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11310444440 = 2359723312511
BaseRepresentation
bin10101000100010011…
…11010111110011000
31002012020121002221122
422202021322332120
5141130433210230
65110154024412
7550166122451
oct124211727630
932166532848
1011310444440
1148844a6349
122237a18108
1310b3341399
14794202128
15462e62be5
hex2a227af98

11310444440 has 64 divisors (see below), whose sum is σ = 25823266560. Its totient is φ = 4457963520.

The previous prime is 11310444433. The next prime is 11310444443. The reversal of 11310444440 is 4444401311.

11310444440 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 (11310444443) 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, 897785 + ... + 910295.

It is an arithmetic number, because the mean of its divisors is an integer number (403488540).

Almost surely, 211310444440 is an apocalyptic number.

11310444440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310444440 is an abundant number, since it is smaller than the sum of its proper divisors (14512822120).

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

11310444440 is a wasteful number, since it uses less digits than its factorization.

11310444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12852 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 11310444440 its reverse (4444401311), we get a palindrome (15754845751).

The spelling of 11310444440 in words is "eleven billion, three hundred ten million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 233 388 466 485 776 932 970 1165 1864 1940 2330 3880 4660 9320 12511 22601 25022 45202 50044 62555 90404 100088 113005 125110 180808 226010 250220 452020 500440 904040 1213567 2427134 2915063 4854268 5830126 6067835 9708536 11660252 12135670 14575315 23320504 24271340 29150630 48542680 58301260 116602520 282761111 565522222 1131044444 1413805555 2262088888 2827611110 5655222220 11310444440