Search a number
-
+
10424000241 = 341071378779
BaseRepresentation
bin10011011010101000…
…11001111011110001
3222220110121002010000
421231110121323301
5132322021001431
64442210300213
7516213353154
oct115524317361
928813532100
1010424000241
11446a092736
12202ab87669
13ca17b2ba5
1470c5b3c9b
154102129e6
hex26d519ef1

10424000241 has 40 divisors (see below), whose sum is σ = 15833711520. Its totient is φ = 6833356992.

The previous prime is 10424000227. The next prime is 10424000243. The reversal of 10424000241 is 14200042401.

10424000241 is a `hidden beast` number, since 1 + 0 + 424 + 0 + 0 + 0 + 241 = 666.

It is not a de Polignac number, because 10424000241 - 213 = 10423992049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10424000243) 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 39 ways as a sum of consecutive naturals, for example, 1182990 + ... + 1191768.

It is an arithmetic number, because the mean of its divisors is an integer number (395842788).

Almost surely, 210424000241 is an apocalyptic number.

It is an amenable number.

10424000241 is a deficient number, since it is larger than the sum of its proper divisors (5409711279).

10424000241 is a wasteful number, since it uses less digits than its factorization.

10424000241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9035 (or 9026 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10424000241 its reverse (14200042401), we get a palindrome (24624042642).

The spelling of 10424000241 in words is "ten billion, four hundred twenty-four million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 27 81 107 137 321 411 963 1233 2889 3699 8667 8779 11097 14659 26337 43977 79011 131931 237033 395793 711099 939353 1187379 1202723 2818059 3608169 8454177 10824507 25362531 32473521 76087593 97420563 128691361 386074083 1158222249 3474666747 10424000241