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13424214440 = 2357213526853
BaseRepresentation
bin11001000000010010…
…10100000110101000
31021122120000202021102
430200021110012220
5204443044330230
610100023300532
7653443640300
oct144011240650
937576022242
1013424214440
115769689aaa
1227278aa748
13135c240a70
14914c34600
155387ea045
hex3202541a8

13424214440 has 96 divisors (see below), whose sum is σ = 37838654280. Its totient is φ = 4248534528.

The previous prime is 13424214421. The next prime is 13424214443. The reversal of 13424214440 is 4441242431.

It can be written as a sum of positive squares in 4 ways, for example, as 5892404644 + 7531809796 = 76762^2 + 86786^2 .

It is a super-2 number, since 2×134242144402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13424214443) 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 23 ways as a sum of consecutive naturals, for example, 237947 + ... + 288906.

Almost surely, 213424214440 is an apocalyptic number.

13424214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13424214440 is an abundant number, since it is smaller than the sum of its proper divisors (24414439840).

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

13424214440 is a wasteful number, since it uses less digits than its factorization.

13424214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526891 (or 526880 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 13424214440 its reverse (4441242431), we get a palindrome (17865456871).

The spelling of 13424214440 in words is "thirteen billion, four hundred twenty-four million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 5096 6370 12740 25480 526853 1053706 2107412 2634265 3687971 4214824 5268530 6849089 7375942 10537060 13698178 14751884 18439855 21074120 25815797 27396356 29503768 34245445 36879710 47943623 51631594 54792712 68490890 73759420 95887246 103263188 129078985 136981780 147518840 191774492 206526376 239718115 258157970 273963560 335605361 383548984 479436230 516315940 671210722 958872460 1032631880 1342421444 1678026805 1917744920 2684842888 3356053610 6712107220 13424214440