Search a number
-
+
14288001400 = 2352371930811
BaseRepresentation
bin11010100111010000…
…11001100101111000
31100212202101200020001
431103220121211320
5213230212021100
610321441242344
71014033002521
oct152350314570
940782350201
1014288001400
116072227a22
1229290333b4
1314691984ca
14997845848
15589571d6a
hex353a19978

14288001400 has 48 divisors (see below), whose sum is σ = 34117448040. Its totient is φ = 5560732800.

The previous prime is 14288001389. The next prime is 14288001439. The reversal of 14288001400 is 410088241.

14288001400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 958006 + ... + 972805.

Almost surely, 214288001400 is an apocalyptic number.

14288001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14288001400 is an abundant number, since it is smaller than the sum of its proper divisors (19829446640).

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

14288001400 is a wasteful number, since it uses less digits than its factorization.

14288001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930864 (or 1930855 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 14288001400 its reverse (410088241), we get a palindrome (14698089641).

The spelling of 14288001400 in words is "fourteen billion, two hundred eighty-eight million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 1930811 3861622 7723244 9654055 15446488 19308110 38616220 48270275 71440007 77232440 96540550 142880014 193081100 285760028 357200035 386162200 571520056 714400070 1428800140 1786000175 2857600280 3572000350 7144000700 14288001400