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314384005409 is a prime number
BaseRepresentation
bin1001001001100101011…
…11110011100100100001
31010001110221222012201012
410210302233303210201
520122324301133114
6400232004150305
731466504645225
oct4446257634441
91101427865635
10314384005409
11111369636481
1250b1a698395
1323852b6bb06
1411305618785
1582a039663e
hex4932bf3921

314384005409 has 2 divisors, whose sum is σ = 314384005410. Its totient is φ = 314384005408.

The previous prime is 314384005303. The next prime is 314384005501. The reversal of 314384005409 is 904500483413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 305173380625 + 9210624784 = 552425^2 + 95972^2 .

It is a cyclic number.

It is not a de Polignac number, because 314384005409 - 212 = 314384001313 is a prime.

It is a super-2 number, since 2×3143840054092 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (314384008409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157192002704 + 157192002705.

It is an arithmetic number, because the mean of its divisors is an integer number (157192002705).

Almost surely, 2314384005409 is an apocalyptic number.

It is an amenable number.

314384005409 is a deficient number, since it is larger than the sum of its proper divisors (1).

314384005409 is an equidigital number, since it uses as much as digits as its factorization.

314384005409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 314384005409 in words is "three hundred fourteen billion, three hundred eighty-four million, five thousand, four hundred nine".