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13224003040 = 2551922719163
BaseRepresentation
bin11000101000011011…
…00100010111100000
31021010121021221212101
430110031210113200
5204040321044130
610024112140144
7645463112503
oct142415442740
937117257771
1013224003040
115676672236
122690837654
131329911491
148d63d913a
15525e4d1ca
hex3143645e0

13224003040 has 96 divisors (see below), whose sum is σ = 33032603520. Its totient is φ = 4988865024.

The previous prime is 13224003031. The next prime is 13224003047. The reversal of 13224003040 is 4030042231.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 13224002999 and 13224003017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224003047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680499 + ... + 699661.

It is an arithmetic number, because the mean of its divisors is an integer number (344089620).

Almost surely, 213224003040 is an apocalyptic number.

13224003040 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 13224003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516301760).

13224003040 is an abundant number, since it is smaller than the sum of its proper divisors (19808600480).

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

13224003040 is a wasteful number, since it uses less digits than its factorization.

13224003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19424 (or 19416 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 13224003040 its reverse (4030042231), we get a palindrome (17254045271).

The spelling of 13224003040 in words is "thirteen billion, two hundred twenty-four million, three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 227 304 380 454 608 760 908 1135 1520 1816 2270 3040 3632 4313 4540 7264 8626 9080 17252 18160 19163 21565 34504 36320 38326 43130 69008 76652 86260 95815 138016 153304 172520 191630 306608 345040 364097 383260 613216 690080 728194 766520 1456388 1533040 1820485 2912776 3066080 3640970 4350001 5825552 7281940 8700002 11651104 14563880 17400004 21750005 29127760 34800008 43500010 58255520 69600016 82650019 87000020 139200032 165300038 174000040 330600076 348000080 413250095 661200152 696000160 826500190 1322400304 1653000380 2644800608 3306000760 6612001520 13224003040