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11411320440 = 2335137314949
BaseRepresentation
bin10101010000010101…
…01110111001111000
31002110021102010210210
422220022232321320
5141332244223230
65124200111120
7552532423542
oct125012567170
932407363723
1011411320440
114926435a43
1222657654a0
1310cb200820
147a3780692
1546bc3beb0
hex2a82aee78

11411320440 has 64 divisors (see below), whose sum is σ = 36867348000. Its totient is φ = 2808940032.

The previous prime is 11411320439. The next prime is 11411320469. The reversal of 11411320440 is 4402311411.

11411320440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 3655915 + ... + 3659034.

Almost surely, 211411320440 is an apocalyptic number.

11411320440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11411320440 is an abundant number, since it is smaller than the sum of its proper divisors (25456027560).

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

11411320440 is a wasteful number, since it uses less digits than its factorization.

11411320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314976 (or 7314972 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11411320440 its reverse (4402311411), we get a palindrome (15813631851).

The spelling of 11411320440 in words is "eleven billion, four hundred eleven million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 7314949 14629898 21944847 29259796 36574745 43889694 58519592 73149490 87779388 95094337 109724235 146298980 175558776 190188674 219448470 285283011 292597960 380377348 438896940 475471685 570566022 760754696 877793880 950943370 1141132044 1426415055 1901886740 2282264088 2852830110 3803773480 5705660220 11411320440