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146334331457 is a prime number
BaseRepresentation
bin1000100001001000110…
…1001011001001000001
3111222201021212020221222
42020102031023021001
54344143042101312
6151120340324425
713400205202646
oct2102215131101
9458637766858
10146334331457
1157072a08116
122443b0a3715
1310a50cb9212
1471229c9dcd
153c16d9a672
hex221234b241

146334331457 has 2 divisors, whose sum is σ = 146334331458. Its totient is φ = 146334331456.

The previous prime is 146334331439. The next prime is 146334331469. The reversal of 146334331457 is 754133433641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84795110416 + 61539221041 = 291196^2 + 248071^2 .

It is a cyclic number.

It is not a de Polignac number, because 146334331457 - 222 = 146330137153 is a prime.

It is not a weakly prime, because it can be changed into another prime (146334331427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73167165728 + 73167165729.

It is an arithmetic number, because the mean of its divisors is an integer number (73167165729).

Almost surely, 2146334331457 is an apocalyptic number.

It is an amenable number.

146334331457 is a deficient number, since it is larger than the sum of its proper divisors (1).

146334331457 is an equidigital number, since it uses as much as digits as its factorization.

146334331457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1088640, while the sum is 44.

The spelling of 146334331457 in words is "one hundred forty-six billion, three hundred thirty-four million, three hundred thirty-one thousand, four hundred fifty-seven".