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14404023202240 = 26576430367501
BaseRepresentation
bin1101000110011011001010…
…1011111011000111000000
31220000000022010212011200201
43101212302223323013000
53341443414414432430
650345041130254544
73014441060042140
oct321466253730700
956000263764621
1014404023202240
114653791649411
12174771a287454
138063a7c48819
1437b230aa4920
1519ea35b018ca
hexd19b2afb1c0

14404023202240 has 56 divisors (see below), whose sum is σ = 39199520292192. Its totient is φ = 4938522240000.

The previous prime is 14404023202187. The next prime is 14404023202241. The reversal of 14404023202240 is 4220232040441.

14404023202240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14404023202199 and 14404023202208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14404023202241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3215181511 + ... + 3215185990.

Almost surely, 214404023202240 is an apocalyptic number.

14404023202240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14404023202240 is an abundant number, since it is smaller than the sum of its proper divisors (24795497089952).

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

14404023202240 is an equidigital number, since it uses as much as digits as its factorization.

14404023202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430367525 (or 6430367515 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 14404023202240 its reverse (4220232040441), we get a palindrome (18624255242681).

The spelling of 14404023202240 in words is "fourteen trillion, four hundred four billion, twenty-three million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 6430367501 12860735002 25721470004 32151837505 45012572507 51442940008 64303675010 90025145014 102885880016 128607350020 180050290028 205771760032 225062862535 257214700040 360100580056 411543520064 450125725070 514429400080 720201160112 900251450140 1028858800160 1440402320224 1800502900280 2057717600320 2880804640448 3601005800560 7202011601120 14404023202240