Search a number
-
+
1398618034337 is a prime number
BaseRepresentation
bin10100010110100100001…
…000011001000010100001
311221201002002120122222102
4110112210020121002201
5140403332204044322
62550303302220145
7203022026065436
oct24264410310241
94851062518872
101398618034337
1149a172467007
121a708a424655
13a1b73500c04
144b99cc6db8d
15265abb7d792
hex145a42190a1

1398618034337 has 2 divisors, whose sum is σ = 1398618034338. Its totient is φ = 1398618034336.

The previous prime is 1398618034313. The next prime is 1398618034351. The reversal of 1398618034337 is 7334308168931.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 788275846801 + 610342187536 = 887849^2 + 781244^2 .

It is a cyclic number.

It is not a de Polignac number, because 1398618034337 - 212 = 1398618030241 is a prime.

It is a super-3 number, since 3×13986180343373 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1398678034337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 699309017168 + 699309017169.

It is an arithmetic number, because the mean of its divisors is an integer number (699309017169).

Almost surely, 21398618034337 is an apocalyptic number.

It is an amenable number.

1398618034337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1398618034337 is an equidigital number, since it uses as much as digits as its factorization.

1398618034337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 1398618034337 in words is "one trillion, three hundred ninety-eight billion, six hundred eighteen million, thirty-four thousand, three hundred thirty-seven".