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1040410111431 = 32999121135711
BaseRepresentation
bin11110010001111010100…
…01100110110111000111
310200110110222011210002210
433020331101212313013
5114021224442031211
62113542515234503
7135111222013665
oct17107521466707
93613428153083
101040410111431
113712654257a9
1214977b2a8a33
13771582bcb92
14384db28bc35
151c0e425c9a6
hexf23d466dc7

1040410111431 has 32 divisors (see below), whose sum is σ = 1437427998720. Its totient is φ = 668579788800.

The previous prime is 1040410111421. The next prime is 1040410111439. The reversal of 1040410111431 is 1341110140401.

It is not a de Polignac number, because 1040410111431 - 27 = 1040410111303 is a prime.

It is a super-2 number, since 2×10404101114312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1040410111398 and 1040410111407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040410111439) 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 31 ways as a sum of consecutive naturals, for example, 182173666 + ... + 182179376.

It is an arithmetic number, because the mean of its divisors is an integer number (44919624960).

Almost surely, 21040410111431 is an apocalyptic number.

1040410111431 is a deficient number, since it is larger than the sum of its proper divisors (397017887289).

1040410111431 is a wasteful number, since it uses less digits than its factorization.

1040410111431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8847.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1040410111431 its reverse (1341110140401), we get a palindrome (2381520251832).

The spelling of 1040410111431 in words is "one trillion, forty billion, four hundred ten million, one hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 29 87 991 2113 2973 5711 6339 17133 28739 61277 86217 165619 183831 496857 2093983 5659601 6281949 12067343 16978803 36202029 60725507 164128429 182176521 349952947 492385287 1049858841 11958736913 35876210739 346803370477 1040410111431