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542403423441 = 3411255341641
BaseRepresentation
bin1111110010010011100…
…00110110110011010001
31220212001000201210220000
413321021300312303101
532341320234022231
61053102055440213
754121156012515
oct7711160666321
91825030653800
10542403423441
1119a039657100
1289155986069
133c1c1117289
141c376aa2145
15e19861a6e6
hex7e49c36cd1

542403423441 has 30 divisors (see below), whose sum is σ = 890613044706. Its totient is φ = 328729341600.

The previous prime is 542403423439. The next prime is 542403423509. The reversal of 542403423441 is 144324304245.

542403423441 is a `hidden beast` number, since 5 + 4 + 240 + 342 + 34 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 539753233041 + 2650190400 = 734679^2 + 51480^2 .

It is not a de Polignac number, because 542403423441 - 21 = 542403423439 is a prime.

It is a super-3 number, since 3×5424034234413 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542403423396 and 542403423405.

It is not an unprimeable number, because it can be changed into a prime (542403423241) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27661020 + ... + 27680621.

Almost surely, 2542403423441 is an apocalyptic number.

It is an amenable number.

542403423441 is a deficient number, since it is larger than the sum of its proper divisors (348209621265).

542403423441 is a wasteful number, since it uses less digits than its factorization.

542403423441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55341675 (or 55341655 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 542403423441 its reverse (144324304245), we get a palindrome (686727727686).

The spelling of 542403423441 in words is "five hundred forty-two billion, four hundred three million, four hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801 55341641 166024923 498074769 608758051 1494224307 1826274153 4482672921 5478822459 6696338561 16436467377 20089015683 49309402131 60267047049 180801141147 542403423441