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21144100023441 = 334331808579251
BaseRepresentation
bin1001100111010111111101…
…00100100010110010010001
32202212100121200111120201000
410303223332210202302101
510232411104101222231
6112545244312132213
74311416336534223
oct463537644426221
982770550446630
1021144100023441
11681218726839a
122455a50397069
13ba4b596b4325
14531546642413
1526a0172506e6
hex133afe922c91

21144100023441 has 16 divisors (see below), whose sum is σ = 31396935814720. Its totient is φ = 14063512248000.

The previous prime is 21144100023419. The next prime is 21144100023451. The reversal of 21144100023441 is 14432000144112.

21144100023441 is a `hidden beast` number, since 2 + 1 + 14 + 410 + 0 + 0 + 234 + 4 + 1 = 666.

It is not a de Polignac number, because 21144100023441 - 241 = 18945076767889 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21144100023451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904277935 + ... + 904301316.

It is an arithmetic number, because the mean of its divisors is an integer number (1962308488420).

Almost surely, 221144100023441 is an apocalyptic number.

It is an amenable number.

21144100023441 is a deficient number, since it is larger than the sum of its proper divisors (10252835791279).

21144100023441 is a wasteful number, since it uses less digits than its factorization.

21144100023441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808579693 (or 1808579687 counting only the distinct ones).

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

Adding to 21144100023441 its reverse (14432000144112), we get a palindrome (35576100167553).

The spelling of 21144100023441 in words is "twenty-one trillion, one hundred forty-four billion, one hundred million, twenty-three thousand, four hundred forty-one".

Divisors: 1 3 9 27 433 1299 3897 11691 1808579251 5425737753 16277213259 48831639777 783114815683 2349344447049 7048033341147 21144100023441