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10443142431 = 334189105997
BaseRepresentation
bin10011011100111010…
…11011010100011111
3222221210121121021000
421232131123110133
5132341421024211
64444132441343
7516535150251
oct115635332437
928853547230
1010443142431
114479977527
122035479253
13ca5755a27
14710d57cd1
15411c44656
hex26e75b51f

10443142431 has 32 divisors (see below), whose sum is σ = 16026897600. Its totient is φ = 6715906560.

The previous prime is 10443142421. The next prime is 10443142471. The reversal of 10443142431 is 13424134401.

10443142431 is a `hidden beast` number, since 104 + 4 + 314 + 243 + 1 = 666.

It is not a de Polignac number, because 10443142431 - 210 = 10443141407 is a prime.

It is a super-2 number, since 2×104431424312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10443142395 and 10443142404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10443142421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45525 + ... + 151521.

It is an arithmetic number, because the mean of its divisors is an integer number (500840550).

Almost surely, 210443142431 is an apocalyptic number.

10443142431 is a deficient number, since it is larger than the sum of its proper divisors (5583755169).

10443142431 is a wasteful number, since it uses less digits than its factorization.

10443142431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106136 (or 106130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10443142431 its reverse (13424134401), we get a palindrome (23867276832).

The spelling of 10443142431 in words is "ten billion, four hundred forty-three million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 41 89 123 267 369 801 1107 2403 3649 10947 32841 98523 105997 317991 953973 2861919 4345877 9433733 13037631 28301199 39112893 84903597 117338679 254710791 386783053 1160349159 3481047477 10443142431