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14141334132 = 2234333113103
BaseRepresentation
bin11010010101110001…
…11010001001110100
31100111112102012120000
431022320322021310
5212430140143012
610255121511300
71010302233252
oct151270721164
940445365500
1014141334132
115aa7461702
1228a7aa2530
131444995543
149821875d2
1557b74eddc
hex34ae3a274

14141334132 has 60 divisors (see below), whose sum is σ = 36982161216. Its totient is φ = 4712003280.

The previous prime is 14141334121. The next prime is 14141334157. The reversal of 14141334132 is 23143314141.

14141334132 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 (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 14141334096 and 14141334105.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1072693 + ... + 1085795.

Almost surely, 214141334132 is an apocalyptic number.

14141334132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14141334132 is an abundant number, since it is smaller than the sum of its proper divisors (22840827084).

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

14141334132 is a wasteful number, since it uses less digits than its factorization.

14141334132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16450 (or 16439 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 14141334132 its reverse (23143314141), we get a palindrome (37284648273).

The spelling of 14141334132 in words is "fourteen billion, one hundred forty-one million, three hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3331 6662 9993 13103 13324 19986 26206 29979 39309 39972 52412 59958 78618 89937 117927 119916 157236 179874 235854 269811 353781 359748 471708 539622 707562 1061343 1079244 1415124 2122686 4245372 43646093 87292186 130938279 174584372 261876558 392814837 523753116 785629674 1178444511 1571259348 2356889022 3535333533 4713778044 7070667066 14141334132