Search a number
-
+
14300134220200 = 235288007812443
BaseRepresentation
bin1101000000011000001001…
…1010111010000110101000
31212122002010221102002000011
43100012002122322012220
53333243133330021300
650225220241021304
73004102441211443
oct320060232720650
955562127362004
1014300134220200
11461371aa66574
12172b566024834
137c965c81819a
143761b734c65a
1519bea5270eba
hexd01826ba1a8

14300134220200 has 48 divisors (see below), whose sum is σ = 33248230771680. Its totient is φ = 5719981652160.

The previous prime is 14300134220191. The next prime is 14300134220213. The reversal of 14300134220200 is 202243100341.

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 11 ways as a sum of consecutive naturals, for example, 17195179 + ... + 18007621.

It is an arithmetic number, because the mean of its divisors is an integer number (692671474410).

Almost surely, 214300134220200 is an apocalyptic number.

14300134220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14300134220200 is an abundant number, since it is smaller than the sum of its proper divisors (18948096551480).

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

14300134220200 is a wasteful number, since it uses less digits than its factorization.

14300134220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900466 (or 900457 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14300134220200 its reverse (202243100341), we get a palindrome (14502377320541).

The spelling of 14300134220200 in words is "fourteen trillion, three hundred billion, one hundred thirty-four million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 88007 176014 352028 440035 704056 812443 880070 1624886 1760140 2200175 3249772 3520280 4062215 4400350 6499544 8124430 8800700 16248860 17601400 20311075 32497720 40622150 81244300 162488600 71500671101 143001342202 286002684404 357503355505 572005368808 715006711010 1430013422020 1787516777525 2860026844040 3575033555050 7150067110100 14300134220200