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13440726400 = 27524200227
BaseRepresentation
bin11001000010010000…
…10011010110000000
31021200201002122102111
430201020103112000
5210011311221100
610101413225104
7654034201153
oct144110232600
937621078374
1013440726400
115777a37752
122731332194
1313627a265a
149170d1c9a
15539eac6ba
hex321213580

13440726400 has 48 divisors (see below), whose sum is σ = 33202802340. Its totient is φ = 5376289280.

The previous prime is 13440726379. The next prime is 13440726401. The reversal of 13440726400 is 462704431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440726401) 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 5 ways as a sum of consecutive naturals, for example, 2096914 + ... + 2103313.

Almost surely, 213440726400 is an apocalyptic number.

13440726400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13440726400 is an abundant number, since it is smaller than the sum of its proper divisors (19762075940).

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

13440726400 is an equidigital number, since it uses as much as digits as its factorization.

13440726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200251 (or 4200234 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 13440726400 in words is "thirteen billion, four hundred forty million, seven hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 4200227 8400454 16800908 21001135 33601816 42002270 67203632 84004540 105005675 134407264 168009080 210011350 268814528 336018160 420022700 537629056 672036320 840045400 1344072640 1680090800 2688145280 3360181600 6720363200 13440726400