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14020440240 = 2435101578401
BaseRepresentation
bin11010000111010111…
…01111000010110000
31100012002221011022110
431003223233002300
5212203213041430
610235122405320
71004303530032
oct150353570260
940162834273
1014020440240
115a4519a2a4
122873500840
1314259177b1
149700b7c52
15570d1e7b0
hex343aef0b0

14020440240 has 80 divisors (see below), whose sum is σ = 43893770976. Its totient is φ = 3701760000.

The previous prime is 14020440227. The next prime is 14020440241. The reversal of 14020440240 is 4204402041.

14020440240 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 (80).

It is a super-2 number, since 2×140204402402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14020440241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264961 + ... + 313440.

Almost surely, 214020440240 is an apocalyptic number.

14020440240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14020440240 is an abundant number, since it is smaller than the sum of its proper divisors (29873330736).

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

14020440240 is a wasteful number, since it uses less digits than its factorization.

14020440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578518 (or 578512 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 14020440240 its reverse (4204402041), we get a palindrome (18224842281).

The spelling of 14020440240 in words is "fourteen billion, twenty million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 578401 1156802 1735203 2313604 2892005 3470406 4627208 5784010 6940812 8676015 9254416 11568020 13881624 17352030 23136040 27763248 34704060 46272080 58418501 69408120 116837002 138816240 175255503 233674004 292092505 350511006 467348008 584185010 701022012 876277515 934696016 1168370020 1402044024 1752555030 2336740040 2804088048 3505110060 4673480080 7010220120 14020440240