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11340320320 = 265725719699
BaseRepresentation
bin10101000111110111…
…11000111001000000
31002021022210221221201
422203323320321000
5141211110222240
65113142230544
7551011063240
oct124373707100
932238727851
1011340320320
11489a35155a
122245a25454
1310b95a1a14
1479817bb20
154658b4d9a
hex2a3ef8e40

11340320320 has 112 divisors (see below), whose sum is σ = 30983529600. Its totient is φ = 3872784384.

The previous prime is 11340320293. The next prime is 11340320323. The reversal of 11340320320 is 2302304311.

11340320320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (11340320323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565831 + ... + 585529.

Almost surely, 211340320320 is an apocalyptic number.

11340320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11340320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491764800).

11340320320 is an abundant number, since it is smaller than the sum of its proper divisors (19643209280).

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

11340320320 is a wasteful number, since it uses less digits than its factorization.

11340320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19980 (or 19970 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 11340320320 its reverse (2302304311), we get a palindrome (13642624631).

The spelling of 11340320320 in words is "eleven billion, three hundred forty million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 257 280 320 448 514 560 1028 1120 1285 1799 2056 2240 2570 3598 4112 5140 7196 8224 8995 10280 14392 16448 17990 19699 20560 28784 35980 39398 41120 57568 71960 78796 82240 98495 115136 137893 143920 157592 196990 275786 287840 315184 393980 551572 575680 630368 689465 787960 1103144 1260736 1378930 1575920 2206288 2757860 3151840 4412576 5062643 5515720 6303680 8825152 10125286 11031440 20250572 22062880 25313215 35438501 40501144 44125760 50626430 70877002 81002288 101252860 141754004 162004576 177192505 202505720 283508008 324009152 354385010 405011440 567016016 708770020 810022880 1134032032 1417540040 1620045760 2268064064 2835080080 5670160160 11340320320