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14443953489 = 3272592972
BaseRepresentation
bin11010111001110110…
…10011110101010001
31101021121211212021100
431130323103311101
5214040123002424
610345132015013
71020635402400
oct153473236521
941247755240
1014443953489
116142265049
122971301469
13149259c654
149b043d637
155980c9dc9
hex35ced3d51

14443953489 has 81 divisors (see below), whose sum is σ = 24945236667. Its totient is φ = 8030147328.

The previous prime is 14443953487. The next prime is 14443953493. The reversal of 14443953489 is 98435934441.

The square root of 14443953489 is 120183.

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

14443953489 is a `hidden beast` number, since 1 + 4 + 443 + 95 + 34 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6485886225 + 7958067264 = 80535^2 + 89208^2 .

It is not a de Polignac number, because 14443953489 - 21 = 14443953487 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14443953487) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 148906689 + ... + 148906785.

Almost surely, 214443953489 is an apocalyptic number.

14443953489 is the 120183-rd square number.

14443953489 is the 60092-nd centered octagonal number.

It is an amenable number.

14443953489 is a deficient number, since it is larger than the sum of its proper divisors (10501283178).

14443953489 is an frugal number, since it uses more digits than its factorization.

14443953489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 166 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 14443953489 in words is "fourteen billion, four hundred forty-three million, nine hundred fifty-three thousand, four hundred eighty-nine".

Divisors: 1 3 7 9 21 49 59 63 97 147 177 291 413 441 531 679 873 1239 2037 2891 3481 3717 4753 5723 6111 8673 9409 10443 14259 17169 24367 26019 28227 31329 40061 42777 51507 65863 73101 84681 120183 170569 197589 219303 280427 337657 360549 461041 511707 555131 592767 841281 1012971 1383123 1535121 1665393 2363599 2523843 3038913 3885917 4149369 4996179 7090797 11657751 16545193 21272391 27201419 32752729 34973253 49635579 81604257 98258187 148906737 229269103 244812771 294774561 687807309 1604883721 2063421927 4814651163 14443953489