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11308820440 = 2351567118041
BaseRepresentation
bin10101000100000111…
…01110011111011000
31002012010112121020111
422202003232133120
5141130024223230
65110055134104
7550146246661
oct124203563730
932163477214
1011308820440
1148835971a5
122237374334
1310b2bc3138
14793cdc368
15462c4192a
hex2a20ee7d8

11308820440 has 32 divisors (see below), whose sum is σ = 25447880160. Its totient is φ = 4522988800.

The previous prime is 11308820423. The next prime is 11308820443. The reversal of 11308820440 is 4402880311.

11308820440 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 not an unprimeable number, because it can be changed into a prime (11308820443) 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 7 ways as a sum of consecutive naturals, for example, 617820 + ... + 635860.

It is an arithmetic number, because the mean of its divisors is an integer number (795246255).

Almost surely, 211308820440 is an apocalyptic number.

11308820440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11308820440 is an abundant number, since it is smaller than the sum of its proper divisors (14139059720).

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

11308820440 is a wasteful number, since it uses less digits than its factorization.

11308820440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33723 (or 33719 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 11308820440 in words is "eleven billion, three hundred eight million, eight hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 15671 18041 31342 36082 62684 72164 78355 90205 125368 144328 156710 180410 313420 360820 626840 721640 282720511 565441022 1130882044 1413602555 2261764088 2827205110 5654410220 11308820440