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540324523135044 = 22341798098134193
BaseRepresentation
bin111101011011011000001101…
…1010000111101000001000100
32121212010112001001001000120000
41322312300123100331001010
51031310134110410310134
65153101354215041300
7221545105246245444
oct17266603320750104
92555115031030500
10540324523135044
1114718938609549a
1250726619670230
131a2654cb57b83b
14975dbbc96c124
154270132ba2e99
hex1eb6c1b43d044

540324523135044 has 60 divisors (see below), whose sum is σ = 1495604153921724. Its totient is φ = 169513575883776.

The previous prime is 540324523135031. The next prime is 540324523135049. The reversal of 540324523135044 is 440531325423045.

540324523135044 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 24 + 5 + 231 + 350 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 245746068164100 + 294578454970944 = 15676290^2 + 17163288^2 .

It is a super-2 number, since 2×5403245231350442 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540324523135049) 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 19 ways as a sum of consecutive naturals, for example, 49049061589 + ... + 49049072604.

Almost surely, 2540324523135044 is an apocalyptic number.

540324523135044 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

540324523135044 is an abundant number, since it is smaller than the sum of its proper divisors (955279630786680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540324523135044 is a wasteful number, since it uses less digits than its factorization.

540324523135044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98098134226 (or 98098134215 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 540324523135044 its reverse (440531325423045), we get a palindrome (980855848558089).

The spelling of 540324523135044 in words is "five hundred forty trillion, three hundred twenty-four billion, five hundred twenty-three million, one hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 98098134193 196196268386 294294402579 392392536772 588588805158 882883207737 1177177610316 1667668281281 1765766415474 2648649623211 3335336562562 3531532830948 5003004843843 5297299246422 6670673125124 7945948869633 10006009687686 10594598492844 15009014531529 15891897739266 20012019375372 30018029063058 31783795478532 45027043594587 60036058126116 90054087189174 135081130783761 180108174378348 270162261567522 540324523135044