Search a number
-
+
315025135441 = 113249672
BaseRepresentation
bin1001001010110001111…
…01100001011101010001
31010010010122100222202221
410211120331201131101
520130132413313231
6400415345541041
731521421320052
oct4453075413521
91103118328687
10315025135441
11111668526a05
1251079344781
13239259386b3
141136682a729
1582db7dad11
hex4958f61751

315025135441 has 9 divisors (see below), whose sum is σ = 317901642331. Its totient is φ = 312174440032.

The previous prime is 315025135427. The next prime is 315025135499. The reversal of 315025135441 is 144531520513.

The square root of 315025135441 is 561271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5550995025 + 309474140416 = 74505^2 + 556304^2 .

It is not a de Polignac number, because 315025135441 - 211 = 315025133393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 315025135397 and 315025135406.

It is not an unprimeable number, because it can be changed into a prime (315025135141) 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 in 8 ways as a sum of consecutive naturals, for example, 63421140 + ... + 63426106.

Almost surely, 2315025135441 is an apocalyptic number.

315025135441 is the 561271-st square number.

315025135441 is the 280636-th centered octagonal number.

It is an amenable number.

315025135441 is a deficient number, since it is larger than the sum of its proper divisors (2876506890).

315025135441 is an frugal number, since it uses more digits than its factorization.

315025135441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10160 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 315025135441 its reverse (144531520513), we get a palindrome (459556655954).

The spelling of 315025135441 in words is "three hundred fifteen billion, twenty-five million, one hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 113 4967 12769 561271 24671089 63423623 2787833057 315025135441