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21144140024131 = 101463764959113
BaseRepresentation
bin1001100111011000000001…
…11101001000100101000011
32202212100201110202211100001
410303230000331020211003
510232411144321233011
6112545252301340431
74311420333534265
oct463540075104503
982770643684301
1021144140024131
1168121a78a9513
122455a61867717
13ba4b64a7b287
1453154ba95b35
1526a01aa027c1
hex133b00f48943

21144140024131 has 16 divisors (see below), whose sum is σ = 21402767548800. Its totient is φ = 20886492211200.

The previous prime is 21144140024093. The next prime is 21144140024153. The reversal of 21144140024131 is 13142004144112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21144140024131 - 27 = 21144140024003 is a prime.

It is a super-2 number, since 2×211441400241312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21144140024131.

It is not an unprimeable number, because it can be changed into a prime (21144140004131) 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 15 ways as a sum of consecutive naturals, for example, 357660631 + ... + 357719743.

It is an arithmetic number, because the mean of its divisors is an integer number (1337672971800).

Almost surely, 221144140024131 is an apocalyptic number.

21144140024131 is a deficient number, since it is larger than the sum of its proper divisors (258627524669).

21144140024131 is a wasteful number, since it uses less digits than its factorization.

21144140024131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67326.

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

Adding to 21144140024131 its reverse (13142004144112), we get a palindrome (34286144168243).

The spelling of 21144140024131 in words is "twenty-one trillion, one hundred forty-four billion, one hundred forty million, twenty-four thousand, one hundred thirty-one".

Divisors: 1 101 463 7649 46763 59113 772549 3541487 5970413 27369319 357690187 452155337 2764301219 45667689037 209347921031 21144140024131