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540140519393 = 17261149205633
BaseRepresentation
bin1111101110000101110…
…00100011111111100001
31220122012022200101002222
413313002320203333201
532322201433110033
61052045341520425
754011120442566
oct7670270437741
91818168611088
10540140519393
11199088272872
1288823b73115
133bc2035cbb7
141c20032c86d
15e0b4b25598
hex7dc2e23fe1

540140519393 has 24 divisors (see below), whose sum is σ = 587105633400. Its totient is φ = 496675307520.

The previous prime is 540140519377. The next prime is 540140519417. The reversal of 540140519393 is 393915041045.

It can be written as a sum of positive squares in 12 ways, for example, as 285430542049 + 254709977344 = 534257^2 + 504688^2 .

It is not a de Polignac number, because 540140519393 - 24 = 540140519377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540140519693) 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, 2523905 + ... + 2729537.

It is an arithmetic number, because the mean of its divisors is an integer number (24462734725).

Almost surely, 2540140519393 is an apocalyptic number.

It is an amenable number.

540140519393 is a deficient number, since it is larger than the sum of its proper divisors (46965114007).

540140519393 is a wasteful number, since it uses less digits than its factorization.

540140519393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205877 (or 205860 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 44.

The spelling of 540140519393 in words is "five hundred forty billion, one hundred forty million, five hundred nineteen thousand, three hundred ninety-three".

Divisors: 1 17 61 149 289 1037 2533 9089 17629 43061 154513 205633 2626721 3495761 12543613 30639317 59427937 213241421 520868389 1868998337 3625104157 8854762613 31772971729 540140519393