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2040231440331 = 327231408027219
BaseRepresentation
bin11101101100000111010…
…001010010111111001011
321020001012020101202220200
4131230013101102333023
5231411343222042311
64201134104223243
7300254560051020
oct35540721227713
97201166352820
102040231440331
11717291506427
1228b4b146ab23
1311a51555b676
1470a67aa5547
153810ee7e556
hex1db07452fcb

2040231440331 has 24 divisors (see below), whose sum is σ = 3514435941120. Its totient is φ = 1115157556656.

The previous prime is 2040231440321. The next prime is 2040231440333. The reversal of 2040231440331 is 1330441320402.

2040231440331 is a `hidden beast` number, since 20 + 4 + 0 + 231 + 4 + 403 + 3 + 1 = 666.

It is not a de Polignac number, because 2040231440331 - 213 = 2040231432139 is a prime.

It is a super-2 number, since 2×20402314403312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2040231440295 and 2040231440304.

It is not an unprimeable number, because it can be changed into a prime (2040231440333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704012161 + ... + 704015058.

It is an arithmetic number, because the mean of its divisors is an integer number (146434830880).

Almost surely, 22040231440331 is an apocalyptic number.

2040231440331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2040231440331 is a deficient number, since it is larger than the sum of its proper divisors (1474204500789).

2040231440331 is a wasteful number, since it uses less digits than its factorization.

2040231440331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408027255 (or 1408027252 counting only the distinct ones).

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

Adding to 2040231440331 its reverse (1330441320402), we get a palindrome (3370672760733).

The spelling of 2040231440331 in words is "two trillion, forty billion, two hundred thirty-one million, four hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 1408027219 4224081657 9856190533 12672244971 29568571599 32384626037 88705714797 97153878111 226692382259 291461634333 680077146777 2040231440331