Search a number
-
+
420590765701361 is a prime number
BaseRepresentation
bin101111110100001100110101…
…1001011110111100011110001
32001011012002021121121200222002
41133220121223023313203301
5420111424342004420421
64050304421432223345
7154406452154402633
oct13750315313674361
92034162247550862
10420590765701361
111120165a6506a62
123b20938453ab55
131508b701305c48
1475c09b7584a53
1533957e72c3b0b
hex17e866b2f78f1

420590765701361 has 2 divisors, whose sum is σ = 420590765701362. Its totient is φ = 420590765701360.

The previous prime is 420590765701349. The next prime is 420590765701387. The reversal of 420590765701361 is 163107567095024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 349778119950736 + 70812645750625 = 18702356^2 + 8415025^2 .

It is a cyclic number.

It is not a de Polignac number, because 420590765701361 - 238 = 420315887794417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420590765701297 and 420590765701306.

It is not a weakly prime, because it can be changed into another prime (420590765706361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210295382850680 + 210295382850681.

It is an arithmetic number, because the mean of its divisors is an integer number (210295382850681).

Almost surely, 2420590765701361 is an apocalyptic number.

It is an amenable number.

420590765701361 is a deficient number, since it is larger than the sum of its proper divisors (1).

420590765701361 is an equidigital number, since it uses as much as digits as its factorization.

420590765701361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9525600, while the sum is 56.

The spelling of 420590765701361 in words is "four hundred twenty trillion, five hundred ninety billion, seven hundred sixty-five million, seven hundred one thousand, three hundred sixty-one".