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540304313341401 = 32729316993320627
BaseRepresentation
bin111101011011001110110011…
…0101010101101010111011001
32121212001120212120202010112100
41322312131212222231113121
51031304321213203411101
65153044212553034013
7221543461365654330
oct17266354652552731
92555046776663470
10540304313341401
111471808551a43a4
12507227193b5909
131a26362a59ac6b
14975cc22874d17
15426e84d7e5e86
hex1eb6766aad5d9

540304313341401 has 48 divisors (see below), whose sum is σ = 922978339171200. Its totient is φ = 298004861113344.

The previous prime is 540304313341381. The next prime is 540304313341409. The reversal of 540304313341401 is 104143313403045.

540304313341401 is a `hidden beast` number, since 5 + 4 + 0 + 304 + 3 + 1 + 3 + 341 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 540304313341401 - 211 = 540304313339353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540304313341409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40870551 + ... + 52450076.

It is an arithmetic number, because the mean of its divisors is an integer number (19228715399400).

Almost surely, 2540304313341401 is an apocalyptic number.

It is an amenable number.

540304313341401 is a deficient number, since it is larger than the sum of its proper divisors (382674025829799).

540304313341401 is a wasteful number, since it uses less digits than its factorization.

540304313341401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93323838 (or 93323835 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 540304313341401 its reverse (104143313403045), we get a palindrome (644447626744446).

The spelling of 540304313341401 in words is "five hundred forty trillion, three hundred four billion, three hundred thirteen million, three hundred forty-one thousand, four hundred one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 3169 9507 22183 28521 66549 91901 199647 275703 643307 827109 1929921 5789763 93320627 279961881 653244389 839885643 1959733167 2706298183 5879199501 8118894549 18944087281 24356683647 56832261843 170496785529 295733066963 887199200889 2070131468741 2661597602667 6210394406223 8576258941927 18631183218669 25728776825781 60033812593489 77186330477343 180101437780467 540304313341401