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540321545544 = 23311103173114859
BaseRepresentation
bin1111101110011011010…
…11000111110101001000
31220122122221022110022020
413313031223013311020
532323034303424134
61052115325524440
754015446233614
oct7671553076510
91818587273266
10540321545544
11199170476460
1288874713720
133bc4ba02b71
141c21a3b2344
15e0c5982b49
hex7dcdac7d48

540321545544 has 128 divisors (see below), whose sum is σ = 1496524723200. Its totient is φ = 161205500160.

The previous prime is 540321545509. The next prime is 540321545549. The reversal of 540321545544 is 445545123045.

It is a junction number, because it is equal to n+sod(n) for n = 540321545496 and 540321545505.

It is not an unprimeable number, because it can be changed into a prime (540321545549) 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, 4646787 + ... + 4761645.

It is an arithmetic number, because the mean of its divisors is an integer number (11691599400).

Almost surely, 2540321545544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540321545544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748262361600).

540321545544 is an abundant number, since it is smaller than the sum of its proper divisors (956203177656).

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

540321545544 is a wasteful number, since it uses less digits than its factorization.

540321545544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115155 (or 115151 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

Adding to 540321545544 its reverse (445545123045), we get a palindrome (985866668589).

The spelling of 540321545544 in words is "five hundred forty billion, three hundred twenty-one million, five hundred forty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 173 206 264 309 346 412 519 618 692 824 1038 1133 1236 1384 1903 2076 2266 2472 3399 3806 4152 4532 5709 6798 7612 9064 11418 13596 15224 17819 22836 27192 35638 45672 53457 71276 106914 114859 142552 196009 213828 229718 344577 392018 427656 459436 588027 689154 784036 918872 1176054 1263449 1378308 1568072 2352108 2526898 2756616 3790347 4704216 5053796 7580694 10107592 11830477 15161388 19870607 23660954 30322776 35491431 39741214 47321908 59611821 70982862 79482428 94643816 119223642 130135247 141965724 158964856 218576677 238447284 260270494 283931448 390405741 437153354 476894568 520540988 655730031 780811482 874306708 1041081976 1311460062 1561622964 1748613416 2046672521 2622920124 3123245928 4093345042 5245840248 6140017563 8186690084 12280035126 16373380168 22513397731 24560070252 45026795462 49120140504 67540193193 90053590924 135080386386 180107181848 270160772772 540321545544