Search a number
-
+
42049691333169 = 3131078197213671
BaseRepresentation
bin10011000111110011101001…
…11010100011001000110001
312111212220121021210010121120
421203321310322203020301
521002420231440130134
6225233210031012453
711566663356650202
oct1143716472431061
9174786537703546
1042049691333169
11124421a0584a53
12487161866a129
131a60365957c50
14a553046ab5a9
154cdc2041c649
hex263e74ea3231

42049691333169 has 8 divisors (see below), whose sum is σ = 60379043965632. Its totient is φ = 25876733128080.

The previous prime is 42049691333099. The next prime is 42049691333171. The reversal of 42049691333169 is 96133319694024.

42049691333169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42049691333169 - 224 = 42049674555953 is a prime.

It is a super-3 number, since 3×420496913331693 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (42049691383169) 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 7 ways as a sum of consecutive naturals, for example, 539098606797 + ... + 539098606874.

It is an arithmetic number, because the mean of its divisors is an integer number (7547380495704).

Almost surely, 242049691333169 is an apocalyptic number.

It is an amenable number.

42049691333169 is a deficient number, since it is larger than the sum of its proper divisors (18329352632463).

42049691333169 is a wasteful number, since it uses less digits than its factorization.

42049691333169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078197213687.

The product of its (nonzero) digits is 22674816, while the sum is 60.

The spelling of 42049691333169 in words is "forty-two trillion, forty-nine billion, six hundred ninety-one million, three hundred thirty-three thousand, one hundred sixty-nine".

Divisors: 1 3 13 39 1078197213671 3234591641013 14016563777723 42049691333169