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540353134075 = 521723437312641
BaseRepresentation
bin1111101110011111000…
…11100111110111111011
31220122202010202022121211
413313033203213313323
532323120400242300
61052122414543551
754016311566506
oct7671743476773
91818663668554
10540353134075
11199187291387
1288883207bb7
133bc55412bc1
141c22067613d
15e0c86224ba
hex7dcf8e7dfb

540353134075 has 48 divisors (see below), whose sum is σ = 740525478336. Its totient is φ = 389045043200.

The previous prime is 540353134073. The next prime is 540353134129. The reversal of 540353134075 is 570431353045.

It is not a de Polignac number, because 540353134075 - 21 = 540353134073 is a prime.

It is a super-2 number, since 2×5403531340752 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540353134073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42739755 + ... + 42752395.

It is an arithmetic number, because the mean of its divisors is an integer number (15427614132).

Almost surely, 2540353134075 is an apocalyptic number.

540353134075 is a deficient number, since it is larger than the sum of its proper divisors (200172344261).

540353134075 is a wasteful number, since it uses less digits than its factorization.

540353134075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17064 (or 17059 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 40.

The spelling of 540353134075 in words is "five hundred forty billion, three hundred fifty-three million, one hundred thirty-four thousand, seventy-five".

Divisors: 1 5 17 23 25 85 115 391 425 575 1955 4373 9775 12641 21865 63205 74341 100579 109325 214897 290743 316025 371705 502895 1074485 1453715 1709843 1858525 2514475 4942631 5372425 7268575 8549215 24713155 42746075 55279093 123565775 276395465 939744581 1271419139 1381977325 4698722905 6357095695 21614125363 23493614525 31785478475 108070626815 540353134075