Search a number
-
+
1378325824321 is a prime number
BaseRepresentation
bin10100000011101010100…
…111110000001101000001
311212202200220012120221111
4110003222213300031001
5140040302402334241
62533105533523321
7201403125125335
oct24035247601501
94782626176844
101378325824321
114915a9aa4306
121a3166643541
139cc8b425154
144a9d5c417c5
1525cc0441c81
hex140ea9f0341

1378325824321 has 2 divisors, whose sum is σ = 1378325824322. Its totient is φ = 1378325824320.

The previous prime is 1378325824277. The next prime is 1378325824327. The reversal of 1378325824321 is 1234285238731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1076665640625 + 301660183696 = 1037625^2 + 549236^2 .

It is a cyclic number.

It is not a de Polignac number, because 1378325824321 - 213 = 1378325816129 is a prime.

It is a super-2 number, since 2×13783258243212 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1378325824327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 689162912160 + 689162912161.

It is an arithmetic number, because the mean of its divisors is an integer number (689162912161).

Almost surely, 21378325824321 is an apocalyptic number.

It is an amenable number.

1378325824321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1378325824321 is an equidigital number, since it uses as much as digits as its factorization.

1378325824321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1935360, while the sum is 49.

The spelling of 1378325824321 in words is "one trillion, three hundred seventy-eight billion, three hundred twenty-five million, eight hundred twenty-four thousand, three hundred twenty-one".