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14243525000 = 23551015641
BaseRepresentation
bin11010100001111101…
…01111000110001000
31100202122201001001222
431100332233012020
5213132320300000
610313212101212
71012652651645
oct152076570610
940678631058
1014243525000
11604a10a171
122916164808
13145cbc5303
14991988dcc
155856d8a85
hex350faf188

14243525000 has 96 divisors (see below), whose sum is σ = 33717607560. Its totient is φ = 5640000000.

The previous prime is 14243524979. The next prime is 14243525011. The reversal of 14243525000 is 52534241.

It is a happy number.

14243525000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 187525636 + 14055999364 = 13694^2 + 118558^2 .

It is an unprimeable number.

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, 2522180 + ... + 2527820.

Almost surely, 214243525000 is an apocalyptic number.

14243525000 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 14243525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16858803780).

14243525000 is an abundant number, since it is smaller than the sum of its proper divisors (19474082560).

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

14243525000 is an equidigital number, since it uses as much as digits as its factorization.

14243525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 14243525000 in words is "fourteen billion, two hundred forty-three million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 625 808 1000 1010 1250 2020 2500 2525 3125 4040 5000 5050 5641 6250 10100 11282 12500 12625 20200 22564 25000 25250 28205 45128 50500 56410 63125 101000 112820 126250 141025 225640 252500 282050 315625 505000 564100 569741 631250 705125 1128200 1139482 1262500 1410250 2278964 2525000 2820500 2848705 3525625 4557928 5641000 5697410 7051250 11394820 14102500 14243525 17628125 22789640 28205000 28487050 35256250 56974100 70512500 71217625 113948200 141025000 142435250 284870500 356088125 569741000 712176250 1424352500 1780440625 2848705000 3560881250 7121762500 14243525000