Search a number
-
+
344170946681 is a prime number
BaseRepresentation
bin1010000001000100010…
…11111110000001111001
31012220100212100121110022
411000202023332001321
521114330230243211
6422035425500225
733602606530502
oct5004213760171
91186325317408
10344170946681
11122a64588311
12568521a1675
13265bc056a53
141292d641ba9
158e45436bdb
hex50222fe079

344170946681 has 2 divisors, whose sum is σ = 344170946682. Its totient is φ = 344170946680.

The previous prime is 344170946663. The next prime is 344170946699. The reversal of 344170946681 is 186649071443.

It is a balanced prime because it is at equal distance from previous prime (344170946663) and next prime (344170946699).

It can be written as a sum of positive squares in only one way, i.e., 241552590400 + 102618356281 = 491480^2 + 320341^2 .

It is a cyclic number.

It is not a de Polignac number, because 344170946681 - 218 = 344170684537 is a prime.

It is a super-2 number, since 2×3441709466812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (344170946641) 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, 172085473340 + 172085473341.

It is an arithmetic number, because the mean of its divisors is an integer number (172085473341).

Almost surely, 2344170946681 is an apocalyptic number.

It is an amenable number.

344170946681 is a deficient number, since it is larger than the sum of its proper divisors (1).

344170946681 is an equidigital number, since it uses as much as digits as its factorization.

344170946681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 344170946681 in words is "three hundred forty-four billion, one hundred seventy million, nine hundred forty-six thousand, six hundred eighty-one".