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13444420320 = 253259336403
BaseRepresentation
bin11001000010101100…
…11001001011100000
31021200222001022112100
430201112121023200
5210013232422240
610102024330400
7654110454462
oct144126311340
937628038470
1013444420320
11577a02aa81
122732613a00
131363496ac6
149177b4132
1553a48be30
hex3215992e0

13444420320 has 72 divisors (see below), whose sum is σ = 45879089256. Its totient is φ = 3585178368.

The previous prime is 13444420309. The next prime is 13444420321. The reversal of 13444420320 is 2302444431.

It is a happy number.

13444420320 is a `hidden beast` number, since 13 + 4 + 444 + 203 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444420321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4666762 + ... + 4669641.

It is an arithmetic number, because the mean of its divisors is an integer number (637209573).

Almost surely, 213444420320 is an apocalyptic number.

13444420320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13444420320 is an abundant number, since it is smaller than the sum of its proper divisors (32434668936).

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

13444420320 is a wasteful number, since it uses less digits than its factorization.

13444420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9336424 (or 9336413 counting only the distinct ones).

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

Adding to 13444420320 its reverse (2302444431), we get a palindrome (15746864751).

The spelling of 13444420320 in words is "thirteen billion, four hundred forty-four million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9336403 18672806 28009209 37345612 46682015 56018418 74691224 84027627 93364030 112036836 140046045 149382448 168055254 186728060 224073672 280092090 298764896 336110508 373456120 420138135 448147344 560184180 672221016 746912240 840276270 896294688 1120368360 1344442032 1493824480 1680552540 2240736720 2688884064 3361105080 4481473440 6722210160 13444420320