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42213011413441 = 112412698453509
BaseRepresentation
bin10011001100100011110111…
…00011001101100111000001
312112110112011100022211112111
421212101323203031213001
521013104221410212231
6225440220103055321
711614534526510551
oct1146217343154701
9175415140284474
1042213011413441
11124a548a4a7600
1248991b8141541
131a728929b79bb
14a5d199107161
154d30cd5c74b1
hex26647b8cd9c1

42213011413441 has 12 divisors (see below), whose sum is σ = 46400555574100. Its totient is φ = 38374530495840.

The previous prime is 42213011413439. The next prime is 42213011413451. The reversal of 42213011413441 is 14431411031224.

42213011413441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14504062896400 + 27708948517041 = 3808420^2 + 5263929^2 .

It is not a de Polignac number, because 42213011413441 - 21 = 42213011413439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42213011413451) 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 11 ways as a sum of consecutive naturals, for example, 766795 + ... + 9220303.

Almost surely, 242213011413441 is an apocalyptic number.

It is an amenable number.

42213011413441 is a deficient number, since it is larger than the sum of its proper divisors (4187544160659).

42213011413441 is a wasteful number, since it uses less digits than its factorization.

42213011413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494800 (or 8494789 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 42213011413441 its reverse (14431411031224), we get a palindrome (56644422444665).

The spelling of 42213011413441 in words is "forty-two trillion, two hundred thirteen billion, eleven million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 11 121 41269 453959 4993549 8453509 92988599 1022874589 348867862921 3837546492131 42213011413441