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540042212213 = 7319312673119
BaseRepresentation
bin1111101101111010000…
…01100011001101110101
31220121221110200212000022
413312331001203031311
532322001301242323
61052031510454525
754005515031000
oct7667501431565
91817843625008
10540042212213
11199037828169
12887b7064445
133bc05b8ca7a
141c1d125c537
15e0ab1a74c8
hex7dbd063375

540042212213 has 32 divisors (see below), whose sum is σ = 684318720000. Its totient is φ = 424384213680.

The previous prime is 540042212123. The next prime is 540042212233. The reversal of 540042212213 is 312212240045.

It is not a de Polignac number, because 540042212213 - 220 = 540041163637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540042212233) 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 31 ways as a sum of consecutive naturals, for example, 1134533 + ... + 1538586.

It is an arithmetic number, because the mean of its divisors is an integer number (21384960000).

Almost surely, 2540042212213 is an apocalyptic number.

It is an amenable number.

540042212213 is a deficient number, since it is larger than the sum of its proper divisors (144276507787).

540042212213 is a wasteful number, since it uses less digits than its factorization.

540042212213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673190 (or 2673176 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 540042212213 its reverse (312212240045), we get a palindrome (852254452258).

The spelling of 540042212213 in words is "five hundred forty billion, forty-two million, two hundred twelve thousand, two hundred thirteen".

Divisors: 1 7 19 31 49 133 217 343 589 931 1519 4123 6517 10633 28861 202027 2673119 18711833 50789261 82866689 130982831 355524827 580066823 916879817 1574467091 2488673789 4060467761 11021269637 17420716523 28423274327 77148887459 540042212213