Search a number
-
+
14244433000 = 2353719107101
BaseRepresentation
bin11010100010000100…
…01100110001101000
31100202201102011121121
431101002030301220
5213133033324000
610313243345024
71012663453120
oct152102146150
940681364547
1014244433000
11604a67a386
122916522174
1314601526a5
14991b43c80
15585817b1a
hex35108cc68

14244433000 has 128 divisors (see below), whose sum is σ = 40098988800. Its totient is φ = 4626720000.

The previous prime is 14244432941. The next prime is 14244433067. The reversal of 14244433000 is 33444241.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 79450 + ... + 186550.

It is an arithmetic number, because the mean of its divisors is an integer number (313273350).

Almost surely, 214244433000 is an apocalyptic number.

14244433000 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 14244433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049494400).

14244433000 is an abundant number, since it is smaller than the sum of its proper divisors (25854555800).

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

14244433000 is a wasteful number, since it uses less digits than its factorization.

14244433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107148 (or 107134 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 14244433000 its reverse (33444241), we get a palindrome (14277877241).

The spelling of 14244433000 in words is "fourteen billion, two hundred forty-four million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1750 1900 2375 2660 3325 3500 3800 4750 5320 6650 7000 9500 13300 16625 19000 26600 33250 66500 107101 133000 214202 428404 535505 749707 856808 1071010 1499414 2034919 2142020 2677525 2998828 3748535 4069838 4284040 5355050 5997656 7497070 8139676 10174595 10710100 13387625 14244433 14994140 16279352 18742675 20349190 21420200 26775250 28488866 29988280 37485350 40698380 50872975 53550500 56977732 71222165 74970700 81396760 93713375 101745950 107101000 113955464 142444330 149941400 187426750 203491900 254364875 284888660 356110825 374853500 406983800 508729750 569777320 712221650 749707000 1017459500 1424443300 1780554125 2034919000 2848886600 3561108250 7122216500 14244433000