 .

It is a cyclic number.

It is not a de Polignac number, because 41404301093 - 214 = 41404284709 is a prime.

It is a super-2 number, since 2×414043010932 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41404301033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20702150546 + 20702150547.

It is an arithmetic number, because the mean of its divisors is an integer number (20702150547).

Almost surely, 241404301093 is an apocalyptic number.

It is an amenable number.

41404301093 is a deficient number, since it is larger than the sum of its proper divisors (1).

41404301093 is an equidigital number, since it uses as much as digits as its factorization.

41404301093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 41404301093 in words is "forty-one billion, four hundred four million, three hundred one thousand, ninety-three".