Search a number
-
+
14244842880 = 273252473063
BaseRepresentation
bin11010100010000111…
…10000110110000000
31100202202011222212100
431101003300312000
5213133134433010
610313300230400
71013000111112
oct152103606600
940682158770
1014244842880
11604a92a324
12291669b400
131460267118
14991c0d3b2
155858992c0
hex3510f0d80

14244842880 has 96 divisors (see below), whose sum is σ = 49189242960. Its totient is φ = 3798623232.

The previous prime is 14244842869. The next prime is 14244842897. The reversal of 14244842880 is 8824844241.

14244842880 is a `hidden beast` number, since 142 + 4 + 4 + 8 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1230772 + ... + 1242291.

Almost surely, 214244842880 is an apocalyptic number.

14244842880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14244842880 is an abundant number, since it is smaller than the sum of its proper divisors (34944400080).

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

14244842880 is a wasteful number, since it uses less digits than its factorization.

14244842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473088 (or 2473073 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The spelling of 14244842880 in words is "fourteen billion, two hundred forty-four million, eight hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 2473063 4946126 7419189 9892252 12365315 14838378 19784504 22257567 24730630 29676756 37095945 39569008 44515134 49461260 59353512 74191890 79138016 89030268 98922520 111287835 118707024 148383780 158276032 178060536 197845040 222575670 237414048 296767560 316552064 356121072 395690080 445151340 474828096 593535120 712242144 791380160 890302680 949656192 1187070240 1424484288 1582760320 1780605360 2374140480 2848968576 3561210720 4748280960 7122421440 14244842880