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42122144253 = 3721084726417
BaseRepresentation
bin100111001110101011…
…001110100111111101
311000201120020122010210
4213032223032213331
51142231232104003
631203423423033
73020553214200
oct471653164775
9130646218123
1042122144253
1116955941472
1281b6754a79
133c83924817
14207837d937
151167e75503
hex9ceace9fd

42122144253 has 24 divisors (see below), whose sum is σ = 65340801792. Its totient is φ = 24066666624.

The previous prime is 42122144231. The next prime is 42122144279. The reversal of 42122144253 is 35244122124.

It is a happy number.

It is not a de Polignac number, because 42122144253 - 214 = 42122127869 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42122144253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42122144353) 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 23 ways as a sum of consecutive naturals, for example, 1581301 + ... + 1607717.

It is an arithmetic number, because the mean of its divisors is an integer number (2722533408).

Almost surely, 242122144253 is an apocalyptic number.

It is an amenable number.

42122144253 is a deficient number, since it is larger than the sum of its proper divisors (23218657539).

42122144253 is a wasteful number, since it uses less digits than its factorization.

42122144253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37281 (or 37274 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 42122144253 its reverse (35244122124), we get a palindrome (77366266377).

The spelling of 42122144253 in words is "forty-two billion, one hundred twenty-two million, one hundred forty-four thousand, two hundred fifty-three".

Divisors: 1 3 7 21 49 147 10847 26417 32541 75929 79251 184919 227787 531503 554757 1294433 1594509 3883299 286545199 859635597 2005816393 6017449179 14040714751 42122144253