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14448540249 = 32111323312609
BaseRepresentation
bin11010111010011001…
…10011101001011001
31101021221110220010100
431131030303221121
5214042311241444
610345414210013
71021022365023
oct153514635131
941257426110
1014448540249
116144908160
122972953909
131493517300
149b0cb5013
155986d3e69
hex35d333a59

14448540249 has 72 divisors (see below), whose sum is σ = 24737412960. Its totient is φ = 8055590400.

The previous prime is 14448540241. The next prime is 14448540299. The reversal of 14448540249 is 94204584441.

14448540249 is a `hidden beast` number, since 1 + 44 + 48 + 540 + 24 + 9 = 666.

It is not a de Polignac number, because 14448540249 - 23 = 14448540241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14448540241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5536657 + ... + 5539265.

It is an arithmetic number, because the mean of its divisors is an integer number (343575180).

Almost surely, 214448540249 is an apocalyptic number.

It is an amenable number.

14448540249 is a deficient number, since it is larger than the sum of its proper divisors (10288872711).

14448540249 is a wasteful number, since it uses less digits than its factorization.

14448540249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 14448540249 in words is "fourteen billion, four hundred forty-eight million, five hundred forty thousand, two hundred forty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 143 169 331 429 507 993 1287 1521 1859 2609 2979 3641 4303 5577 7827 10923 12909 16731 23481 28699 32769 33917 38727 47333 55939 86097 101751 141999 167817 258291 305253 373087 425997 440921 503451 615329 863579 1119261 1322763 1845987 2590737 3357783 3968289 4850131 5537961 7772211 9499369 11226527 14550393 28498107 33679581 43651179 85494321 101038743 123491797 145944851 370475391 437834553 1111426173 1313503659 1605393361 4816180083 14448540249