Search a number
-
+
314313232441 = 13174134688581
BaseRepresentation
bin1001001001011101000…
…01110101000000111001
31010001022000210120110011
410210232201311000321
520122203141414231
6400220555221521
731464655252105
oct4445641650071
91101260716404
10314313232441
1111133269771a
1250abaa478a1
13238412bc510
14112da074905
1582990669b1
hex492e875039

314313232441 has 16 divisors (see below), whose sum is σ = 367143951888. Its totient is φ = 266408294400.

The previous prime is 314313232439. The next prime is 314313232489. The reversal of 314313232441 is 144232313413.

It can be written as a sum of positive squares in 8 ways, for example, as 88518150400 + 225795082041 = 297520^2 + 475179^2 .

It is a cyclic number.

It is not a de Polignac number, because 314313232441 - 21 = 314313232439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314313232141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17335230 + ... + 17353351.

It is an arithmetic number, because the mean of its divisors is an integer number (22946496993).

Almost surely, 2314313232441 is an apocalyptic number.

It is an amenable number.

314313232441 is a deficient number, since it is larger than the sum of its proper divisors (52830719447).

314313232441 is a wasteful number, since it uses less digits than its factorization.

314313232441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34688652.

The product of its digits is 20736, while the sum is 31.

Adding to 314313232441 its reverse (144232313413), we get a palindrome (458545545854).

The spelling of 314313232441 in words is "three hundred fourteen billion, three hundred thirteen million, two hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 13 17 41 221 533 697 9061 34688581 450951553 589705877 1422231821 7666176401 18489013673 24177940957 314313232441