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14133323000 = 235347833623
BaseRepresentation
bin11010010100110100…
…10110010011111000
31100110222100012100102
431022122112103320
5212421112314000
610254234054532
71010144156216
oct151232262370
940428305312
1014133323000
115aa298a835
1228a527a448
13144311c024
1498109dcb6
1557abbb3d5
hex34a6964f8

14133323000 has 128 divisors (see below), whose sum is σ = 34192005120. Its totient is φ = 5464873600.

The previous prime is 14133322981. The next prime is 14133323003. The reversal of 14133323000 is 32333141.

14133323000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133323003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3899189 + ... + 3902811.

It is an arithmetic number, because the mean of its divisors is an integer number (267125040).

Almost surely, 214133323000 is an apocalyptic number.

14133323000 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 14133323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17096002560).

14133323000 is an abundant number, since it is smaller than the sum of its proper divisors (20058682120).

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

14133323000 is a wasteful number, since it uses less digits than its factorization.

14133323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 14133323000 its reverse (32333141), we get a palindrome (14165656141).

The spelling of 14133323000 in words is "fourteen billion, one hundred thirty-three million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 83 94 100 125 166 188 200 235 250 332 376 415 470 500 664 830 940 1000 1175 1660 1880 2075 2350 3320 3623 3901 4150 4700 5875 7246 7802 8300 9400 10375 11750 14492 15604 16600 18115 19505 20750 23500 28984 31208 36230 39010 41500 47000 72460 78020 83000 90575 97525 144920 156040 170281 181150 195050 300709 340562 362300 390100 452875 487625 601418 681124 724600 780200 851405 905750 975250 1202836 1362248 1503545 1702810 1811500 1950500 2405672 3007090 3405620 3623000 3901000 4257025 6014180 6811240 7517725 8514050 12028360 14133323 15035450 17028100 21285125 28266646 30070900 34056200 37588625 42570250 56533292 60141800 70666615 75177250 85140500 113066584 141333230 150354500 170281000 282666460 300709000 353333075 565332920 706666150 1413332300 1766665375 2826664600 3533330750 7066661500 14133323000