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344641366225 = 52132192225961
BaseRepresentation
bin1010000001111100011…
…10011110100011010001
31012221120122112101202101
411000332032132203101
521121311142204400
6422154232320401
733620351164162
oct5007616364321
91187518471671
10344641366225
111231860804a2
1256963843101
1326665652b00
1412975cd7769
158e718aa56a
hex503e39e8d1

344641366225 has 54 divisors (see below), whose sum is σ = 488397204306. Its totient is φ = 241108358400.

The previous prime is 344641366217. The next prime is 344641366241. The reversal of 344641366225 is 522663146443.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 311779290384 + 32862075841 = 558372^2 + 181279^2 .

It is not a de Polignac number, because 344641366225 - 23 = 344641366217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 1412245 + ... + 1638205.

Almost surely, 2344641366225 is an apocalyptic number.

It is an amenable number.

344641366225 is a deficient number, since it is larger than the sum of its proper divisors (143755838081).

344641366225 is a wasteful number, since it uses less digits than its factorization.

344641366225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226035 (or 225998 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 46.

The spelling of 344641366225 in words is "three hundred forty-four billion, six hundred forty-one million, three hundred sixty-six thousand, two hundred twenty-five".

Divisors: 1 5 13 19 25 65 95 169 247 325 361 475 845 1235 1805 3211 4225 4693 6175 9025 16055 23465 61009 80275 117325 225961 305045 1129805 1525225 2937493 4293259 5649025 14687465 21466295 38187409 55812367 73437325 81571921 107331475 190937045 279061835 407859605 725560771 954685225 1060434973 1395309175 2039298025 3627803855 5302174865 13785654649 18139019275 26510874325 68928273245 344641366225