Search a number
-
+
345401136881 is a prime number
BaseRepresentation
bin1010000011010111000…
…00110001011011110001
31020000112121011202011022
411001223200301123301
521124340142340011
6422401453025225
733645235136033
oct5015340613361
91200477152138
10345401136881
11123535a34429
1256b36185215
1326756b8b948
1412a08b8dc53
158eb84378db
hex506b8316f1

345401136881 has 2 divisors, whose sum is σ = 345401136882. Its totient is φ = 345401136880.

The previous prime is 345401136791. The next prime is 345401136887. The reversal of 345401136881 is 188631104543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 344733379600 + 667757281 = 587140^2 + 25841^2 .

It is a cyclic number.

It is not a de Polignac number, because 345401136881 - 222 = 345396942577 is a prime.

It is a super-2 number, since 2×3454011368812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (345401136887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172700568440 + 172700568441.

It is an arithmetic number, because the mean of its divisors is an integer number (172700568441).

Almost surely, 2345401136881 is an apocalyptic number.

It is an amenable number.

345401136881 is a deficient number, since it is larger than the sum of its proper divisors (1).

345401136881 is an equidigital number, since it uses as much as digits as its factorization.

345401136881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 345401136881 in words is "three hundred forty-five billion, four hundred one million, one hundred thirty-six thousand, eight hundred eighty-one".