Search a number
-
+
12404430000 = 243254137827
BaseRepresentation
bin10111000110101110…
…01001010010110000
31012000111010100000100
423203113021102300
5200401013230000
65410513552400
7616251625644
oct134327112260
935014110010
1012404430000
115295a82946
1224a2275700
131228b97611
14859616c24
154c900ba00
hex2e35c94b0

12404430000 has 150 divisors (see below), whose sum is σ = 43380398204. Its totient is φ = 3307824000.

The previous prime is 12404429969. The next prime is 12404430011. The reversal of 12404430000 is 3440421.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21087 + ... + 158913.

Almost surely, 212404430000 is an apocalyptic number.

12404430000 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 12404430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21690199102).

12404430000 is an abundant number, since it is smaller than the sum of its proper divisors (30975968204).

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

12404430000 is a wasteful number, since it uses less digits than its factorization.

12404430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137861 (or 137837 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12404430000 its reverse (3440421), we get a palindrome (12407870421).

The spelling of 12404430000 in words is "twelve billion, four hundred four million, four hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 137827 275654 413481 551308 689135 826962 1102616 1240443 1378270 1653924 2067405 2205232 2480886 2756540 3307848 3445675 4134810 4961772 5513080 6202215 6615696 6891350 8269620 9923544 10337025 11026160 12404430 13782700 16539240 17228375 19847088 20674050 24808860 27565400 31011075 33078480 34456750 41348100 49617720 51685125 55130800 62022150 68913500 82696200 86141875 99235440 103370250 124044300 137827000 155055375 165392400 172283750 206740500 248088600 258425625 275654000 310110750 344567500 413481000 496177200 516851250 620221500 689135000 775276875 826962000 1033702500 1240443000 1378270000 1550553750 2067405000 2480886000 3101107500 4134810000 6202215000 12404430000