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11440503412000 = 255313220009681
BaseRepresentation
bin1010011001111011001100…
…1001000101010100100000
31111111200221100112120020121
42212132303021011110200
52444420122333141000
640155410020250024
72260356224332525
oct246366311052440
944450840476217
1011440503412000
113710987a17223
1213492b5540914
1364cab11c2a70
142b7a1ab0914c
1514c8d8d78b1a
hexa67b3245520

11440503412000 has 96 divisors (see below), whose sum is σ = 30271572165744. Its totient is φ = 4224185856000.

The previous prime is 11440503411989. The next prime is 11440503412001. The reversal of 11440503412000 is 21430504411.

It can be written as a sum of positive squares in 8 ways, for example, as 215403661456 + 11225099750544 = 464116^2 + 3350388^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11440503412001) 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, 109952841 + ... + 110056840.

Almost surely, 211440503412000 is an apocalyptic number.

11440503412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11440503412000 is an abundant number, since it is smaller than the sum of its proper divisors (18831068753744).

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

11440503412000 is a wasteful number, since it uses less digits than its factorization.

11440503412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220009719 (or 220009701 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 11440503412000 its reverse (21430504411), we get a palindrome (11461933916411).

The spelling of 11440503412000 in words is "eleven trillion, four hundred forty billion, five hundred three million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 220009681 440019362 880038724 1100048405 1760077448 2200096810 2860125853 3520154896 4400193620 5500242025 5720251706 7040309792 8800387240 11000484050 11440503412 14300629265 17600774480 22000968100 22881006824 27501210125 28601258530 35201548960 44001936200 45762013648 55002420250 57202517060 71503146325 88003872400 91524027296 110004840500 114405034120 143006292650 176007744800 220009681000 228810068240 286012585300 357515731625 440019362000 457620136480 572025170600 715031463250 880038724000 1144050341200 1430062926500 2288100682400 2860125853000 5720251706000 11440503412000