Search a number
-
+
542422413141 = 371713913038389
BaseRepresentation
bin1111110010010101110…
…01010010111101010101
31220212002100110120212020
413321022321102331111
532341340114210031
61053104014443353
754121506303210
oct7711271227525
91825070416766
10542422413141
1119a049347374
1289160203559
133c1c503589b
141c379406777
15e19a11c096
hex7e4ae52f55

542422413141 has 64 divisors (see below), whose sum is σ = 882246758400. Its totient is φ = 289367479296.

The previous prime is 542422413139. The next prime is 542422413149. The reversal of 542422413141 is 141314224245.

It is not a de Polignac number, because 542422413141 - 21 = 542422413139 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542422413149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64654575 + ... + 64662963.

It is an arithmetic number, because the mean of its divisors is an integer number (13785105600).

Almost surely, 2542422413141 is an apocalyptic number.

542422413141 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

542422413141 is a deficient number, since it is larger than the sum of its proper divisors (339824345259).

542422413141 is a wasteful number, since it uses less digits than its factorization.

542422413141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858.

The product of its digits is 30720, while the sum is 33.

Adding to 542422413141 its reverse (141314224245), we get a palindrome (683736637386).

The spelling of 542422413141 in words is "five hundred forty-two billion, four hundred twenty-two million, four hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 17 21 51 119 139 357 417 973 1303 2363 2919 3909 7089 8389 9121 16541 22151 25167 27363 49623 58723 66453 142613 155057 176169 181117 427839 465171 543351 998291 1166071 1267819 2994873 3078989 3498213 3803457 8162497 9236967 10930867 19823207 21552923 24487491 32792601 59469621 64658769 76516069 138762449 185824739 229548207 416287347 557474217 1300773173 1519390513 3902319519 4558171539 10635733591 25829638721 31907200773 77488916163 180807471047 542422413141