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14243142344112 = 2432118991882793
BaseRepresentation
bin1100111101000011110101…
…1100001001110110110000
31212102122001002010210111200
43033100331130021312300
53331324423420002422
650143113111211200
73000014226233343
oct317207534116660
955378032123450
1014243142344112
1145a1534598530
1217204bb676b00
137c4179358196
1437352c1b845a
1519a76bb692ac
hexcf43d709db0

14243142344112 has 60 divisors (see below), whose sum is σ = 43484745191784. Its totient is φ = 4316103740160.

The previous prime is 14243142344111. The next prime is 14243142344131. The reversal of 14243142344112 is 21144324134241.

14243142344112 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 3 + 1 + 4 + 234 + 411 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14243142344111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4495939813 + ... + 4495942980.

Almost surely, 214243142344112 is an apocalyptic number.

14243142344112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14243142344112 is an abundant number, since it is smaller than the sum of its proper divisors (29241602847672).

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

14243142344112 is a wasteful number, since it uses less digits than its factorization.

14243142344112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8991882818 (or 8991882809 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 14243142344112 its reverse (21144324134241), we get a palindrome (35387466478353).

The spelling of 14243142344112 in words is "fourteen trillion, two hundred forty-three billion, one hundred forty-two million, three hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 8991882793 17983765586 26975648379 35967531172 53951296758 71935062344 80926945137 98910710723 107902593516 143870124688 161853890274 197821421446 215805187032 296732132169 323707780548 395642842892 431610374064 593464264338 647415561096 791285685784 890196396507 1186928528676 1294831122192 1582571371568 1780392793014 2373857057352 3560785586028 4747714114704 7121571172056 14243142344112