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14112103140 = 2232578400573
BaseRepresentation
bin11010010010010010…
…11001101011100100
31100102111102010011200
431021021121223210
5212400144300030
610252155202500
71006465616562
oct151111315344
940374363150
1014112103140
115a91a06a63
12289a146430
13143b8cc5b5
1497c338a32
15578dc8d60
hex349259ae4

14112103140 has 36 divisors (see below), whose sum is σ = 42806713404. Its totient is φ = 3763227456.

The previous prime is 14112103097. The next prime is 14112103147. The reversal of 14112103140 is 4130121141.

14112103140 is a `hidden beast` number, since 1 + 411 + 210 + 3 + 1 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11085562944 + 3026540196 = 105288^2 + 55014^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14112103147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39200107 + ... + 39200466.

Almost surely, 214112103140 is an apocalyptic number.

14112103140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14112103140 is an abundant number, since it is smaller than the sum of its proper divisors (28694610264).

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

14112103140 is a wasteful number, since it uses less digits than its factorization.

14112103140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78400588 (or 78400583 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14112103140 its reverse (4130121141), we get a palindrome (18242224281).

The spelling of 14112103140 in words is "fourteen billion, one hundred twelve million, one hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 78400573 156801146 235201719 313602292 392002865 470403438 705605157 784005730 940806876 1176008595 1411210314 1568011460 2352017190 2822420628 3528025785 4704034380 7056051570 14112103140