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314014331441 is a prime number
BaseRepresentation
bin1001001000111001011…
…01100111001000110001
31010000112012100211100202
410210130231213020301
520121100132101231
6400131200524545
731454365530446
oct4443455471061
91100465324322
10314014331441
111111999a39a8
1250a36920755
13237c43b7a15
14112ac4a99cd
15827cbc35cb
hex491cb67231

314014331441 has 2 divisors, whose sum is σ = 314014331442. Its totient is φ = 314014331440.

The previous prime is 314014331413. The next prime is 314014331447. The reversal of 314014331441 is 144133410413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179254858225 + 134759473216 = 423385^2 + 367096^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314014331441 is a prime.

It is a super-2 number, since 2×3140143314412 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (314014331447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157007165720 + 157007165721.

It is an arithmetic number, because the mean of its divisors is an integer number (157007165721).

Almost surely, 2314014331441 is an apocalyptic number.

It is an amenable number.

314014331441 is a deficient number, since it is larger than the sum of its proper divisors (1).

314014331441 is an equidigital number, since it uses as much as digits as its factorization.

314014331441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 314014331441 its reverse (144133410413), we get a palindrome (458147741854).

The spelling of 314014331441 in words is "three hundred fourteen billion, fourteen million, three hundred thirty-one thousand, four hundred forty-one".