Search a number
-
+
540251502420231 = 3372541391754267
BaseRepresentation
bin111101011010110110001101…
…0111001000010000100000111
32121211212112120002200100222000
41322311230122321002010013
51031302440034104421411
65153004040335440343
7221536611602356200
oct17265543271020407
92554775502610860
10540251502420231
111471604148746a8
125071443b0860b3
131a25b662379094
14975a452aba5a7
15426d2ac2aa956
hex1eb5b1ae42107

540251502420231 has 48 divisors (see below), whose sum is σ = 931048627207680. Its totient is φ = 308714164723440.

The previous prime is 540251502420199. The next prime is 540251502420247. The reversal of 540251502420231 is 132024205152045.

540251502420231 is a `hidden beast` number, since 5 + 40 + 2 + 51 + 502 + 42 + 0 + 23 + 1 = 666.

It is not a de Polignac number, because 540251502420231 - 25 = 540251502420199 is a prime.

It is a super-2 number, since 2×5402515024202312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540251502422231) 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, 715883160 + ... + 716637426.

It is an arithmetic number, because the mean of its divisors is an integer number (19396846400160).

Almost surely, 2540251502420231 is an apocalyptic number.

540251502420231 is a deficient number, since it is larger than the sum of its proper divisors (390797124787449).

540251502420231 is a wasteful number, since it uses less digits than its factorization.

540251502420231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295681 (or 1295668 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 540251502420231 its reverse (132024205152045), we get a palindrome (672275707572276).

The spelling of 540251502420231 in words is "five hundred forty trillion, two hundred fifty-one billion, five hundred two million, four hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 541391 754267 1624173 2262801 3789737 4872519 5279869 6788403 11369211 14617557 15839607 20365209 26528159 34107633 36959083 47518821 79584477 102322899 110877249 142556463 238753431 332631747 716260293 997895241 408353365397 1225060096191 2858473557779 3675180288573 8575420673337 11025540865719 20009314904453 25726262020011 60027944713359 77178786060033 180083834140077 540251502420231