Search a number
-
+
14444210000 = 245411131311
BaseRepresentation
bin11010111001111000…
…10010011101010000
31101021122022220010202
431130330102131100
5214040204210000
610345141314332
71020640521263
oct153474223520
941248286122
1014444210000
11614241a840
1229714059a8
13149265c32c
149b04a8cda
1559812add5
hex35cf12750

14444210000 has 100 divisors (see below), whose sum is σ = 38150337984. Its totient is φ = 5252400000.

The previous prime is 14444209991. The next prime is 14444210017. The reversal of 14444210000 is 1244441.

It is a happy number.

14444210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 44345 + ... + 175655.

Almost surely, 214444210000 is an apocalyptic number.

14444210000 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 14444210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19075168992).

14444210000 is an abundant number, since it is smaller than the sum of its proper divisors (23706127984).

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

14444210000 is a wasteful number, since it uses less digits than its factorization.

14444210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131350 (or 131329 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14444210000 its reverse (1244441), we get a palindrome (14445454441).

The spelling of 14444210000 in words is "fourteen billion, four hundred forty-four million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 131311 262622 525244 656555 1050488 1313110 1444421 2100976 2626220 2888842 3282775 5252440 5777684 6565550 7222105 10504880 11555368 13131100 14444210 16413875 23110736 26262200 28888420 32827750 36110525 52524400 57776840 65655500 72221050 82069375 115553680 131311000 144442100 164138750 180552625 262622000 288884200 328277500 361105250 577768400 656555000 722210500 902763125 1313110000 1444421000 1805526250 2888842000 3611052500 7222105000 14444210000