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540206655142 = 271119184622917
BaseRepresentation
bin1111101110001101101…
…00110110011010100110
31220122100221010102022011
413313012310312122212
532322320400431032
61052100103224434
754012552543310
oct7670664663246
91818327112264
10540206655142
11199111634610
128884214811a
133bc30c7788b
141c2090267b0
15e0ba83b247
hex7dc6d366a6

540206655142 has 32 divisors (see below), whose sum is σ = 1063428007680. Its totient is φ = 199392749280.

The previous prime is 540206655137. The next prime is 540206655179. The reversal of 540206655142 is 241556602045.

It is a happy number.

It is a super-3 number, since 3×5402066551423 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540206655095 and 540206655104.

It is a congruent number.

It is an unprimeable number.

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, 92308533 + ... + 92314384.

It is an arithmetic number, because the mean of its divisors is an integer number (33232125240).

Almost surely, 2540206655142 is an apocalyptic number.

540206655142 is a deficient number, since it is larger than the sum of its proper divisors (523221352538).

540206655142 is a wasteful number, since it uses less digits than its factorization.

540206655142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184622956.

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 540206655142 in words is "five hundred forty billion, two hundred six million, six hundred fifty-five thousand, one hundred forty-two".

Divisors: 1 2 7 11 14 19 22 38 77 133 154 209 266 418 1463 2926 184622917 369245834 1292360419 2030852087 2584720838 3507835423 4061704174 7015670846 14215964609 24554847961 28431929218 38586189653 49109695922 77172379306 270103327571 540206655142