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11441939089 = 74372592
BaseRepresentation
bin10101010011111111…
…00010001010010001
31002112102000201200211
422221333202022101
5141413114022324
65131212244121
7553353610000
oct125177421221
932472021624
1011441939089
114941749209
122273a70641
131104661279
147a7870c37
1546e789294
hex2a9fe2291

11441939089 has 45 divisors (see below), whose sum is σ = 13955105787. Its totient is φ = 9380578032.

The previous prime is 11441939083. The next prime is 11441939129. The reversal of 11441939089 is 98093914411.

The square root of 11441939089 is 106967.

It is a perfect power (a square), and thus also a powerful number.

11441939089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10238404225 + 1203534864 = 101185^2 + 34692^2 .

It is not a de Polignac number, because 11441939089 - 29 = 11441938577 is a prime.

It is a super-2 number, since 2×114419390892 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (11441939083) 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 44 ways as a sum of consecutive naturals, for example, 193931142 + ... + 193931200.

Almost surely, 211441939089 is an apocalyptic number.

11441939089 is the 106967-th square number.

11441939089 is the 53484-th centered octagonal number.

It is an amenable number.

11441939089 is a deficient number, since it is larger than the sum of its proper divisors (2513166698).

11441939089 is an frugal number, since it uses more digits than its factorization.

11441939089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

Multiplying 11441939089 by its sum of digits (49), we get a square (560655015361 = 7487692).

11441939089 divided by its sum of digits (49) gives a square (233508961 = 152812).

The spelling of 11441939089 in words is "eleven billion, four hundred forty-one million, nine hundred thirty-nine thousand, eighty-nine".

Divisors: 1 7 37 49 59 259 343 413 1369 1813 2183 2401 2891 3481 9583 12691 15281 20237 24367 67081 80771 88837 106967 128797 141659 170569 469567 565397 748769 901579 1193983 3286969 3957779 4765489 5241383 6311053 8357881 27704453 33358423 44177371 193931171 233508961 309241597 1634562727 11441939089