Search a number
-
+
4022301112004 = 227220521944449
BaseRepresentation
bin111010100010000011110…
…101000011011011000100
3112020112021002011120102102
4322202003311003123010
51011400133041041004
612315453012131232
7563413241222300
oct72420365033304
915215232146372
104022301112004
11131093713114a
1254b670606b18
132323bc1476b6
14dc9750a2d00
156e968c6711e
hex3a883d436c4

4022301112004 has 18 divisors (see below), whose sum is σ = 8188255835550. Its totient is φ = 1723843333632.

The previous prime is 4022301112003. The next prime is 4022301112019. The reversal of 4022301112004 is 4002111032204.

It can be written as a sum of positive squares in only one way, i.e., 3559833109504 + 462468002500 = 1886752^2 + 680050^2 .

It is a super-2 number, since 2×40223011120042 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4022301112001) 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 5 ways as a sum of consecutive naturals, for example, 10260972029 + ... + 10260972420.

It is an arithmetic number, because the mean of its divisors is an integer number (454903101975).

Almost surely, 24022301112004 is an apocalyptic number.

It is an amenable number.

4022301112004 is an abundant number, since it is smaller than the sum of its proper divisors (4165954723546).

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

4022301112004 is a wasteful number, since it uses less digits than its factorization.

4022301112004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20521944467 (or 20521944458 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4022301112004 its reverse (4002111032204), we get a palindrome (8024412144208).

The spelling of 4022301112004 in words is "four trillion, twenty-two billion, three hundred one million, one hundred twelve thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 20521944449 41043888898 82087777796 143653611143 287307222286 574614444572 1005575278001 2011150556002 4022301112004