Search a number
-
+
240673346201 is a prime number
BaseRepresentation
bin1110000000100100111…
…1111101001010011001
3212000012221100202100002
43200021033331022121
512420344334034301
6302321441022345
723250052455161
oct3401117751231
9760187322302
10240673346201
1193083914202
123a7890249b5
1319906a3ac32
14b911c895a1
1563d911616b
hex38093fd299

240673346201 has 2 divisors, whose sum is σ = 240673346202. Its totient is φ = 240673346200.

The previous prime is 240673346197. The next prime is 240673346233. The reversal of 240673346201 is 102643376042.

240673346201 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., 164689872400 + 75983473801 = 405820^2 + 275651^2 .

It is a cyclic number.

It is not a de Polignac number, because 240673346201 - 22 = 240673346197 is a prime.

It is a super-2 number, since 2×2406733462012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (240673342201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120336673100 + 120336673101.

It is an arithmetic number, because the mean of its divisors is an integer number (120336673101).

Almost surely, 2240673346201 is an apocalyptic number.

It is an amenable number.

240673346201 is a deficient number, since it is larger than the sum of its proper divisors (1).

240673346201 is an equidigital number, since it uses as much as digits as its factorization.

240673346201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 240673346201 in words is "two hundred forty billion, six hundred seventy-three million, three hundred forty-six thousand, two hundred one".