Search a number
-
+
4021442410122 = 23437670911313
BaseRepresentation
bin111010100001010000101…
…001010111011010001010
3112020110001020100222220000
4322201100221113122022
51011341403224110442
612315231455143430
7563353043326254
oct72412051273212
915213036328800
104021442410122
111310536446775
1254b470b14b76
132322b3280687
14dc8d3016cd4
156e918696d4c
hex3a850a5768a

4021442410122 has 40 divisors (see below), whose sum is σ = 9254550665316. Its totient is φ = 1304251590528.

The previous prime is 4021442410121. The next prime is 4021442410177. The reversal of 4021442410122 is 2210142441204.

4021442410122 is a `hidden beast` number, since 4 + 0 + 214 + 424 + 1 + 0 + 1 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3116111093001 + 905331317121 = 1765251^2 + 951489^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4021442410121) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 335449663 + ... + 335461650.

Almost surely, 24021442410122 is an apocalyptic number.

4021442410122 is an abundant number, since it is smaller than the sum of its proper divisors (5233108255194).

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

4021442410122 is a wasteful number, since it uses less digits than its factorization.

4021442410122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670911364 (or 670911355 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4021442410122 its reverse (2210142441204), we get a palindrome (6231584851326).

The spelling of 4021442410122 in words is "four trillion, twenty-one billion, four hundred forty-two million, four hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2997 5994 670911313 1341822626 2012733939 4025467878 6038201817 12076403634 18114605451 24823718581 36229210902 49647437162 54343816353 74471155743 108687632706 148942311486 223413467229 446826934458 670240401687 1340480803374 2010721205061 4021442410122