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542443344245 = 511229311277853
BaseRepresentation
bin1111110010011000010…
…01001001000101110101
31220212010210211222221022
413321030021021011311
532341410444003440
61053110043230525
754122152230635
oct7711411110565
91825123758838
10542443344245
1119a05a143200
1289167218445
133c1c9483a5a
141c37c0d46c5
15e19bda3cb5
hex7e4c249175

542443344245 has 96 divisors (see below), whose sum is σ = 770149416960. Its totient is φ = 365664499200.

The previous prime is 542443344181. The next prime is 542443344259.

542443344245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542443344245 - 26 = 542443344181 is a prime.

It is a super-3 number, since 3×5424433442453 (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 542443344196 and 542443344205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69070739 + ... + 69078591.

It is an arithmetic number, because the mean of its divisors is an integer number (8022389760).

Almost surely, 2542443344245 is an apocalyptic number.

542443344245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542443344245 is a deficient number, since it is larger than the sum of its proper divisors (227706072715).

542443344245 is a wasteful number, since it uses less digits than its factorization.

542443344245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067 (or 8056 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 44.

It can be divided in two parts, 542443 and 344245, that added together give a palindrome (886688).

The spelling of 542443344245 in words is "five hundred forty-two billion, four hundred forty-three million, three hundred forty-four thousand, two hundred forty-five".

Divisors: 1 5 11 29 31 55 121 127 145 155 319 341 605 635 899 1397 1595 1705 3509 3683 3751 3937 4495 6985 7853 9889 15367 17545 18415 18755 19685 39265 40513 43307 49445 76835 86383 108779 114173 202565 216535 227737 243443 431915 445643 476377 543895 570865 950213 997331 1138685 1217215 1255903 2228215 2381885 2505107 2677873 4751065 4986655 6279515 7059847 10970641 12525535 13389365 13814933 27556177 28922599 29456603 30917261 35299235 54853205 69074665 77658317 120677051 137780885 144612995 147283015 154586305 318148589 340089871 388291585 603385255 854241487 896600569 1590742945 1700449355 3499634479 3740988581 4271207435 4483002845 9862606259 17498172395 18704942905 49313031295 108488668849 542443344245