Search a number
-
+
4046605071401 is a prime number
BaseRepresentation
bin111010111000101100011…
…101010011010000101001
3112022211222212100122000202
4322320230131103100221
51012244421344241101
612334552410241545
7565233434402624
oct72705435232051
915284885318022
104046605071401
111320179082602
12554313a262b5
132347933c9a69
14ddbdcc22dbb
15703dc79a36b
hex3ae2c753429

4046605071401 has 2 divisors, whose sum is σ = 4046605071402. Its totient is φ = 4046605071400.

The previous prime is 4046605071373. The next prime is 4046605071407. The reversal of 4046605071401 is 1041705066404.

4046605071401 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., 3015362790400 + 1031242281001 = 1736480^2 + 1015501^2 .

It is a cyclic number.

It is not a de Polignac number, because 4046605071401 - 210 = 4046605070377 is a prime.

It is not a weakly prime, because it can be changed into another prime (4046605071407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2023302535700 + 2023302535701.

It is an arithmetic number, because the mean of its divisors is an integer number (2023302535701).

Almost surely, 24046605071401 is an apocalyptic number.

It is an amenable number.

4046605071401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4046605071401 is an equidigital number, since it uses as much as digits as its factorization.

4046605071401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 4046605071401 in words is "four trillion, forty-six billion, six hundred five million, seventy-one thousand, four hundred one".