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14141440 = 21151381
BaseRepresentation
bin110101111100…
…100000000000
3222121110102001
4311330200000
512110011230
61223033344
7231125455
oct65744000
928543361
1014141440
117a89745
12489b854
132c11921
141c4182c
1513950ca
hexd7c800

14141440 has 48 divisors (see below), whose sum is σ = 33955740. Its totient is φ = 5652480.

The previous prime is 14141429. The next prime is 14141471. The reversal of 14141440 is 4414141.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 123904 = 3744^2 + 352^2 .

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, 9550 + ... + 10930.

Almost surely, 214141440 is an apocalyptic number.

14141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977870).

14141440 is an abundant number, since it is smaller than the sum of its proper divisors (19814300).

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

14141440 is an equidigital number, since it uses as much as digits as its factorization.

14141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 14141440 is about 3760.5106036282. The cubic root of 14141440 is about 241.8231524477.

Adding to 14141440 its reverse (4414141), we get a palindrome (18555581).

The spelling of 14141440 in words is "fourteen million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1381 2048 2560 2762 5120 5524 6905 10240 11048 13810 22096 27620 44192 55240 88384 110480 176768 220960 353536 441920 707072 883840 1414144 1767680 2828288 3535360 7070720 14141440