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14120043320 = 2356149911597
BaseRepresentation
bin11010010011001111…
…01100001100111000
31100110001100112001102
431021213230030320
5212404212341240
610253041310532
71006623250025
oct151147541470
940401315042
1014120043320
115a9643a599
1228a0935448
13144044c726
1497d40454c
15579946815
hex3499ec338

14120043320 has 64 divisors (see below), whose sum is σ = 32358420000. Its totient is φ = 5543815680.

The previous prime is 14120043319. The next prime is 14120043337. The reversal of 14120043320 is 2334002141.

14120043320 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 14120043292 and 14120043301.

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 15 ways as a sum of consecutive naturals, for example, 1211762 + ... + 1223358.

Almost surely, 214120043320 is an apocalyptic number.

14120043320 is a gapful number since it is divisible by the number (10) 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 14120043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16179210000).

14120043320 is an abundant number, since it is smaller than the sum of its proper divisors (18238376680).

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

14120043320 is a wasteful number, since it uses less digits than its factorization.

14120043320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168 (or 12164 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14120043320 its reverse (2334002141), we get a palindrome (16454045461).

The spelling of 14120043320 in words is "fourteen billion, one hundred twenty million, forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 499 610 998 1220 1996 2440 2495 3992 4990 9980 11597 19960 23194 30439 46388 57985 60878 92776 115970 121756 152195 231940 243512 304390 463880 608780 707417 1217560 1414834 2829668 3537085 5659336 5786903 7074170 11573806 14148340 23147612 28296680 28934515 46295224 57869030 115738060 231476120 353001083 706002166 1412004332 1765005415 2824008664 3530010830 7060021660 14120043320