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21444232401 = 3225719014877
BaseRepresentation
bin10011111110001011…
…010000010011010001
32001100111002212122200
4103332023100103101
5322404210414101
613503520153413
71356256652664
oct237613202321
961314085580
1021444232401
11910478a219
1241a5768869
132039972517
14107602d6db
1585794b986
hex4fe2d04d1

21444232401 has 24 divisors (see below), whose sum is σ = 31118264424. Its totient is φ = 14230118400.

The previous prime is 21444232387. The next prime is 21444232421. The reversal of 21444232401 is 10423244412.

21444232401 is a `hidden beast` number, since 21 + 4 + 4 + 4 + 232 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2674958400 + 18769274001 = 51720^2 + 137001^2 .

It is not a de Polignac number, because 21444232401 - 219 = 21443708113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21444232421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4394575 + ... + 4399451.

It is an arithmetic number, because the mean of its divisors is an integer number (1296594351).

Almost surely, 221444232401 is an apocalyptic number.

It is an amenable number.

21444232401 is a deficient number, since it is larger than the sum of its proper divisors (9674032023).

21444232401 is a wasteful number, since it uses less digits than its factorization.

21444232401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21444232401 its reverse (10423244412), we get a palindrome (31867476813).

The spelling of 21444232401 in words is "twenty-one billion, four hundred forty-four million, two hundred thirty-two thousand, four hundred one".

Divisors: 1 3 9 257 771 1901 2313 4877 5703 14631 17109 43893 488557 1253389 1465671 3760167 4397013 9271177 11280501 27813531 83440593 2382692489 7148077467 21444232401