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42040221012 = 223210111562217
BaseRepresentation
bin100111001001110010…
…101101110101010100
311000111212002111120200
4213021302231311110
51142044244033022
631151335500500
73015536661006
oct471162556524
9130455074520
1042040221012
1116913677309
128193227730
133c6c96cc2a
14206b536376
151160b91bac
hex9c9cadd54

42040221012 has 36 divisors (see below), whose sum is σ = 107320507476. Its totient is φ = 13874659200.

The previous prime is 42040220921. The next prime is 42040221059. The reversal of 42040221012 is 21012204024.

42040221012 is a `hidden beast` number, since 42 + 0 + 402 + 210 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30420243396 + 11619977616 = 174414^2 + 107796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5777473 + ... + 5784744.

Almost surely, 242040221012 is an apocalyptic number.

It is an amenable number.

42040221012 is an abundant number, since it is smaller than the sum of its proper divisors (65280286464).

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

42040221012 is a wasteful number, since it uses less digits than its factorization.

42040221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11562328 (or 11562323 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42040221012 its reverse (21012204024), we get a palindrome (63052425036).

The spelling of 42040221012 in words is "forty-two billion, forty million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 11562217 23124434 34686651 46248868 69373302 104059953 138746604 208119906 416239812 1167783917 2335567834 3503351751 4671135668 7006703502 10510055253 14013407004 21020110506 42040221012