Search a number
-
+
14312032434100 = 2252317451483673
BaseRepresentation
bin1101000001000100011110…
…0110111111011110110100
31212200012212010222222002001
43100101013212333132310
53333442020300342400
650234505033025044
73005003335313632
oct320210746773664
955605763888061
1014312032434100
1146187762167a5
121731926855184
137ca80786223b
143769c5632352
1519c44ead7a6a
hexd04479bf7b4

14312032434100 has 36 divisors (see below), whose sum is σ = 31155082408044. Its totient is φ = 5706753614080.

The previous prime is 14312032434061. The next prime is 14312032434151. The reversal of 14312032434100 is 143423021341.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2793638130724 + 11518394303376 = 1671418^2 + 3393876^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225710137 + ... + 225773536.

It is an arithmetic number, because the mean of its divisors is an integer number (865418955779).

Almost surely, 214312032434100 is an apocalyptic number.

14312032434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14312032434100 is an abundant number, since it is smaller than the sum of its proper divisors (16843049973944).

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

14312032434100 is a wasteful number, since it uses less digits than its factorization.

14312032434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451484004 (or 451483997 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14312032434100 its reverse (143423021341), we get a palindrome (14455455455441).

The spelling of 14312032434100 in words is "fourteen trillion, three hundred twelve billion, thirty-two million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 317 634 1268 1585 3170 6340 7925 15850 31700 451483673 902967346 1805934692 2257418365 4514836730 9029673460 11287091825 22574183650 45148367300 143120324341 286240648682 572481297364 715601621705 1431203243410 2862406486820 3578008108525 7156016217050 14312032434100