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14043201012 = 2234421102953
BaseRepresentation
bin11010001010000101…
…00011110111110100
31100020200202112020000
431011002203313310
5212230024413022
610241254311300
71005001145001
oct150502436764
940220675200
1014043201012
115a57025855
12287b058530
13142a5566c9
149731208a8
15572d186ac
hex3450a3df4

14043201012 has 60 divisors (see below), whose sum is σ = 36799260036. Its totient is φ = 4669902720.

The previous prime is 14043200953. The next prime is 14043201013. The reversal of 14043201012 is 21010234041.

14043201012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2054264976 + 11988936036 = 45324^2 + 109494^2 .

It is a super-2 number, since 2×140432010122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14043201013) by changing a digit.

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, 84928 + ... + 187880.

Almost surely, 214043201012 is an apocalyptic number.

14043201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14043201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18399630018).

14043201012 is an abundant number, since it is smaller than the sum of its proper divisors (22756059024).

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

14043201012 is a wasteful number, since it uses less digits than its factorization.

14043201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103390 (or 103379 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14043201012 its reverse (21010234041), we get a palindrome (35053435053).

The spelling of 14043201012 in words is "fourteen billion, forty-three million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 421 842 1263 1684 2526 3789 5052 7578 11367 15156 22734 34101 45468 68202 102953 136404 205906 308859 411812 617718 926577 1235436 1853154 2779731 3706308 5559462 8339193 11118924 16678386 33356772 43343213 86686426 130029639 173372852 260059278 390088917 520118556 780177834 1170266751 1560355668 2340533502 3510800253 4681067004 7021600506 14043201012