Search a number
-
+
21144132434403 = 3311570971246867
BaseRepresentation
bin1001100111011000000001…
…00000001011100111100011
32202212100200221111020012000
410303230000200023213203
510232411140400400103
6112545251430535043
74311420212163636
oct463540040134743
982770627436160
1021144132434403
1168121a3595210
122455a5b207483
13ba4b63321804
1453154aa7bc1d
1526a01a003aa3
hex133b0080b9e3

21144132434403 has 32 divisors (see below), whose sum is σ = 34172961150720. Its totient is φ = 12814391004480.

The previous prime is 21144132434377. The next prime is 21144132434437. The reversal of 21144132434403 is 30443423144112.

21144132434403 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 4 + 1 + 3 + 243 + 4 + 403 = 666.

It is not a de Polignac number, because 21144132434403 - 29 = 21144132433891 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21144132434203) 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 31 ways as a sum of consecutive naturals, for example, 16334376 + ... + 17581242.

It is an arithmetic number, because the mean of its divisors is an integer number (1067905035960).

Almost surely, 221144132434403 is an apocalyptic number.

21144132434403 is a deficient number, since it is larger than the sum of its proper divisors (13028828716317).

21144132434403 is a wasteful number, since it uses less digits than its factorization.

21144132434403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303984 (or 1303978 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 21144132434403 its reverse (30443423144112), we get a palindrome (51587555578515).

The spelling of 21144132434403 in words is "twenty-one trillion, one hundred forty-four billion, one hundred thirty-two million, four hundred thirty-four thousand, four hundred three".

Divisors: 1 3 9 11 27 33 99 297 57097 171291 513873 628067 1246867 1541619 1884201 3740601 5652603 11221803 13715537 16957809 33665409 41146611 123439833 370319499 71192365099 213577095297 640731285891 783116016089 1922193857673 2349348048267 7048044144801 21144132434403