Search a number
-
+
42090744961 = 251337497603
BaseRepresentation
bin100111001100110011…
…011100110010000001
311000122101011101102001
4213030303130302001
51142200212314321
631200342424001
73020022300106
oct471463346201
9130571141361
1042090744961
111693a145741
1281a8132001
133c7a27c965
142074128aad
151165321c91
hex9cccdcc81

42090744961 has 8 divisors (see below), whose sum is σ = 42383918304. Its totient is φ = 41798568000.

The previous prime is 42090744959. The next prime is 42090744979. The reversal of 42090744961 is 16944709024.

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

It is a cyclic number.

It is not a de Polignac number, because 42090744961 - 21 = 42090744959 is a prime.

It is a super-2 number, since 2×420907449612 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42090744911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164215 + ... + 333388.

It is an arithmetic number, because the mean of its divisors is an integer number (5297989788).

Almost surely, 242090744961 is an apocalyptic number.

It is an amenable number.

42090744961 is a deficient number, since it is larger than the sum of its proper divisors (293173343).

42090744961 is a wasteful number, since it uses less digits than its factorization.

42090744961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498191.

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 42090744961 in words is "forty-two billion, ninety million, seven hundred forty-four thousand, nine hundred sixty-one".

Divisors: 1 251 337 84587 497603 124898353 167692211 42090744961