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21144142001143 = 729107973442383
BaseRepresentation
bin1001100111011000000010…
…00100101011001111110111
32202212100201121111021021201
410303230001010223033313
510232411200323014033
6112545252411553331
74311420356410210
oct463540104531767
982770647437251
1021144142001143
1168121a8a29907
122455a6245b847
13ba4b652c10c5
1453154c04c407
1526a01ac9347d
hex133b0112b3f7

21144142001143 has 16 divisors (see below), whose sum is σ = 25231626593280. Its totient is φ = 17335061938656.

The previous prime is 21144142001119. The next prime is 21144142001153. The reversal of 21144142001143 is 34110024144112.

It is a happy number.

It is not a de Polignac number, because 21144142001143 - 25 = 21144142001111 is a prime.

It is a super-2 number, since 2×211441420011432 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21144142001153) 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, 486699471 + ... + 486742912.

It is an arithmetic number, because the mean of its divisors is an integer number (1576976662080).

Almost surely, 221144142001143 is an apocalyptic number.

21144142001143 is a deficient number, since it is larger than the sum of its proper divisors (4087484592137).

21144142001143 is a wasteful number, since it uses less digits than its factorization.

21144142001143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973442526.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 21144142001143 its reverse (34110024144112), we get a palindrome (55254166145255).

The spelling of 21144142001143 in words is "twenty-one trillion, one hundred forty-four billion, one hundred forty-two million, one thousand, one hundred forty-three".

Divisors: 1 7 29 107 203 749 3103 21721 973442383 6814096681 28229829107 104158334981 197608803749 729108344867 3020591714449 21144142001143