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42135306801 = 3757114292459
BaseRepresentation
bin100111001111011101…
…011100001000110001
311000202111000100202120
4213033131130020301
51142243114304201
631205013504453
73021103125030
oct471735341061
9130674010676
1042135306801
1116962311705
1281bb042129
133c86582a03
14207a008717
1511691c5536
hex9cf75c231

42135306801 has 32 divisors (see below), whose sum is σ = 64389811200. Its totient is φ = 24008564160.

The previous prime is 42135306799. The next prime is 42135306809. The reversal of 42135306801 is 10860353124.

It is not a de Polignac number, because 42135306801 - 21 = 42135306799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42135306809) 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 31 ways as a sum of consecutive naturals, for example, 17133910 + ... + 17136368.

It is an arithmetic number, because the mean of its divisors is an integer number (2012181600).

Almost surely, 242135306801 is an apocalyptic number.

It is an amenable number.

42135306801 is a deficient number, since it is larger than the sum of its proper divisors (22254504399).

42135306801 is a wasteful number, since it uses less digits than its factorization.

42135306801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 42135306801 its reverse (10860353124), we get a palindrome (52995659925).

The spelling of 42135306801 in words is "forty-two billion, one hundred thirty-five million, three hundred six thousand, eight hundred one".

Divisors: 1 3 7 21 571 1429 1713 2459 3997 4287 7377 10003 11991 17213 30009 51639 815959 1404089 2447877 3513911 4212267 5711713 9828623 10541733 17135139 24597377 29485869 73792131 2006443181 6019329543 14045102267 42135306801