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14441105320 = 235478818719
BaseRepresentation
bin11010111001100000…
…11100011110101000
31101021102111011022121
431130300130132220
5214033410332240
610344551001024
71020602240605
oct153460343650
941242434277
1014441105320
11614069a194
122970369174
131491b13145
149adcdb6ac
15597c1604a
hex35cc1c7a8

14441105320 has 64 divisors (see below), whose sum is σ = 33225292800. Its totient is φ = 5646474240.

The previous prime is 14441105303. The next prime is 14441105333. The reversal of 14441105320 is 2350114441.

14441105320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1651921 + ... + 1660639.

It is an arithmetic number, because the mean of its divisors is an integer number (519145200).

Almost surely, 214441105320 is an apocalyptic number.

14441105320 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 14441105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16612646400).

14441105320 is an abundant number, since it is smaller than the sum of its proper divisors (18784187480).

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

14441105320 is a wasteful number, since it uses less digits than its factorization.

14441105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14441105320 its reverse (2350114441), we get a palindrome (16791219761).

The spelling of 14441105320 in words is "fourteen billion, four hundred forty-one million, one hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 881 940 1762 1880 3524 4405 7048 8719 8810 17438 17620 34876 35240 41407 43595 69752 82814 87190 165628 174380 207035 331256 348760 409793 414070 819586 828140 1639172 1656280 2048965 3278344 4097930 7681439 8195860 15362878 16391720 30725756 38407195 61451512 76814390 153628780 307257560 361027633 722055266 1444110532 1805138165 2888221064 3610276330 7220552660 14441105320