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14230032520 = 23511192297433
BaseRepresentation
bin11010100000010110…
…10001000010001000
31100201201022112212111
431100023101002020
5213120342020040
610312010552104
71012430165164
oct152013210210
940651275774
1014230032520
116042534060
122911738634
13145a17cbb2
1498dc75ca4
15584420dea
hex3502d1088

14230032520 has 128 divisors (see below), whose sum is σ = 36932112000. Its totient is φ = 4880148480.

The previous prime is 14230032497. The next prime is 14230032521. The reversal of 14230032520 is 2523003241.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14230032491 and 14230032500.

It is not an unprimeable number, because it can be changed into a prime (14230032521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1910724 + ... + 1918156.

It is an arithmetic number, because the mean of its divisors is an integer number (288532125).

Almost surely, 214230032520 is an apocalyptic number.

14230032520 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 14230032520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18466056000).

14230032520 is an abundant number, since it is smaller than the sum of its proper divisors (22702079480).

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

14230032520 is a wasteful number, since it uses less digits than its factorization.

14230032520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7703 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 14230032520 its reverse (2523003241), we get a palindrome (16753035761).

The spelling of 14230032520 in words is "fourteen billion, two hundred thirty million, thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 229 380 418 440 458 760 836 916 1045 1145 1672 1832 2090 2290 2519 4180 4351 4580 5038 7433 8360 8702 9160 10076 12595 14866 17404 20152 21755 25190 29732 34808 37165 43510 47861 50380 59464 74330 81763 87020 95722 100760 141227 148660 163526 174040 191444 239305 282454 297320 327052 382888 408815 478610 564908 654104 706135 817630 957220 1129816 1412270 1553497 1635260 1702157 1914440 2824540 3106994 3270520 3404314 5649080 6213988 6808628 7767485 8510785 12427976 13617256 15534970 17021570 18723727 31069940 32340983 34043140 37447454 62139880 64681966 68086280 74894908 93618635 129363932 149789816 161704915 187237270 258727864 323409830 355750813 374474540 646819660 711501626 748949080 1293639320 1423003252 1778754065 2846006504 3557508130 7115016260 14230032520