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14288546340 = 2233542162851
BaseRepresentation
bin11010100111010100…
…11110101000100100
31100212210102100202000
431103222132220210
5213230331440330
610321501045300
71014040432335
oct152352365044
940783370660
1014288546340
11607256a392
122929256830
131469329563
1499794828c
1558962d560
hex353a9ea24

14288546340 has 96 divisors (see below), whose sum is σ = 44559553920. Its totient is φ = 3801168000.

The previous prime is 14288546339. The next prime is 14288546347. The reversal of 14288546340 is 4364588241.

14288546340 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 8 + 5 + 4 + 634 + 0 = 666.

14288546340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (14288546347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195915 + ... + 258765.

It is an arithmetic number, because the mean of its divisors is an integer number (464162020).

Almost surely, 214288546340 is an apocalyptic number.

14288546340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14288546340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22279776960).

14288546340 is an abundant number, since it is smaller than the sum of its proper divisors (30271007580).

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

14288546340 is a wasteful number, since it uses less digits than its factorization.

14288546340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63290 (or 63282 counting only the distinct ones).

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

It can be divided in two parts, 142885 and 46340, that added together give a square (189225 = 4352).

The spelling of 14288546340 in words is "fourteen billion, two hundred eighty-eight million, five hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 421 540 842 1263 1684 2105 2526 3789 4210 5052 6315 7578 8420 11367 12630 15156 18945 22734 25260 37890 45468 56835 62851 75780 113670 125702 188553 227340 251404 314255 377106 565659 628510 754212 942765 1131318 1257020 1696977 1885530 2262636 2828295 3393954 3771060 5656590 6787908 8484885 11313180 16969770 26460271 33939540 52920542 79380813 105841084 132301355 158761626 238142439 264602710 317523252 396904065 476284878 529205420 714427317 793808130 952569756 1190712195 1428854634 1587616260 2381424390 2857709268 3572136585 4762848780 7144273170 14288546340