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314011430041 is a prime number
BaseRepresentation
bin1001001000111001000…
…10100010110010011001
31010000111222220102101111
410210130202202302121
520121043411230131
6400131014420321
731454332054531
oct4443442426231
91100458812344
10314011430041
111111982a2051
1250a359616a1
13237c391020a
14112abd524c1
15827c7edab1
hex491c8a2c99

314011430041 has 2 divisors, whose sum is σ = 314011430042. Its totient is φ = 314011430040.

The previous prime is 314011430023. The next prime is 314011430113. The reversal of 314011430041 is 140034110413.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312743785225 + 1267644816 = 559235^2 + 35604^2 .

It is a cyclic number.

It is not a de Polignac number, because 314011430041 - 25 = 314011430009 is a prime.

It is a super-3 number, since 3×3140114300413 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314011429994 and 314011430021.

It is not a weakly prime, because it can be changed into another prime (314011433041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157005715020 + 157005715021.

It is an arithmetic number, because the mean of its divisors is an integer number (157005715021).

Almost surely, 2314011430041 is an apocalyptic number.

It is an amenable number.

314011430041 is a deficient number, since it is larger than the sum of its proper divisors (1).

314011430041 is an equidigital number, since it uses as much as digits as its factorization.

314011430041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 314011430041 its reverse (140034110413), we get a palindrome (454045540454).

The spelling of 314011430041 in words is "three hundred fourteen billion, eleven million, four hundred thirty thousand, forty-one".