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2041433404231 = 132231315637121
BaseRepresentation
bin11101101101001110111…
…010011011001101000111
321020011022000002212102011
4131231032322123031013
5231421323422413411
64201453242355051
7300326423425654
oct35551672331507
97204260085364
102041433404231
11717848a33721
1228b787abba87
1311a67758ca00
1470b3d586c2b
1538180756c21
hex1db4ee9b347

2041433404231 has 48 divisors (see below), whose sum is σ = 2328720337152. Its totient is φ = 1785282470400.

The previous prime is 2041433404177. The next prime is 2041433404237. The reversal of 2041433404231 is 1324043341402.

It is not a de Polignac number, because 2041433404231 - 27 = 2041433404103 is a prime.

It is a super-2 number, since 2×20414334042312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2041433404193 and 2041433404202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041433404237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286674351 + ... + 286681471.

It is an arithmetic number, because the mean of its divisors is an integer number (48515007024).

Almost surely, 22041433404231 is an apocalyptic number.

2041433404231 is a deficient number, since it is larger than the sum of its proper divisors (287286932921).

2041433404231 is a wasteful number, since it uses less digits than its factorization.

2041433404231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7864 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 2041433404231 its reverse (1324043341402), we get a palindrome (3365476745633).

The spelling of 2041433404231 in words is "two trillion, forty-one billion, four hundred thirty-three million, four hundred four thousand, two hundred thirty-one".

Divisors: 1 13 23 131 169 299 563 1703 3013 3887 7121 7319 12949 22139 39169 73753 92573 95147 163783 168337 509197 932851 958789 1203449 1696319 2129179 2188381 4009123 12127063 12464257 21455573 22052147 27679327 52118599 92209829 157651819 278922449 286677911 525195113 677541787 1198727777 3625991837 6827536469 12079487599 15583461101 88757974097 157033338787 2041433404231