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14454550305 = 3351317228499
BaseRepresentation
bin11010111011000111…
…01110111100100001
31101022100210020101000
431131203232330201
5214100331102210
610350151102213
71021124436036
oct153543567441
941270706330
1014454550305
116148242648
122974971969
13149483ca60
149b19db38d
15598ebeac0
hex35d8eef21

14454550305 has 96 divisors (see below), whose sum is σ = 29398320000. Its totient is φ = 6697257984.

The previous prime is 14454550273. The next prime is 14454550343. The reversal of 14454550305 is 50305545441.

14454550305 is a `hidden beast` number, since 144 + 5 + 4 + 5 + 503 + 0 + 5 = 666.

It is not a de Polignac number, because 14454550305 - 25 = 14454550273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14454550305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492946 + ... + 521444.

It is an arithmetic number, because the mean of its divisors is an integer number (306232500).

Almost surely, 214454550305 is an apocalyptic number.

14454550305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14454550305 is an abundant number, since it is smaller than the sum of its proper divisors (14943769695).

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

14454550305 is a wasteful number, since it uses less digits than its factorization.

14454550305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28560 (or 28537 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 14454550305 in words is "fourteen billion, four hundred fifty-four million, five hundred fifty thousand, three hundred five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 85 117 135 153 195 221 255 289 351 459 585 663 765 867 1105 1445 1755 1989 2295 2601 3315 3757 4335 5967 7803 9945 11271 13005 18785 28499 29835 33813 39015 56355 85497 101439 142495 169065 256491 370487 427485 484483 507195 769473 1111461 1282455 1453449 1852435 2422415 3334383 3847365 4360347 5557305 6298279 7267245 8236211 10003149 13081041 16671915 18894837 21801735 24708633 31491395 41181055 50015745 56684511 65405205 74125899 94474185 107070743 123543165 170053533 222377697 283422555 321212229 370629495 535353715 850267665 963636687 1111888485 1606061145 2890910061 4818183435 14454550305