Search a number
-
+
10024042041 = 3213101848273
BaseRepresentation
bin10010101010111101…
…01011111000111001
3221212121000002121100
421111132223320321
5131012123321131
64334402002013
7503255644236
oct112536537071
927777002540
1010024042041
114284346172
121b39046309
13c39987630
146b142078d
153da05b7e6
hex2557abe39

10024042041 has 24 divisors (see below), whose sum is σ = 15747358536. Its totient is φ = 6107558400.

The previous prime is 10024042033. The next prime is 10024042043. The reversal of 10024042041 is 14024042001.

10024042041 is a `hidden beast` number, since 1 + 0 + 0 + 240 + 420 + 4 + 1 = 666.

10024042041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3294300816 + 6729741225 = 57396^2 + 82035^2 .

It is not a de Polignac number, because 10024042041 - 23 = 10024042033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10024042043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412320 + ... + 435953.

It is an arithmetic number, because the mean of its divisors is an integer number (656139939).

Almost surely, 210024042041 is an apocalyptic number.

It is an amenable number.

10024042041 is a deficient number, since it is larger than the sum of its proper divisors (5723316495).

10024042041 is a wasteful number, since it uses less digits than its factorization.

10024042041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848393 (or 848390 counting only the distinct ones).

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

Adding to 10024042041 its reverse (14024042001), we get a palindrome (24048084042).

The spelling of 10024042041 in words is "ten billion, twenty-four million, forty-two thousand, forty-one".

Divisors: 1 3 9 13 39 101 117 303 909 1313 3939 11817 848273 2544819 7634457 11027549 33082647 85675573 99247941 257026719 771080157 1113782449 3341347347 10024042041