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14434443320 = 23511214292087
BaseRepresentation
bin11010111000101110…
…00010000000111000
31101020221221200202212
431130113002000320
5214030204141240
610344152114252
71020461513063
oct153427020070
941227850685
1014434443320
116137959a00
12296a095988
13149061ca2b
149ad0858da
1559734c165
hex35c5c2038

14434443320 has 96 divisors (see below), whose sum is σ = 35740504800. Its totient is φ = 5242702080.

The previous prime is 14434443319. The next prime is 14434443323. The reversal of 14434443320 is 2334443441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434443323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6915317 + ... + 6917403.

It is an arithmetic number, because the mean of its divisors is an integer number (372296925).

Almost surely, 214434443320 is an apocalyptic number.

14434443320 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 14434443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17870252400).

14434443320 is an abundant number, since it is smaller than the sum of its proper divisors (21306061480).

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

14434443320 is a wasteful number, since it uses less digits than its factorization.

14434443320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 14434443320 its reverse (2334443441), we get a palindrome (16768886761).

It can be divided in two parts, 14434 and 443320, that added together give a palindrome (457754).

The spelling of 14434443320 in words is "fourteen billion, four hundred thirty-four million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1429 2087 2420 2858 4174 4840 5716 7145 8348 10435 11432 14290 15719 16696 20870 22957 28580 31438 41740 45914 57160 62876 78595 83480 91828 114785 125752 157190 172909 183656 229570 252527 314380 345818 459140 505054 628760 691636 864545 918280 1010108 1262635 1383272 1729090 2020216 2525270 2982323 3458180 5050540 5964646 6916360 10101080 11929292 14911615 23858584 29823230 32805553 59646460 65611106 119292920 131222212 164027765 262444424 328055530 360861083 656111060 721722166 1312222120 1443444332 1804305415 2886888664 3608610830 7217221660 14434443320