Search a number
-
+
21441103010424 = 2333374371878749
BaseRepresentation
bin1001110000000001001010…
…10101000001101001111000
32210220202020100000120111000
410320000211111001221320
510302242334332313144
6113333523505005000
74342032343344366
oct470004525015170
983822210016430
1021441103010424
116917136754429
1224a351a023760
13bc6b6c636146
14541a7d718636
15272aeb75a769
hex138025541a78

21441103010424 has 256 divisors, whose sum is σ = 63472464000000. Its totient is φ = 6696481559040.

The previous prime is 21441103010419. The next prime is 21441103010441. The reversal of 21441103010424 is 42401030114412.

21441103010424 is a `hidden beast` number, since 214 + 4 + 1 + 10 + 3 + 0 + 10 + 424 = 666.

It is a super-2 number, since 2×214411030104242 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23960202 + ... + 24838950.

It is an arithmetic number, because the mean of its divisors is an integer number (247939312500).

Almost surely, 221441103010424 is an apocalyptic number.

21441103010424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21441103010424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31736232000000).

21441103010424 is an abundant number, since it is smaller than the sum of its proper divisors (42031360989576).

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

21441103010424 is a wasteful number, since it uses less digits than its factorization.

21441103010424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878915 (or 878905 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21441103010424 its reverse (42401030114412), we get a palindrome (63842133124836).

The spelling of 21441103010424 in words is "twenty-one trillion, four hundred forty-one billion, one hundred three million, ten thousand, four hundred twenty-four".