Search a number
-
+
42123014433 = 3289127547757
BaseRepresentation
bin100111001110101110…
…100011000100100001
311000201121212211210200
4213032232203010201
51142231442430213
631203454215413
73020563500153
oct471656430441
9130647784720
1042123014433
1116956386225
1281b6ab4569
133c83b6a916
142078528ad3
151168098273
hex9ceba3121

42123014433 has 48 divisors (see below), whose sum is σ = 62207907840. Its totient is φ = 27461161728.

The previous prime is 42123014429. The next prime is 42123014447. The reversal of 42123014433 is 33441032124.

42123014433 is a `hidden beast` number, since 4 + 212 + 3 + 0 + 1 + 443 + 3 = 666.

It is not a de Polignac number, because 42123014433 - 22 = 42123014429 is a prime.

It is a super-2 number, since 2×421230144332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42123014397 and 42123014406.

It is not an unprimeable number, because it can be changed into a prime (42123014833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55644291 + ... + 55645047.

It is an arithmetic number, because the mean of its divisors is an integer number (1295998080).

Almost surely, 242123014433 is an apocalyptic number.

It is an amenable number.

42123014433 is a deficient number, since it is larger than the sum of its proper divisors (20084893407).

42123014433 is a wasteful number, since it uses less digits than its factorization.

42123014433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42123014433 its reverse (33441032124), we get a palindrome (75564046557).

The spelling of 42123014433 in words is "forty-two billion, one hundred twenty-three million, fourteen thousand, four hundred thirty-three".

Divisors: 1 3 9 89 127 267 381 547 757 801 1143 1641 2271 4923 6813 11303 33909 48683 67373 69469 96139 101727 146049 202119 208407 288417 414079 438147 606357 625221 865251 1242237 3726711 6182741 8556371 18548223 25669113 36853031 52588033 55644669 77007339 110559093 157764099 331677279 473292297 4680334937 14041004811 42123014433