Search a number
-
+
314040224129 is a prime number
BaseRepresentation
bin1001001000111100100…
…00011000100110000001
31010000121000002022110012
410210132100120212001
520121123244133004
6400133523514305
731455131601362
oct4443620304601
91100530068405
10314040224129
11111202579515
1250a43528995
13237c9882338
14112b1ac9b69
1582800da46e
hex491e418981

314040224129 has 2 divisors, whose sum is σ = 314040224130. Its totient is φ = 314040224128.

The previous prime is 314040224123. The next prime is 314040224149. The reversal of 314040224129 is 921422040413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305534773504 + 8505450625 = 552752^2 + 92225^2 .

It is a cyclic number.

It is not a de Polignac number, because 314040224129 - 232 = 309745256833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314040224095 and 314040224104.

It is not a weakly prime, because it can be changed into another prime (314040224123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157020112064 + 157020112065.

It is an arithmetic number, because the mean of its divisors is an integer number (157020112065).

Almost surely, 2314040224129 is an apocalyptic number.

It is an amenable number.

314040224129 is a deficient number, since it is larger than the sum of its proper divisors (1).

314040224129 is an equidigital number, since it uses as much as digits as its factorization.

314040224129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 314040224129 in words is "three hundred fourteen billion, forty million, two hundred twenty-four thousand, one hundred twenty-nine".