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14144660208 = 243374677467
BaseRepresentation
bin11010010110001011…
…00110001011110000
31100111202200012002000
431023011212023300
5212432013111313
610255321054000
71010342425260
oct151305461360
940452605060
1014144660208
115aa9323628
1228a9027300
13144558b433
149827b17a0
1557bbaa673
hex34b1662f0

14144660208 has 80 divisors (see below), whose sum is σ = 46400482560. Its totient is φ = 4041330624.

The previous prime is 14144660207. The next prime is 14144660209. The reversal of 14144660208 is 80206644141.

It is a happy number.

14144660208 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 46 + 602 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (14144660207) and next prime (14144660209).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144660203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2335710 + ... + 2341757.

It is an arithmetic number, because the mean of its divisors is an integer number (580006032).

Almost surely, 214144660208 is an apocalyptic number.

14144660208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14144660208 is an abundant number, since it is smaller than the sum of its proper divisors (32255822352).

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

14144660208 is a wasteful number, since it uses less digits than its factorization.

14144660208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677491 (or 4677479 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14144660208 in words is "fourteen billion, one hundred forty-four million, six hundred sixty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4677467 9354934 14032401 18709868 28064802 32742269 37419736 42097203 56129604 65484538 74839472 84194406 98226807 112259208 126291609 130969076 168388812 196453614 224518416 252583218 261938152 294680421 336777624 392907228 505166436 523876304 589360842 673555248 785814456 884041263 1010332872 1178721684 1571628912 1768082526 2020665744 2357443368 3536165052 4714886736 7072330104 14144660208