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2144316330 = 2325135693221
BaseRepresentation
bin111111111001111…
…1010101110101010
312112102220120000100
41333303322232222
513342421110310
6552440050230
7104065250052
oct17763725652
95472816010
102144316330
11a00457662
124ba163976
13282336240
14164b04562
15c83bcec0
hex7fcfabaa

2144316330 has 96 divisors (see below), whose sum is σ = 6016505040. Its totient is φ = 526740480.

The previous prime is 2144316323. The next prime is 2144316331. The reversal of 2144316330 is 336134412.

2144316330 is a `hidden beast` number, since 2 + 14 + 4 + 316 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 455352921 + 1688963409 = 21339^2 + 41097^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2144316294 and 2144316303.

It is not an unprimeable number, because it can be changed into a prime (2144316331) 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, 664120 + ... + 667340.

Almost surely, 22144316330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144316330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008252520).

2144316330 is an abundant number, since it is smaller than the sum of its proper divisors (3872188710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2144316330 is a wasteful number, since it uses less digits than its factorization.

2144316330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2144316330 is about 46306.7633289134. The cubic root of 2144316330 is about 1289.5245588839.

It can be divided in two parts, 21443 and 16330, that added together give a palindrome (37773).

The spelling of 2144316330 in words is "two billion, one hundred forty-four million, three hundred sixteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 569 585 1138 1170 1707 2845 3221 3414 5121 5690 6442 7397 8535 9663 10242 14794 16105 17070 19326 22191 25605 28989 32210 36985 41873 44382 48315 51210 57978 66573 73970 83746 96630 110955 125619 133146 144945 209365 221910 251238 289890 332865 376857 418730 628095 665730 753714 1256190 1832749 1884285 3665498 3768570 5498247 9163745 10996494 16494741 18327490 23825737 27491235 32989482 47651474 54982470 71477211 82473705 119128685 142954422 164947410 214431633 238257370 357386055 428863266 714772110 1072158165 2144316330