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13240455440 = 2451715316359
BaseRepresentation
bin11000101010011000…
…10101000100010000
31021011202020211022112
430111030111010100
5204104024033230
610025500524452
7646053004622
oct142514250420
937152224275
1013240455440
11568498a163
122696250728
131330151c24
148d867cc12
155275ecd95
hex315315110

13240455440 has 80 divisors (see below), whose sum is σ = 32621304960. Its totient is φ = 4980602880.

The previous prime is 13240455421. The next prime is 13240455497. The reversal of 13240455440 is 4455404231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13240455397 and 13240455406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2078981 + ... + 2085339.

It is an arithmetic number, because the mean of its divisors is an integer number (407766312).

Almost surely, 213240455440 is an apocalyptic number.

13240455440 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 13240455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16310652480).

13240455440 is an abundant number, since it is smaller than the sum of its proper divisors (19380849520).

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

13240455440 is a wasteful number, since it uses less digits than its factorization.

13240455440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 13240455440 its reverse (4455404231), we get a palindrome (17695859671).

The spelling of 13240455440 in words is "thirteen billion, two hundred forty million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1531 3062 6124 6359 7655 12248 12718 15310 24496 25436 26027 30620 31795 50872 52054 61240 63590 101744 104108 108103 122480 127180 130135 208216 216206 254360 260270 416432 432412 508720 520540 540515 864824 1041080 1081030 1729648 2082160 2162060 4324120 8648240 9735629 19471258 38942516 48678145 77885032 97356290 155770064 165505693 194712580 331011386 389425160 662022772 778850320 827528465 1324045544 1655056930 2648091088 3310113860 6620227720 13240455440