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540544430407233 = 379710315120838191
BaseRepresentation
bin111101011100111110100111…
…0110000100111111001000001
32121212220112122202100220122210
41322321331032300213321001
51031322234443141012413
65153350403323052333
7221600021615233050
oct17271751660477101
92555815582326583
10540544430407233
1114726367300095a
12507611700710a9
131a280175ca9bc5
14976a6c08b8397
154275c03b783c3
hex1eb9f4ec27e41

540544430407233 has 128 divisors (see below), whose sum is σ = 846331761393664. Its totient is φ = 300544328448000.

The previous prime is 540544430407213. The next prime is 540544430407249. The reversal of 540544430407233 is 332704034445045.

It is not a de Polignac number, because 540544430407233 - 214 = 540544430390849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540544430407213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65992479168 + ... + 65992487358.

It is an arithmetic number, because the mean of its divisors is an integer number (6611966885888).

Almost surely, 2540544430407233 is an apocalyptic number.

It is an amenable number.

540544430407233 is a deficient number, since it is larger than the sum of its proper divisors (305787330986431).

540544430407233 is a wasteful number, since it uses less digits than its factorization.

540544430407233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635.

The product of its (nonzero) digits is 9676800, while the sum is 48.

The spelling of 540544430407233 in words is "five hundred forty trillion, five hundred forty-four billion, four hundred thirty million, four hundred seven thousand, two hundred thirty-three".

Divisors: 1 3 7 21 97 103 151 291 309 453 679 721 1057 2037 2083 2163 3171 6249 8191 9991 14581 14647 15553 24573 29973 43743 43941 46659 57337 69937 102529 108871 172011 202051 209811 214549 307587 314533 326613 606153 643647 794527 843673 943599 1236841 1414357 1501843 1508641 2201731 2383581 2531019 3710523 4243071 4505529 4525923 5561689 5905711 6605193 8657887 10560487 16685067 17061853 17717133 20811253 25973661 30509701 31681461 32396899 51185559 62433759 81836281 91529103 97190697 119432971 119973577 127394623 145678771 213567907 226778293 245508843 358298913 359920731 382183869 437036313 572853967 640703721 680334879 839815039 891762361 1654999741 1718561901 1757370859 2519445117 2576339803 2675287083 3142499203 4964999223 5272112577 7729019409 9427497609 11584998187 12301596013 12357278431 18034378621 21997494421 34754994561 36904788039 37071835293 54103135863 65992483263 86500949017 170464973323 249904960891 259502847051 265362999709 511394919969 749714882673 796088999127 1193254813261 1749334726237 1857540997963 3579764439783 5248004178711 5572622993889 25740210971773 77220632915319 180181476802411 540544430407233