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14081114240 = 27522001741
BaseRepresentation
bin11010001110100110…
…01100000010000000
31100100100002201101122
431013103030002000
5212314231123430
610245131051412
71005641332124
oct150723140200
940310081348
1014081114240
115a764705a6
12288b8a0b68
13143536c47b
1497818d584
15576306ee5
hex3474cc080

14081114240 has 32 divisors (see below), whose sum is σ = 33662665260. Its totient is φ = 5632445440.

The previous prime is 14081114237. The next prime is 14081114261. The reversal of 14081114240 is 4241118041.

It can be written as a sum of positive squares in 2 ways, for example, as 13070891584 + 1010222656 = 114328^2 + 31784^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11000231 + ... + 11001510.

Almost surely, 214081114240 is an apocalyptic number.

14081114240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14081114240 is an abundant number, since it is smaller than the sum of its proper divisors (19581551020).

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

14081114240 is an equidigital number, since it uses as much as digits as its factorization.

14081114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22001760 (or 22001748 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 14081114240 in words is "fourteen billion, eighty-one million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 22001741 44003482 88006964 110008705 176013928 220017410 352027856 440034820 704055712 880069640 1408111424 1760139280 2816222848 3520278560 7040557120 14081114240