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14491949200 = 2452173675807
BaseRepresentation
bin11010111111100100…
…11001100010010000
31101101222011022000021
431133302121202100
5214134414333300
610354004433224
71022060351521
oct153762314220
941358138007
1014491949200
116167366a23
1229853a8814
13149c505691
149b6974848
1559c40ad1a
hex35fc99890

14491949200 has 120 divisors (see below), whose sum is σ = 36971776512. Its totient is φ = 5439989760.

The previous prime is 14491949191. The next prime is 14491949201. The reversal of 14491949200 is 294919441.

14491949200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14491949201) 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 23 ways as a sum of consecutive naturals, for example, 2492697 + ... + 2498503.

Almost surely, 214491949200 is an apocalyptic number.

14491949200 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 14491949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18485888256).

14491949200 is an abundant number, since it is smaller than the sum of its proper divisors (22479827312).

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

14491949200 is a wasteful number, since it uses less digits than its factorization.

14491949200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 14491949200 in words is "fourteen billion, four hundred ninety-one million, nine hundred forty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 367 400 425 680 734 850 1360 1468 1700 1835 2936 3400 3670 5807 5872 6239 6800 7340 9175 11614 12478 14680 18350 23228 24956 29035 29360 31195 36700 46456 49912 58070 62390 73400 92912 98719 99824 116140 124780 145175 146800 155975 197438 232280 249560 290350 311950 394876 464560 493595 499120 580700 623900 789752 987190 1161400 1247800 1579504 1974380 2131169 2322800 2467975 2495600 3948760 4262338 4935950 7897520 8524676 9871900 10655845 17049352 19743800 21311690 34098704 36229873 39487600 42623380 53279225 72459746 85246760 106558450 144919492 170493520 181149365 213116900 289838984 362298730 426233800 579677968 724597460 852467600 905746825 1449194920 1811493650 2898389840 3622987300 7245974600 14491949200