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11340313040 = 245722892937
BaseRepresentation
bin10101000111110111…
…10111000111010000
31002021022210120222002
422203323313013100
5141211110004130
65113142133132
7551011033100
oct124373670720
932238716862
1011340313040
11489a347041
122245a211a8
1310b959b604
14798179200
154658b2b45
hex2a3ef71d0

11340313040 has 60 divisors (see below), whose sum is σ = 30670928676. Its totient is φ = 3888105984.

The previous prime is 11340313037. The next prime is 11340313051. The reversal of 11340313040 is 4031304311.

It can be written as a sum of positive squares in 2 ways, for example, as 1258546576 + 10081766464 = 35476^2 + 100408^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1442549 + ... + 1450388.

Almost surely, 211340313040 is an apocalyptic number.

11340313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11340313040 is an abundant number, since it is smaller than the sum of its proper divisors (19330615636).

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

11340313040 is a wasteful number, since it uses less digits than its factorization.

11340313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892964 (or 2892951 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11340313040 its reverse (4031304311), we get a palindrome (15371617351).

The spelling of 11340313040 in words is "eleven billion, three hundred forty million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 2892937 5785874 11571748 14464685 20250559 23143496 28929370 40501118 46286992 57858740 81002236 101252795 115717480 141753913 162004472 202505590 231434960 283507826 324008944 405011180 567015652 708769565 810022360 1134031304 1417539130 1620044720 2268062608 2835078260 5670156520 11340313040