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14233130000 = 24546123333
BaseRepresentation
bin11010100000101110…
…00101010000010000
31100201221010220210222
431100113011100100
5213122140130000
610312201212212
71012465415555
oct152027052020
940657126728
1014233130000
11604425a261
122912791068
13145a9c5a1b
14990440a2c
15584833a85
hex3505c5410

14233130000 has 100 divisors (see below), whose sum is σ = 35026247388. Its totient is φ = 5599680000.

The previous prime is 14233129973. The next prime is 14233130017. The reversal of 14233130000 is 3133241.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 14102987536 + 130142464 = 118756^2 + 11408^2 .

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, 598334 + ... + 621666.

Almost surely, 214233130000 is an apocalyptic number.

14233130000 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 14233130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513123694).

14233130000 is an abundant number, since it is smaller than the sum of its proper divisors (20793117388).

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

14233130000 is an equidigital number, since it uses as much as digits as its factorization.

14233130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23422 (or 23401 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 14233130000 its reverse (3133241), we get a palindrome (14236263241).

The spelling of 14233130000 in words is "fourteen billion, two hundred thirty-three million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 625 976 1000 1220 1250 1525 2000 2440 2500 3050 4880 5000 6100 7625 10000 12200 15250 23333 24400 30500 38125 46666 61000 76250 93332 116665 122000 152500 186664 233330 305000 373328 466660 583325 610000 933320 1166650 1423313 1866640 2333300 2846626 2916625 4666600 5693252 5833250 7116565 9333200 11386504 11666500 14233130 14583125 22773008 23333000 28466260 29166250 35582825 46666000 56932520 58332500 71165650 113865040 116665000 142331300 177914125 233330000 284662600 355828250 569325200 711656500 889570625 1423313000 1779141250 2846626000 3558282500 7116565000 14233130000