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540340301214 = 232724311421417
BaseRepresentation
bin1111101110011101100…
…10101010110110011110
31220122201020121100020200
413313032302222312132
532323104104114324
61052121235524330
754016064531100
oct7671662526636
91818636540220
10540340301214
1119918001690a
128887aa596a6
133bc5286baac
141c21ca95570
15e0c7439ec9
hex7dcecaad9e

540340301214 has 72 divisors (see below), whose sum is σ = 1365038876448. Its totient is φ = 154024637760.

The previous prime is 540340301203. The next prime is 540340301227. The reversal of 540340301214 is 412103043045.

It is a happy number.

540340301214 is a `hidden beast` number, since 5 + 4 + 0 + 340 + 301 + 2 + 14 = 666.

It is a super-2 number, since 2×5403403012142 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330567 + ... + 1090850.

It is an arithmetic number, because the mean of its divisors is an integer number (18958873284).

Almost surely, 2540340301214 is an apocalyptic number.

540340301214 is an abundant number, since it is smaller than the sum of its proper divisors (824698575234).

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

540340301214 is a wasteful number, since it uses less digits than its factorization.

540340301214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421870 (or 1421860 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 540340301214 its reverse (412103043045), we get a palindrome (952443344259).

The spelling of 540340301214 in words is "five hundred forty billion, three hundred forty million, three hundred one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 431 441 862 882 1293 2586 3017 3879 6034 7758 9051 18102 21119 27153 42238 54306 63357 126714 190071 380142 1421417 2842834 4264251 8528502 9949919 12792753 19899838 25585506 29849757 59699514 69649433 89549271 139298866 179098542 208948299 417896598 612630727 626844897 1225261454 1253689794 1837892181 3675784362 4288415089 5513676543 8576830178 11027353086 12865245267 25730490534 30018905623 38595735801 60037811246 77191471602 90056716869 180113433738 270170150607 540340301214