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14455514240 = 27597232853
BaseRepresentation
bin11010111011001110…
…11010010010000000
31101022102121012122022
431131213122102000
5214101102423430
610350223501012
71021135562246
oct153547322200
941272535568
1014455514240
116148840892
122975157768
131494ab972b
149b1bac796
155991104e5
hex35d9da480

14455514240 has 64 divisors (see below), whose sum is σ = 34914128760. Its totient is φ = 5722570752.

The previous prime is 14455514233. The next prime is 14455514287. The reversal of 14455514240 is 4241555441.

It can be written as a sum of positive squares in 4 ways, for example, as 14157192256 + 298321984 = 118984^2 + 17272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 14455514240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54347 + ... + 178506.

Almost surely, 214455514240 is an apocalyptic number.

14455514240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14455514240 is an abundant number, since it is smaller than the sum of its proper divisors (20458614520).

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

14455514240 is an equidigital number, since it uses as much as digits as its factorization.

14455514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232969 (or 232957 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 14455514240 in words is "fourteen billion, four hundred fifty-five million, five hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1552 1940 3104 3880 6208 7760 12416 15520 31040 62080 232853 465706 931412 1164265 1862824 2328530 3725648 4657060 7451296 9314120 14902592 18628240 22586741 29805184 37256480 45173482 74512960 90346964 112933705 149025920 180693928 225867410 361387856 451734820 722775712 903469640 1445551424 1806939280 2891102848 3613878560 7227757120 14455514240