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14450140000 = 25546171171
BaseRepresentation
bin11010111010100101…
…11010001101100000
31101022001111011120101
431131102322031200
5214043213440000
610345512352144
71021042110022
oct153522721540
941261434511
1014450140000
11614580006a
1229733a5654
1314939574ca
149b11b0012
155988ece6a
hex35d4ba360

14450140000 has 120 divisors (see below), whose sum is σ = 35637536088. Its totient is φ = 5765760000.

The previous prime is 14450139997. The next prime is 14450140007. The reversal of 14450140000 is 4105441.

14450140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14450140000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14450140007) 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 19 ways as a sum of consecutive naturals, for example, 12339415 + ... + 12340585.

Almost surely, 214450140000 is an apocalyptic number.

14450140000 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 14450140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818768044).

14450140000 is an abundant number, since it is smaller than the sum of its proper divisors (21187396088).

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

14450140000 is an equidigital number, since it uses as much as digits as its factorization.

14450140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 14450140000 its reverse (4105441), we get a palindrome (14454245441).

The spelling of 14450140000 in words is "fourteen billion, four hundred fifty million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 617 625 800 1000 1171 1234 1250 2000 2342 2468 2500 3085 4000 4684 4936 5000 5855 6170 9368 9872 10000 11710 12340 15425 18736 19744 20000 23420 24680 29275 30850 37472 46840 49360 58550 61700 77125 93680 98720 117100 123400 146375 154250 187360 234200 246800 292750 308500 385625 468400 493600 585500 617000 722507 731875 771250 936800 1171000 1234000 1445014 1463750 1542500 2342000 2468000 2890028 2927500 3085000 3612535 4684000 5780056 5855000 6170000 7225070 11560112 11710000 12340000 14450140 18062675 23120224 23420000 28900280 36125350 57800560 72250700 90313375 115601120 144501400 180626750 289002800 361253500 451566875 578005600 722507000 903133750 1445014000 1806267500 2890028000 3612535000 7225070000 14450140000