Search a number
-
+
362145211337449 is a prime number
BaseRepresentation
bin101001001010111101000000…
…0101011011100101011101001
31202111020202002102221012120201
41102111322000223130223221
5334431341343100244244
63322115114030352201
7136165061636224531
oct12225720053345351
91674222072835521
10362145211337449
11a5432a1576a501
123474a20265b661
131270c1ba961a87
14655dcc94024c1
152bd03648b0ad4
hex1495e80adcae9

362145211337449 has 2 divisors, whose sum is σ = 362145211337450. Its totient is φ = 362145211337448.

The previous prime is 362145211337401. The next prime is 362145211337467. The reversal of 362145211337449 is 944733112541263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335609319647449 + 26535891690000 = 18319643^2 + 5151300^2 .

It is a cyclic number.

It is not a de Polignac number, because 362145211337449 - 243 = 353349118315241 is a prime.

It is a super-2 number, since 2×3621452113374492 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 362145211337449.

It is not a weakly prime, because it can be changed into another prime (362145211335449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181072605668724 + 181072605668725.

It is an arithmetic number, because the mean of its divisors is an integer number (181072605668725).

Almost surely, 2362145211337449 is an apocalyptic number.

It is an amenable number.

362145211337449 is a deficient number, since it is larger than the sum of its proper divisors (1).

362145211337449 is an equidigital number, since it uses as much as digits as its factorization.

362145211337449 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13063680, while the sum is 55.

The spelling of 362145211337449 in words is "three hundred sixty-two trillion, one hundred forty-five billion, two hundred eleven million, three hundred thirty-seven thousand, four hundred forty-nine".