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42424456221 = 3272101952481
BaseRepresentation
bin100111100000101100…
…011101010000011101
311001111122002200012100
4213200230131100131
51143341130044341
631253423155313
73031213633200
oct474054352035
9131448080170
1042424456221
1116aa0554974
12827ba45b39
134001451a44
1420a6595937
15118478e3b6
hex9e0b1d41d

42424456221 has 36 divisors (see below), whose sum is σ = 71990494524. Its totient is φ = 24002496000.

The previous prime is 42424456219. The next prime is 42424456231. The reversal of 42424456221 is 12265442424.

42424456221 is a `hidden beast` number, since 4 + 2 + 4 + 24 + 4 + 5 + 622 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24417500121 + 18006956100 = 156261^2 + 134190^2 .

It is not a de Polignac number, because 42424456221 - 21 = 42424456219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42424456231) 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 35 ways as a sum of consecutive naturals, for example, 431700 + ... + 520781.

It is an arithmetic number, because the mean of its divisors is an integer number (1999735959).

Almost surely, 242424456221 is an apocalyptic number.

It is an amenable number.

42424456221 is a deficient number, since it is larger than the sum of its proper divisors (29566038303).

42424456221 is a wasteful number, since it uses less digits than its factorization.

42424456221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952602 (or 952592 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 42424456221 its reverse (12265442424), we get a palindrome (54689898645).

The spelling of 42424456221 in words is "forty-two billion, four hundred twenty-four million, four hundred fifty-six thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 101 147 303 441 707 909 2121 4949 6363 14847 44541 952481 2857443 6667367 8572329 20002101 46671569 60006303 96200581 140014707 288601743 420044121 673404067 865805229 2020212201 4713828469 6060636603 14141485407 42424456221