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14234446600 = 23521119217923
BaseRepresentation
bin11010100000111000…
…00110101100001000
31100202000121210211221
431100130012230020
5213123004242400
610312245331424
71012512541213
oct152034065410
940660553757
1014234446600
116044a79460
122913106b74
13145b06708a
149906a477a
155849e3c1a
hex350706b08

14234446600 has 144 divisors (see below), whose sum is σ = 38106065520. Its totient is φ = 4903459200.

The previous prime is 14234446549. The next prime is 14234446621. The reversal of 14234446600 is 664443241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 785239 + ... + 803161.

It is an arithmetic number, because the mean of its divisors is an integer number (264625455).

Almost surely, 214234446600 is an apocalyptic number.

14234446600 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 14234446600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053032760).

14234446600 is an abundant number, since it is smaller than the sum of its proper divisors (23871618920).

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

14234446600 is a wasteful number, since it uses less digits than its factorization.

14234446600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17988 (or 17960 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 14234446600 its reverse (664443241), we get a palindrome (14898889841).

The spelling of 14234446600 in words is "fourteen billion, two hundred thirty-four million, four hundred forty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 361 380 418 440 475 550 722 760 836 950 1045 1100 1444 1672 1805 1900 2090 2200 2888 3610 3800 3971 4180 5225 7220 7942 8360 9025 10450 14440 15884 17923 18050 19855 20900 31768 35846 36100 39710 41800 71692 72200 79420 89615 99275 143384 158840 179230 197153 198550 340537 358460 394306 397100 448075 681074 716920 788612 794200 896150 985765 1362148 1577224 1702685 1792300 1971530 2724296 3405370 3584600 3745907 3943060 4928825 6470203 6810740 7491814 7886120 8513425 9857650 12940406 13621480 14983628 17026850 18729535 19715300 25880812 29967256 32351015 34053700 37459070 39430600 51761624 64702030 68107400 71172233 74918140 93647675 129404060 142344466 149836280 161755075 187295350 258808120 284688932 323510150 355861165 374590700 569377864 647020300 711722330 749181400 1294040600 1423444660 1779305825 2846889320 3558611650 7117223300 14234446600