Search a number
-
+
21444221431413 = 32116712592567879
BaseRepresentation
bin1001110000000110111110…
…01100110110111001110101
32210221001021122212202212200
410320003133030312321311
510302320231141301123
6113335201143335113
74342202540443644
oct470033714667165
983831248782780
1021444221431413
116918496a48260
1224a404a451499
13bc7248710971
14541c9794935b
15272c303e2143
hex1380df336e75

21444221431413 has 48 divisors (see below), whose sum is σ = 34322489510400. Its totient is φ = 12792346475040.

The previous prime is 21444221431393. The next prime is 21444221431447. The reversal of 21444221431413 is 31413412244412.

21444221431413 is a `hidden beast` number, since 2 + 14 + 4 + 4 + 221 + 4 + 3 + 1 + 413 = 666.

It is not a de Polignac number, because 21444221431413 - 240 = 20344709803637 is a prime.

It is a super-2 number, since 2×214442214314132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444221431013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7067008 + ... + 9634886.

It is an arithmetic number, because the mean of its divisors is an integer number (715051864800).

Almost surely, 221444221431413 is an apocalyptic number.

It is an amenable number.

21444221431413 is a deficient number, since it is larger than the sum of its proper divisors (12878268078987).

21444221431413 is a wasteful number, since it uses less digits than its factorization.

21444221431413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569222 (or 2569219 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 21444221431413 its reverse (31413412244412), we get a palindrome (52857633675825).

The spelling of 21444221431413 in words is "twenty-one trillion, four hundred forty-four billion, two hundred twenty-one million, four hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 9 11 33 67 99 201 603 737 1259 2211 3777 6633 11331 13849 41547 84353 124641 253059 759177 927883 2567879 2783649 7703637 8350947 23110911 28246669 84740007 172047893 254220021 516143679 1548431037 1892526823 3232959661 5677580469 9698878983 17032741407 29096636949 35562556271 106687668813 216608297287 320063006439 649824891861 1949474675583 2382691270157 7148073810471 21444221431413