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146448000311 is a prime number
BaseRepresentation
bin1000100001100011111…
…0110010010100110111
3112000000012202020022112
42020120332302110313
54344411142002221
6151135520521235
713403055315014
oct2103076622467
9460005666275
10146448000311
1157121095218
122447118021b
1310a6b7074b2
147133b3870b
153c21d5015b
hex2218fb2537

146448000311 has 2 divisors, whose sum is σ = 146448000312. Its totient is φ = 146448000310.

The previous prime is 146448000299. The next prime is 146448000317. The reversal of 146448000311 is 113000844641.

146448000311 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 is a cyclic number.

It is not a de Polignac number, because 146448000311 - 210 = 146447999287 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (146448000317) 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, 73224000155 + 73224000156.

It is an arithmetic number, because the mean of its divisors is an integer number (73224000156).

Almost surely, 2146448000311 is an apocalyptic number.

146448000311 is a deficient number, since it is larger than the sum of its proper divisors (1).

146448000311 is an equidigital number, since it uses as much as digits as its factorization.

146448000311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 146448000311 its reverse (113000844641), we get a palindrome (259448844952).

The spelling of 146448000311 in words is "one hundred forty-six billion, four hundred forty-eight million, three hundred eleven", and thus it is an aban number.