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14133428000 = 25533533357
BaseRepresentation
bin11010010100110101…
…01111111100100000
31100110222112112101022
431022122233330200
5212421124144000
610254240225012
71010145104306
oct151232577440
940428475338
1014133428000
115aa2a5170a
1228a530b168
131443157a63
149810ca276
1557abdc585
hex34a6aff20

14133428000 has 48 divisors (see below), whose sum is σ = 34725842424. Its totient is φ = 5653369600.

The previous prime is 14133427963. The next prime is 14133428003. The reversal of 14133428000 is 82433141.

It can be written as a sum of positive squares in 4 ways, for example, as 733976464 + 13399451536 = 27092^2 + 115756^2 .

It is not an unprimeable number, because it can be changed into a prime (14133428003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1762679 + ... + 1770678.

Almost surely, 214133428000 is an apocalyptic number.

14133428000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14133428000 is an abundant number, since it is smaller than the sum of its proper divisors (20592414424).

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

14133428000 is an equidigital number, since it uses as much as digits as its factorization.

14133428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533382 (or 3533364 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 14133428000 in words is "fourteen billion, one hundred thirty-three million, four hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 3533357 7066714 14133428 17666785 28266856 35333570 56533712 70667140 88333925 113067424 141334280 176667850 282668560 353335700 441669625 565337120 706671400 883339250 1413342800 1766678500 2826685600 3533357000 7066714000 14133428000