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146631440233 is a prime number
BaseRepresentation
bin1000100010001111101…
…0100011011101101001
3112000110222220221120201
42020203322203131221
54400300122041413
6151210032352201
713410443451205
oct2104372433551
9460428827521
10146631440233
1157205697363
12245026a5661
1310a9a714025
147150249b05
153c32ed79dd
hex2223ea3769

146631440233 has 2 divisors, whose sum is σ = 146631440234. Its totient is φ = 146631440232.

The previous prime is 146631440099. The next prime is 146631440251. The reversal of 146631440233 is 332044136641.

146631440233 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., 80557765929 + 66073674304 = 283827^2 + 257048^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146631440233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146631440192 and 146631440201.

It is not a weakly prime, because it can be changed into another prime (146631440533) 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, 73315720116 + 73315720117.

It is an arithmetic number, because the mean of its divisors is an integer number (73315720117).

Almost surely, 2146631440233 is an apocalyptic number.

It is an amenable number.

146631440233 is a deficient number, since it is larger than the sum of its proper divisors (1).

146631440233 is an equidigital number, since it uses as much as digits as its factorization.

146631440233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 37.

Adding to 146631440233 its reverse (332044136641), we get a palindrome (478675576874).

The spelling of 146631440233 in words is "one hundred forty-six billion, six hundred thirty-one million, four hundred forty thousand, two hundred thirty-three".