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11344201340430 = 2357210917073459
BaseRepresentation
bin1010010100010100011100…
…0101110101011000001110
31111011111100220012110011010
42211011013011311120032
52441330411020343210
640043242032510050
72250406612252500
oct245050705653016
944144326173133
1011344201340430
113684059a06522
1213326ba0ab326
136439a486006a
142b30c2c49d70
1514a14e5e6920
hexa514717560e

11344201340430 has 96 divisors (see below), whose sum is σ = 31700191985280. Its totient is φ = 2590583257920.

The previous prime is 11344201340377. The next prime is 11344201340431. The reversal of 11344201340430 is 3404310244311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344201340431) 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, 1932960 + ... + 5140499.

It is an arithmetic number, because the mean of its divisors is an integer number (330210333180).

Almost surely, 211344201340430 is an apocalyptic number.

11344201340430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11344201340430 is an abundant number, since it is smaller than the sum of its proper divisors (20355990644850).

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

11344201340430 is a wasteful number, since it uses less digits than its factorization.

11344201340430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074574 (or 7074567 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 11344201340430 its reverse (3404310244311), we get a palindrome (14748511584741).

The spelling of 11344201340430 in words is "eleven trillion, three hundred forty-four billion, two hundred one million, three hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1091 1470 2182 3273 5455 6546 7637 10910 15274 16365 22911 32730 38185 45822 53459 76370 106918 114555 160377 229110 267295 320754 534590 801885 1603770 7073459 14146918 21220377 35367295 42440754 49514213 70734590 99028426 106101885 148542639 212203770 247571065 297085278 346599491 495142130 693198982 742713195 1039798473 1485426390 1732997455 2079596946 3465994910 5198992365 7717143769 10397984730 15434287538 23151431307 38585718845 46302862614 54020006383 77171437690 108040012766 115757156535 162060019149 231514313070 270100031915 324120038298 378140044681 540200063830 756280089362 810300095745 1134420134043 1620600191490 1890700223405 2268840268086 3781400446810 5672100670215 11344201340430