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540234141213 = 31370119760567
BaseRepresentation
bin1111101110010000111…
…01101100111000011101
31220122102211211212002210
413313020131230320131
532322344420004323
61052102524311033
754013335301524
oct7671035547035
91818384755083
10540234141213
111991260a8278
128884b3a2479
133bc3687c520
141c20c93d4bb
15e0bce6a293
hex7dc876ce1d

540234141213 has 16 divisors (see below), whose sum is σ = 776827449216. Its totient is φ = 331977508800.

The previous prime is 540234141199. The next prime is 540234141247. The reversal of 540234141213 is 312141432045.

It is not a de Polignac number, because 540234141213 - 210 = 540234140189 is a prime.

It is a super-2 number, since 2×5402341412132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540234141913) 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 15 ways as a sum of consecutive naturals, for example, 9852945 + ... + 9907622.

It is an arithmetic number, because the mean of its divisors is an integer number (48551715576).

Almost surely, 2540234141213 is an apocalyptic number.

It is an amenable number.

540234141213 is a deficient number, since it is larger than the sum of its proper divisors (236593308003).

540234141213 is a wasteful number, since it uses less digits than its factorization.

540234141213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19761284.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 540234141213 its reverse (312141432045), we get a palindrome (852375573258).

The spelling of 540234141213 in words is "five hundred forty billion, two hundred thirty-four million, one hundred forty-one thousand, two hundred thirteen".

Divisors: 1 3 13 39 701 2103 9113 27339 19760567 59281701 256887371 770662113 13852157467 41556472401 180078047071 540234141213