Search a number
-
+
315440435241 = 363117380683
BaseRepresentation
bin1001001011100011011…
…01110001000000101001
31010011012120211102000000
410211301231301000221
520132010222411431
6400524503133213
731534623313461
oct4456155610051
91104176742000
10315440435241
111118609a1888
1251174444209
13239909a5c19
14113a5a54ba1
158312ec29e6
hex4971b71029

315440435241 has 56 divisors (see below), whose sum is σ = 491028623616. Its totient is φ = 202331092320.

The previous prime is 315440435227. The next prime is 315440435251. The reversal of 315440435241 is 142534044513.

315440435241 is a `hidden beast` number, since 3 + 1 + 5 + 4 + 404 + 3 + 5 + 241 = 666.

It is not a de Polignac number, because 315440435241 - 27 = 315440435113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 315440435196 and 315440435205.

It is not an unprimeable number, because it can be changed into a prime (315440435221) 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 55 ways as a sum of consecutive naturals, for example, 3869286 + ... + 3949968.

Almost surely, 2315440435241 is an apocalyptic number.

315440435241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

315440435241 is a deficient number, since it is larger than the sum of its proper divisors (175588188375).

315440435241 is an equidigital number, since it uses as much as digits as its factorization.

315440435241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80905 (or 80890 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 315440435241 its reverse (142534044513), we get a palindrome (457974479754).

The spelling of 315440435241 in words is "three hundred fifteen billion, four hundred forty million, four hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 3 9 27 31 81 93 173 243 279 519 729 837 1557 2511 4671 5363 7533 14013 16089 22599 42039 48267 80683 126117 144801 242049 434403 726147 1303209 2178441 2501173 3909627 6535323 7503519 13958159 19605969 22510557 41874477 58817907 67531671 125623431 202595013 376870293 432702929 607785039 1130610879 1298108787 1823355117 3391832637 3894326361 10175497911 11682979083 35048937249 105146811747 315440435241