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14431434431112 = 2332229875268949
BaseRepresentation
bin1101001000000001010010…
…0001011101101010001000
31220002122001110220212200200
43102000110201131222020
53342421034203243422
650405413124132200
73016431253455246
oct322002441355210
956078043825620
1014431434431112
114664378567376
121750aaa237060
13808b55b9c98a
1437c6b1391796
151a05dc3172ac
hexd201485da88

14431434431112 has 48 divisors (see below), whose sum is σ = 39255812407500. Its totient is φ = 4789471683456.

The previous prime is 14431434431021. The next prime is 14431434431123. The reversal of 14431434431112 is 21113443413441.

14431434431112 is a `hidden beast` number, since 1 + 4 + 431 + 43 + 44 + 31 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14431139759556 + 294671556 = 3798834^2 + 17166^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437617987 + ... + 437650962.

Almost surely, 214431434431112 is an apocalyptic number.

14431434431112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14431434431112 is an abundant number, since it is smaller than the sum of its proper divisors (24824377976388).

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

14431434431112 is a wasteful number, since it uses less digits than its factorization.

14431434431112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875269190 (or 875269183 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 14431434431112 its reverse (21113443413441), we get a palindrome (35544877844553).

The spelling of 14431434431112 in words is "fourteen trillion, four hundred thirty-one billion, four hundred thirty-four million, four hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 229 458 687 916 1374 1832 2061 2748 4122 5496 8244 16488 875268949 1750537898 2625806847 3501075796 5251613694 7002151592 7877420541 10503227388 15754841082 21006454776 31509682164 63019364328 200436589321 400873178642 601309767963 801746357284 1202619535926 1603492714568 1803929303889 2405239071852 3607858607778 4810478143704 7215717215556 14431434431112