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14200330000 = 24544213373
BaseRepresentation
bin11010011100110011…
…11101011100010000
31100122122102111200011
431032121331130100
5213040241030000
610305030204304
71011616546003
oct151631753420
940578374604
1014200330000
11602779711a
1229037b3694
131453c8043c
14989d4353a
15581a052ba
hex34e67d710

14200330000 has 100 divisors (see below), whose sum is σ = 34472299708. Its totient is φ = 5664960000.

The previous prime is 14200329977. The next prime is 14200330009. The reversal of 14200330000 is 3300241.

It can be written as a sum of positive squares in 10 ways, for example, as 11120967936 + 3079362064 = 105456^2 + 55492^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (14200330009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4208314 + ... + 4211686.

Almost surely, 214200330000 is an apocalyptic number.

14200330000 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 14200330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236149854).

14200330000 is an abundant number, since it is smaller than the sum of its proper divisors (20271969708).

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

14200330000 is an equidigital number, since it uses as much as digits as its factorization.

14200330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 14200330000 its reverse (3300241), we get a palindrome (14203630241).

The spelling of 14200330000 in words is "fourteen billion, two hundred million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 421 500 625 842 1000 1250 1684 2000 2105 2500 3368 3373 4210 5000 6736 6746 8420 10000 10525 13492 16840 16865 21050 26984 33680 33730 42100 52625 53968 67460 84200 84325 105250 134920 168400 168650 210500 263125 269840 337300 421000 421625 526250 674600 842000 843250 1052500 1349200 1420033 1686500 2105000 2108125 2840066 3373000 4210000 4216250 5680132 6746000 7100165 8432500 11360264 14200330 16865000 22720528 28400660 33730000 35500825 56801320 71001650 113602640 142003300 177504125 284006600 355008250 568013200 710016500 887520625 1420033000 1775041250 2840066000 3550082500 7100165000 14200330000