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21144041433 = 3229177745589
BaseRepresentation
bin10011101100010010…
…000111011111011001
32000120120020121001200
4103230102013133121
5321300333311213
613414034104413
71345653246444
oct235422073731
960516217050
1021144041433
118a70295309
12412111b109
131cbc708828
14104820a65b
1583b401273
hex4ec4877d9

21144041433 has 24 divisors (see below), whose sum is σ = 31613017800. Its totient is φ = 13602000384.

The previous prime is 21144041417. The next prime is 21144041441. The reversal of 21144041433 is 33414044112.

21144041433 is a `hidden beast` number, since 2 + 114 + 404 + 143 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1394798409 + 19749243024 = 37347^2 + 140532^2 .

It is not a de Polignac number, because 21144041433 - 24 = 21144041417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21144041397 and 21144041406.

It is not an unprimeable number, because it can be changed into a prime (21144041033) 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 23 ways as a sum of consecutive naturals, for example, 441003 + ... + 486591.

It is an arithmetic number, because the mean of its divisors is an integer number (1317209075).

Almost surely, 221144041433 is an apocalyptic number.

It is an amenable number.

21144041433 is a deficient number, since it is larger than the sum of its proper divisors (10468976367).

21144041433 is a wasteful number, since it uses less digits than its factorization.

21144041433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47401 (or 47398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21144041433 its reverse (33414044112), we get a palindrome (54558085545).

The spelling of 21144041433 in words is "twenty-one billion, one hundred forty-four million, forty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 29 87 261 1777 5331 15993 45589 51533 136767 154599 410301 463797 1322081 3966243 11898729 81011653 243034959 729104877 2349337937 7048013811 21144041433