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144044104020021 = 32173797262319513
BaseRepresentation
bin100000110000000111100001…
…101001101111000000110101
3200220000111000021102121010100
4200300013201221233000311
5122340004311112120041
61230204540423144313
742224562115214022
oct4060074151570065
9626014007377110
10144044104020021
1141995841551937
12141a4866ba5099
13624b3ba9005aa
14277dab3ca8549
15119bdb73ee6b6
hex8301e1a6f035

144044104020021 has 48 divisors (see below), whose sum is σ = 228589421611824. Its totient is φ = 87031318413312.

The previous prime is 144044104020013. The next prime is 144044104020077. The reversal of 144044104020021 is 120020401440441.

It is a happy number.

144044104020021 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 4 + 410 + 40 + 200 + 2 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 265059195921 + 143779044824100 = 514839^2 + 11990790^2 .

It is not a de Polignac number, because 144044104020021 - 23 = 144044104020013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144044104020001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130610640 + ... + 131708873.

It is an arithmetic number, because the mean of its divisors is an integer number (4762279616913).

Almost surely, 2144044104020021 is an apocalyptic number.

It is an amenable number.

144044104020021 is a deficient number, since it is larger than the sum of its proper divisors (84545317591803).

144044104020021 is a wasteful number, since it uses less digits than its factorization.

144044104020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262319670 (or 262319667 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 144044104020021 its reverse (120020401440441), we get a palindrome (264064505460462).

The spelling of 144044104020021 in words is "one hundred forty-four trillion, forty-four billion, one hundred four million, twenty thousand, twenty-one".

Divisors: 1 3 9 17 37 51 97 111 153 291 333 629 873 1649 1887 3589 4947 5661 10767 14841 32301 61013 183039 549117 262319513 786958539 2360875617 4459431721 9705821981 13378295163 25444992761 29117465943 40134885489 76334978283 87352397829 164998973677 229004934849 432564876937 494996921031 941464732157 1297694630811 1484990763093 2824394196471 3893083892433 8473182589413 16004900446669 48014701340007 144044104020021