Search a number
-
+
142120304321969 is a prime number
BaseRepresentation
bin100000010100000111110110…
…010000010010010110110001
3200122012120100100220011022202
4200110013312100102112301
5122111444340401300334
61222133055543112545
741635565425456451
oct4024076620222661
9618176310804282
10142120304321969
11413139787a2806
1213b33a4a442755
13613bb6c2111ac
14271493369dd61
151166d1e03417e
hex8141f64125b1

142120304321969 has 2 divisors, whose sum is σ = 142120304321970. Its totient is φ = 142120304321968.

The previous prime is 142120304321927. The next prime is 142120304322089. The reversal of 142120304321969 is 969123403021241.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137775009817600 + 4345294504369 = 11737760^2 + 2084537^2 .

It is a cyclic number.

It is not a de Polignac number, because 142120304321969 - 232 = 142116009354673 is a prime.

It is a super-2 number, since 2×1421203043219692 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (142120304326969) 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, 71060152160984 + 71060152160985.

It is an arithmetic number, because the mean of its divisors is an integer number (71060152160985).

Almost surely, 2142120304321969 is an apocalyptic number.

It is an amenable number.

142120304321969 is a deficient number, since it is larger than the sum of its proper divisors (1).

142120304321969 is an equidigital number, since it uses as much as digits as its factorization.

142120304321969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 559872, while the sum is 47.

The spelling of 142120304321969 in words is "one hundred forty-two trillion, one hundred twenty billion, three hundred four million, three hundred twenty-one thousand, nine hundred sixty-nine".