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14344453420 = 22511438318269
BaseRepresentation
bin11010101101111111…
…01111110100101100
31101000200121201211121
431112333233310230
5213334140002140
610331215230324
71015316561623
oct152677576454
941020551747
1014344453420
1160a1085190
122943b183a4
131477aa257b
149a113c6ba
1558e4c364a
hex356fefd2c

14344453420 has 96 divisors (see below), whose sum is σ = 34033063680. Its totient is φ = 5033199360.

The previous prime is 14344453363. The next prime is 14344453421. The reversal of 14344453420 is 2435444341.

It is not an unprimeable number, because it can be changed into a prime (14344453421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776046 + ... + 794314.

It is an arithmetic number, because the mean of its divisors is an integer number (354511080).

Almost surely, 214344453420 is an apocalyptic number.

14344453420 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 14344453420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17016531840).

14344453420 is an abundant number, since it is smaller than the sum of its proper divisors (19688610260).

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

14344453420 is a wasteful number, since it uses less digits than its factorization.

14344453420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18415 (or 18413 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 14344453420 its reverse (2435444341), we get a palindrome (16779897761).

It can be divided in two parts, 14344 and 453420, that added together give a palindrome (467764).

The spelling of 14344453420 in words is "fourteen billion, three hundred forty-four million, four hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 83 86 110 166 172 215 220 332 415 430 473 830 860 913 946 1660 1826 1892 2365 3569 3652 4565 4730 7138 9130 9460 14276 17845 18260 18269 35690 36538 39259 71380 73076 78518 91345 157036 182690 196295 200959 365380 392590 401918 785180 785567 803836 1004795 1516327 1571134 2009590 3032654 3142268 3927835 4019180 6065308 7581635 7855670 8641237 15163270 15711340 16679597 17282474 30326540 33359194 34564948 43206185 65202061 66718388 83397985 86412370 130404122 166795970 172824740 260808244 326010305 333591940 652020610 717222671 1304041220 1434445342 2868890684 3586113355 7172226710 14344453420