Search a number
-
+
241402410225 = 325259112316193
BaseRepresentation
bin1110000011010010110…
…1000111010011110001
3212002002202020001011100
43200310231013103301
512423343004111400
6302522043235013
723304114426234
oct3406455072361
9762082201140
10241402410225
1193418404859
123a951218a69
13199c1ab5272
14b980a2b41b
15642d12a100
hex3834b474f1

241402410225 has 72 divisors (see below), whose sum is σ = 440125714080. Its totient is φ = 126445271040.

The previous prime is 241402410191. The next prime is 241402410251. The reversal of 241402410225 is 522014204142.

It is a happy number.

241402410225 is a `hidden beast` number, since 2 + 414 + 0 + 24 + 1 + 0 + 225 = 666.

241402410225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 241402410225 - 27 = 241402410097 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 14899729 + ... + 14915921.

It is an arithmetic number, because the mean of its divisors is an integer number (6112857140).

Almost surely, 2241402410225 is an apocalyptic number.

241402410225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

241402410225 is a deficient number, since it is larger than the sum of its proper divisors (198723303855).

241402410225 is a wasteful number, since it uses less digits than its factorization.

241402410225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17391 (or 17383 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 241402410225 its reverse (522014204142), we get a palindrome (763416614367).

It can be divided in two parts, 2414024 and 10225, that added together give a square (2424249 = 15572).

The spelling of 241402410225 in words is "two hundred forty-one billion, four hundred two million, four hundred ten thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 59 75 177 225 295 531 885 1123 1475 2655 3369 4425 5615 10107 13275 16193 16845 28075 48579 50535 66257 80965 84225 145737 198771 242895 252675 331285 404825 596313 728685 955387 993855 1214475 1656425 2866161 2981565 3643425 4776935 4969275 8598483 14330805 14907825 18184739 23884675 42992415 54554217 71654025 90923695 163662651 214962075 272771085 454618475 818313255 1072899601 1363855425 3218698803 4091566275 5364498005 9656096409 16093494015 26822490025 48280482045 80467470075 241402410225