Search a number
-
+
1024050331431 = 33138863273131
BaseRepresentation
bin11101110011011100010…
…01111111111100100111
310121220020211100211221000
432321232021333330213
5113234223341101211
62102235304324343
7133661631124251
oct16715611777447
93556224324830
101024050331431
1136532a795966
121465744736b3
137574bb3809a
14377c8624cd1
151b987d9a656
hexee6e27ff27

1024050331431 has 16 divisors (see below), whose sum is σ = 1517128081920. Its totient is φ = 682692805080.

The previous prime is 1024050331361. The next prime is 1024050331457. The reversal of 1024050331431 is 1341330504201.

It is a happy number.

1024050331431 is a `hidden beast` number, since 1 + 0 + 240 + 50 + 331 + 43 + 1 = 666.

It is not a de Polignac number, because 1024050331431 - 214 = 1024050315047 is a prime.

It is a super-2 number, since 2×10240503314312 (a number of 25 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 = 1024050331395 and 1024050331404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024050330431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3612736 + ... + 3885866.

It is an arithmetic number, because the mean of its divisors is an integer number (94820505120).

Almost surely, 21024050331431 is an apocalyptic number.

1024050331431 is a deficient number, since it is larger than the sum of its proper divisors (493077750489).

1024050331431 is a wasteful number, since it uses less digits than its factorization.

1024050331431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412003 (or 411997 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1024050331431 its reverse (1341330504201), we get a palindrome (2365380835632).

It can be divided in two parts, 1024050 and 331431, that added together give a triangular number (1355481 = T1646).

The spelling of 1024050331431 in words is "one trillion, twenty-four billion, fifty million, three hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 27 138863 273131 416589 819393 1249767 2458179 3749301 7374537 37927790053 113783370159 341350110477 1024050331431