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540041312331 = 32186732139577
BaseRepresentation
bin1111101101111001111…
…10000111100001001011
31220121221102000010121100
413312330332013201023
532322001033443311
61052031435312443
754005504262303
oct7667476074113
91817842003540
10540041312331
11199037273064
12887b68ab723
133bc059362b1
141c1d10a6603
15e0ab07aa56
hex7dbcf8784b

540041312331 has 12 divisors (see below), whose sum is σ = 780477512152. Its totient is φ = 359834692896.

The previous prime is 540041312309. The next prime is 540041312333. The reversal of 540041312331 is 133213140045.

It is a happy number.

540041312331 is a `hidden beast` number, since 540 + 0 + 41 + 31 + 23 + 31 = 666.

It is not a de Polignac number, because 540041312331 - 25 = 540041312299 is a prime.

It is a super-2 number, since 2×5400413123312 (a number of 24 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 = 540041312295 and 540041312304.

It is not an unprimeable number, because it can be changed into a prime (540041312333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16052986 + ... + 16086591.

Almost surely, 2540041312331 is an apocalyptic number.

540041312331 is a deficient number, since it is larger than the sum of its proper divisors (240436199821).

540041312331 is a wasteful number, since it uses less digits than its factorization.

540041312331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32141450 (or 32141447 counting only the distinct ones).

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

Adding to 540041312331 its reverse (133213140045), we get a palindrome (673254452376).

The spelling of 540041312331 in words is "five hundred forty billion, forty-one million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 1867 5601 16803 32139577 96418731 289256193 60004590259 180013770777 540041312331