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14210330000 = 245410913037
BaseRepresentation
bin11010011110000000…
…00110110110010000
31100200100020120002112
431033000012312100
5213100321030000
610310024404452
71012100545346
oct151700066620
940610216075
1014210330000
1160323a7289
122907016728
131456071cb9
1498b3c7996
1558282d235
hex34f006d90

14210330000 has 100 divisors (see below), whose sum is σ = 34722931980. Its totient is φ = 5631552000.

The previous prime is 14210329997. The next prime is 14210330027. The reversal of 14210330000 is 3301241.

It can be written as a sum of positive squares in 10 ways, for example, as 8408156416 + 5802173584 = 91696^2 + 76172^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1083482 + ... + 1096518.

Almost surely, 214210330000 is an apocalyptic number.

14210330000 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 14210330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17361465990).

14210330000 is an abundant number, since it is smaller than the sum of its proper divisors (20512601980).

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

14210330000 is a wasteful number, since it uses less digits than its factorization.

14210330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13174 (or 13153 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 14210330000 its reverse (3301241), we get a palindrome (14213631241).

The spelling of 14210330000 in words is "fourteen billion, two hundred ten million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 400 436 500 545 625 872 1000 1090 1250 1744 2000 2180 2500 2725 4360 5000 5450 8720 10000 10900 13037 13625 21800 26074 27250 43600 52148 54500 65185 68125 104296 109000 130370 136250 208592 218000 260740 272500 325925 521480 545000 651850 1042960 1090000 1303700 1421033 1629625 2607400 2842066 3259250 5214800 5684132 6518500 7105165 8148125 11368264 13037000 14210330 16296250 22736528 26074000 28420660 32592500 35525825 56841320 65185000 71051650 113682640 130370000 142103300 177629125 284206600 355258250 568413200 710516500 888145625 1421033000 1776291250 2842066000 3552582500 7105165000 14210330000