Search a number
-
+
42430421404035 = 3257373640533797
BaseRepresentation
bin10011010010111000110100…
…01100100000100110000011
312120020022100000120200022100
421221130122030200212003
521030140000334412120
6230124133321441443
711636332253110620
oct1151343214404603
9176208300520270
1042430421404035
11125797057a6385
124913372340283
131a8a22cc29052
14a6990150d347
154d8aa520c490
hex26971a320983

42430421404035 has 48 divisors (see below), whose sum is σ = 86324337418176. Its totient is φ = 18872527198464.

The previous prime is 42430421404031. The next prime is 42430421404061. The reversal of 42430421404035 is 53040412403424.

42430421404035 is a `hidden beast` number, since 4 + 2 + 4 + 30 + 4 + 214 + 0 + 403 + 5 = 666.

It is not a de Polignac number, because 42430421404035 - 22 = 42430421404031 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42430421404031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1820255244 + ... + 1820278553.

It is an arithmetic number, because the mean of its divisors is an integer number (1798423696212).

Almost surely, 242430421404035 is an apocalyptic number.

42430421404035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42430421404035 is an abundant number, since it is smaller than the sum of its proper divisors (43893916014141).

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

42430421404035 is a wasteful number, since it uses less digits than its factorization.

42430421404035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640533852 (or 3640533849 counting only the distinct ones).

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

Adding to 42430421404035 its reverse (53040412403424), we get a palindrome (95470833807459).

The spelling of 42430421404035 in words is "forty-two trillion, four hundred thirty billion, four hundred twenty-one million, four hundred four thousand, thirty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 1295 1665 2331 3885 11655 3640533797 10921601391 18202668985 25483736579 32764804173 54608006955 76451209737 127418682895 134699750489 163824020865 229353629211 382256048685 404099251467 673498752445 942898253423 1146768146055 1212297754401 2020496257335 2828694760269 4714491267115 6061488772005 8486084280807 14143473801345 42430421404035