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314073041 is a prime number
BaseRepresentation
bin10010101110000…
…101111111010001
3210212222120012212
4102232011333101
51120400314131
651055401505
710532401562
oct2256057721
9725876185
10314073041
111513167a7
1289223295
13500b7549
142d9d8169
151c88da2b
hex12b85fd1

314073041 has 2 divisors, whose sum is σ = 314073042. Its totient is φ = 314073040.

The previous prime is 314073031. The next prime is 314073043. The reversal of 314073041 is 140370413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257763025 + 56310016 = 16055^2 + 7504^2 .

It is an emirp because it is prime and its reverse (140370413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314073041 - 226 = 246964177 is a prime.

Together with 314073043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 314072998 and 314073016.

It is not a weakly prime, because it can be changed into another prime (314073043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157036520 + 157036521.

It is an arithmetic number, because the mean of its divisors is an integer number (157036521).

Almost surely, 2314073041 is an apocalyptic number.

It is an amenable number.

314073041 is a deficient number, since it is larger than the sum of its proper divisors (1).

314073041 is an equidigital number, since it uses as much as digits as its factorization.

314073041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 314073041 is about 17722.1059978773. The cubic root of 314073041 is about 679.7411363294.

The spelling of 314073041 in words is "three hundred fourteen million, seventy-three thousand, forty-one".