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14124101200 = 2452113210023
BaseRepresentation
bin11010010011101110…
…01010111001010000
31100110022222200102021
431021313022321100
5212411232214300
610253304301224
71010002610416
oct151167127120
940408880367
1014124101200
115a98761310
1228a2171814
131441240741
1497db7d2b6
15579e98d1a
hex349dcae50

14124101200 has 60 divisors (see below), whose sum is σ = 37017996768. Its totient is φ = 5136035200.

The previous prime is 14124101191. The next prime is 14124101203. The reversal of 14124101200 is 210142141.

It is a happy number.

14124101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124101203) 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 11 ways as a sum of consecutive naturals, for example, 1600612 + ... + 1609411.

Almost surely, 214124101200 is an apocalyptic number.

14124101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124101200 is an abundant number, since it is smaller than the sum of its proper divisors (22893895568).

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

14124101200 is a wasteful number, since it uses less digits than its factorization.

14124101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210052 (or 3210041 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14124101200 its reverse (210142141), we get a palindrome (14334243341).

The spelling of 14124101200 in words is "fourteen billion, one hundred twenty-four million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 3210023 6420046 12840092 16050115 25680184 32100230 35310253 51360368 64200460 70620506 80250575 128400920 141241012 160501150 176551265 256801840 282482024 321002300 353102530 564964048 642004600 706205060 882756325 1284009200 1412410120 1765512650 2824820240 3531025300 7062050600 14124101200