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42124340214441 = 332435964048637
BaseRepresentation
bin10011001001111110101100…
…10101011011101010101001
312112011001021200211012201000
421210333112111123222221
521010131122043330231
6225331353231345213
711605245263660442
oct1144772625335251
9175131250735630
1042124340214441
1112470917965361
124883b90382209
131a67401275a04
14a58b868a62c9
154d0b3dc296e6
hex264fd655baa9

42124340214441 has 16 divisors (see below), whose sum is σ = 62408992867200. Its totient is φ = 28081740162384.

The previous prime is 42124340214433. The next prime is 42124340214449. The reversal of 42124340214441 is 14441204342124.

42124340214441 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 434 + 0 + 214 + 4 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (42124340214433) and next prime (42124340214449).

It is not a de Polignac number, because 42124340214441 - 23 = 42124340214433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42124340214396 and 42124340214405.

It is not an unprimeable number, because it can be changed into a prime (42124340214449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31366626 + ... + 32682011.

It is an arithmetic number, because the mean of its divisors is an integer number (3900562054200).

Almost surely, 242124340214441 is an apocalyptic number.

It is an amenable number.

42124340214441 is a deficient number, since it is larger than the sum of its proper divisors (20284652652759).

42124340214441 is a wasteful number, since it uses less digits than its factorization.

42124340214441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64073005 (or 64072999 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 42124340214441 its reverse (14441204342124), we get a palindrome (56565544556565).

The spelling of 42124340214441 in words is "forty-two trillion, one hundred twenty-four billion, three hundred forty million, two hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 9 27 24359 73077 219231 657693 64048637 192145911 576437733 1729313199 1560160748683 4680482246049 14041446738147 42124340214441