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14443411000 = 235383174017
BaseRepresentation
bin11010111001110010…
…01111011000111000
31101021120211022010011
431130321033120320
5214040003123000
610345112231304
71020630652654
oct153471173070
941246738104
1014443411000
116141a24507
12297109b534
13149243c755
149b033ba64
1559801e2ba
hex35ce4f638

14443411000 has 64 divisors (see below), whose sum is σ = 34204978080. Its totient is φ = 5707724800.

The previous prime is 14443410967. The next prime is 14443411001. The reversal of 14443411000 is 11434441.

It is a super-2 number, since 2×144434110002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14443411001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4009 + ... + 170008.

Almost surely, 214443411000 is an apocalyptic number.

14443411000 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 14443411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102489040).

14443411000 is an abundant number, since it is smaller than the sum of its proper divisors (19761567080).

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

14443411000 is a wasteful number, since it uses less digits than its factorization.

14443411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174121 (or 174107 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14443411000 its reverse (11434441), we get a palindrome (14454845441).

The spelling of 14443411000 in words is "fourteen billion, four hundred forty-three million, four hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 2075 3320 4150 8300 10375 16600 20750 41500 83000 174017 348034 696068 870085 1392136 1740170 3480340 4350425 6960680 8700850 14443411 17401700 21752125 28886822 34803400 43504250 57773644 72217055 87008500 115547288 144434110 174017000 288868220 361085275 577736440 722170550 1444341100 1805426375 2888682200 3610852750 7221705500 14443411000