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1144132304641 = 17277242967149
BaseRepresentation
bin10000101001100011100…
…110010111111100000001
311001101012112210010112021
4100221203212113330001
5122221140332222031
62233335050001441
7145442444061514
oct20514346277401
94041175703467
101144132304641
11401250949737
121658a7716281
1383b77cc39c1
143d53a7c8d7b
151eb65144511
hex10a63997f01

1144132304641 has 8 divisors (see below), whose sum is σ = 1215807618600. Its totient is φ = 1072942925568.

The previous prime is 1144132304611. The next prime is 1144132304663. The reversal of 1144132304641 is 1464032314411.

It can be written as a sum of positive squares in 4 ways, for example, as 147721079025 + 996411225616 = 384345^2 + 998204^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1144132304641 - 219 = 1144131780353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1144132304597 and 1144132304606.

It is not an unprimeable number, because it can be changed into a prime (1144132304611) 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 7 ways as a sum of consecutive naturals, for example, 121478866 + ... + 121488283.

It is an arithmetic number, because the mean of its divisors is an integer number (151975952325).

Almost surely, 21144132304641 is an apocalyptic number.

It is an amenable number.

1144132304641 is a deficient number, since it is larger than the sum of its proper divisors (71675313959).

1144132304641 is a wasteful number, since it uses less digits than its factorization.

1144132304641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242967443.

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 1144132304641 in words is "one trillion, one hundred forty-four billion, one hundred thirty-two million, three hundred four thousand, six hundred forty-one".

Divisors: 1 17 277 4709 242967149 4130441533 67301900273 1144132304641