Search a number
-
+
146042624302433 is a prime number
BaseRepresentation
bin100001001101001100110010…
…101111100101110101100001
3201011002112112120221000011022
4201031030302233211311201
5123120230243310134213
61234335015544455225
742522142242300455
oct4115146257456541
9634075476830138
10146042624302433
1142596369105a21
121446805747a515
1363649b6724511
14280c702014665
1511d3d8553c308
hex84d332be5d61

146042624302433 has 2 divisors, whose sum is σ = 146042624302434. Its totient is φ = 146042624302432.

The previous prime is 146042624302307. The next prime is 146042624302439. The reversal of 146042624302433 is 334203426240641.

It is a happy number.

146042624302433 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., 107814829425664 + 38227794876769 = 10383392^2 + 6182863^2 .

It is a cyclic number.

It is not a de Polignac number, because 146042624302433 - 222 = 146042620108129 is a prime.

It is a super-2 number, since 2×1460426243024332 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (146042624302439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73021312151216 + 73021312151217.

It is an arithmetic number, because the mean of its divisors is an integer number (73021312151217).

Almost surely, 2146042624302433 is an apocalyptic number.

It is an amenable number.

146042624302433 is a deficient number, since it is larger than the sum of its proper divisors (1).

146042624302433 is an equidigital number, since it uses as much as digits as its factorization.

146042624302433 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1990656, while the sum is 44.

The spelling of 146042624302433 in words is "one hundred forty-six trillion, forty-two billion, six hundred twenty-four million, three hundred two thousand, four hundred thirty-three".