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14284512500 = 225510692
BaseRepresentation
bin11010100110110110…
…00101110011110100
31100212111211102100112
431103123011303310
5213223313400000
610321234402152
71013661232016
oct152333056364
940774742315
1014284512500
116070264735
122927a30358
13146854647b
149971b81b6
155890d3235
hex3536c5cf4

14284512500 has 54 divisors (see below), whose sum is σ = 31274627202. Its totient is φ = 5708460000.

The previous prime is 14284512481. The next prime is 14284512509. The reversal of 14284512500 is 521548241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 14284074256 + 438244 = 119516^2 + 662^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14284512509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13361966 + ... + 13363034.

It is an arithmetic number, because the mean of its divisors is an integer number (579159763).

Almost surely, 214284512500 is an apocalyptic number.

14284512500 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 14284512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637313601).

14284512500 is an abundant number, since it is smaller than the sum of its proper divisors (16990114702).

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

14284512500 is an frugal number, since it uses more digits than its factorization.

14284512500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The spelling of 14284512500 in words is "fourteen billion, two hundred eighty-four million, five hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1069 1250 2138 2500 3125 4276 5345 6250 10690 12500 21380 26725 53450 106900 133625 267250 534500 668125 1142761 1336250 2285522 2672500 3340625 4571044 5713805 6681250 11427610 13362500 22855220 28569025 57138050 114276100 142845125 285690250 571380500 714225625 1428451250 2856902500 3571128125 7142256250 14284512500