Search a number
-
+
354221363120437 is a prime number
BaseRepresentation
bin101000010001010011001011…
…0100001010100100100110101
31201110012020020211120012101101
41100202212112201110210311
5332412030322424323222
63253211014151330101
7134416435406540311
oct12042462641244465
91643166224505341
10354221363120437
11a2958488a49a0a
123388a581980931
1312285c14b55647
1463685967b8b41
152ae419d176927
hex1422996854935

354221363120437 has 2 divisors, whose sum is σ = 354221363120438. Its totient is φ = 354221363120436.

The previous prime is 354221363120431. The next prime is 354221363120453. The reversal of 354221363120437 is 734021363122453.

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., 240413986973521 + 113807376146916 = 15505289^2 + 10668054^2 .

It is a cyclic number.

It is not a de Polignac number, because 354221363120437 - 231 = 354219215636789 is a prime.

It is a super-3 number, since 3×3542213631204373 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (354221363120431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 177110681560218 + 177110681560219.

It is an arithmetic number, because the mean of its divisors is an integer number (177110681560219).

Almost surely, 2354221363120437 is an apocalyptic number.

It is an amenable number.

354221363120437 is a deficient number, since it is larger than the sum of its proper divisors (1).

354221363120437 is an equidigital number, since it uses as much as digits as its factorization.

354221363120437 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2177280, while the sum is 46.

The spelling of 354221363120437 in words is "three hundred fifty-four trillion, two hundred twenty-one billion, three hundred sixty-three million, one hundred twenty thousand, four hundred thirty-seven".