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13424240322 = 234372419293
BaseRepresentation
bin11001000000010010…
…11010011011000010
31021122120002001210000
430200021122123002
5204443101142242
610100024020430
7653444105613
oct144011323302
937576061700
1013424240322
1157696a7499
122727901716
13135c24c78c
14914c3dc0a
15538802a4c
hex32025a6c2

13424240322 has 80 divisors (see below), whose sum is σ = 31024747512. Its totient is φ = 4335275520.

The previous prime is 13424240299. The next prime is 13424240339. The reversal of 13424240322 is 22304242431.

13424240322 is a `hidden beast` number, since 13 + 4 + 242 + 403 + 2 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12356323281 + 1067917041 = 111159^2 + 32679^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1439908 + ... + 1449200.

Almost surely, 213424240322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13424240322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15512373756).

13424240322 is an abundant number, since it is smaller than the sum of its proper divisors (17600507190).

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

13424240322 is a wasteful number, since it uses less digits than its factorization.

13424240322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 13424240322 its reverse (22304242431), we get a palindrome (35728482753).

The spelling of 13424240322 in words is "thirteen billion, four hundred twenty-four million, two hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 241 333 482 666 723 999 1446 1998 2169 2997 4338 5994 6507 8917 9293 13014 17834 18586 19521 26751 27879 39042 53502 55758 80253 83637 160506 167274 240759 250911 343841 481518 501822 687682 722277 752733 1031523 1444554 1505466 2063046 2239613 3094569 4479226 6189138 6718839 9283707 13437678 18567414 20156517 27851121 40313034 55702242 60469551 82865681 120939102 165731362 181408653 248597043 362817306 497194086 745791129 1491582258 2237373387 4474746774 6712120161 13424240322