Search a number
-
+
2032333304144 = 2411132659334057
BaseRepresentation
bin11101100100110000100…
…000010011000101010000
321012021210210122212220012
4131210300200103011100
5231244204311213034
64153350243534052
7266555054024633
oct35446040230520
97167723585805
102032333304144
117139a9192850
12289a6838a328
131198571624c0
1470518b55c1a
1537ceb8a5cce
hex1d930813150

2032333304144 has 80 divisors (see below), whose sum is σ = 4627799010240. Its totient is φ = 852404014080.

The previous prime is 2032333304129. The next prime is 2032333304153. The reversal of 2032333304144 is 4414033332302.

It is a self number, because there is not a number n which added to its sum of digits gives 2032333304144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5916764 + ... + 6250820.

It is an arithmetic number, because the mean of its divisors is an integer number (57847487628).

Almost surely, 22032333304144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032333304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313899505120).

2032333304144 is an abundant number, since it is smaller than the sum of its proper divisors (2595465706096).

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

2032333304144 is a wasteful number, since it uses less digits than its factorization.

2032333304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336748 (or 336742 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 2032333304144 its reverse (4414033332302), we get a palindrome (6446366636446).

The spelling of 2032333304144 in words is "two trillion, thirty-two billion, three hundred thirty-three million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 2659 5318 10636 21272 29249 34567 42544 58498 69134 116996 138268 233992 276536 334057 380237 467984 553072 668114 760474 1336228 1520948 2672456 3041896 3674627 4342741 5344912 6083792 7349254 8685482 14698508 17370964 29397016 34741928 47770151 58794032 69483856 95540302 191080604 382161208 764322416 888257563 1776515126 3553030252 7106060504 9770833193 11547348319 14212121008 19541666386 23094696638 39083332772 46189393276 78166665544 92378786552 127020831509 156333331088 184757573104 254041663018 508083326036 1016166652072 2032333304144