Search a number
-
+
14442002211340 = 22511142346131739
BaseRepresentation
bin1101001000101000101001…
…1010010110001000001100
31220010122022222001201212101
43102022022122112020030
53343104210031230330
650414321512244444
73020254164224164
oct322121232261014
956118288051771
1014442002211340
114668900823040
121752b593a0724
13809b4b3b4582
1437cdd4ab15a4
151a0a09e7b4ca
hexd228a69620c

14442002211340 has 48 divisors (see below), whose sum is σ = 33108565271040. Its totient is φ = 5247946514880.

The previous prime is 14442002211289. The next prime is 14442002211359. The reversal of 14442002211340 is 4311220024441.

It is a junction number, because it is equal to n+sod(n) for n = 14442002211299 and 14442002211308.

It is an unprimeable number.

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, 22752810 + ... + 23378929.

It is an arithmetic number, because the mean of its divisors is an integer number (689761776480).

Almost surely, 214442002211340 is an apocalyptic number.

14442002211340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442002211340 is an abundant number, since it is smaller than the sum of its proper divisors (18666563059700).

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

14442002211340 is a wasteful number, since it uses less digits than its factorization.

14442002211340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46133182 (or 46133180 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14442002211340 its reverse (4311220024441), we get a palindrome (18753222235781).

The spelling of 14442002211340 in words is "fourteen trillion, four hundred forty-two billion, two million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1423 2846 5692 7115 14230 15653 28460 31306 62612 78265 156530 313060 46131739 92263478 184526956 230658695 461317390 507449129 922634780 1014898258 2029796516 2537245645 5074491290 10148982580 65645464597 131290929194 262581858388 328227322985 656454645970 722100110567 1312909291940 1444200221134 2888400442268 3610500552835 7221001105670 14442002211340