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14448111312 = 2431274635119
BaseRepresentation
bin11010111010010110…
…01010111011010000
31101021220200002201210
431131023022323100
5214042204030222
610345401100120
71021015630335
oct153513127320
941256602653
1014448111312
116144644968
122972787640
1314933c6cbb
149b0c0298c
1559864bd0c
hex35d2caed0

14448111312 has 80 divisors (see below), whose sum is σ = 37706792960. Its totient is φ = 4766864256.

The previous prime is 14448111311. The next prime is 14448111313. The reversal of 14448111312 is 21311184441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14448111311) and next prime (14448111313).

It is a super-2 number, since 2×144481113122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14448111312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14448111311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2819889 + ... + 2825007.

It is an arithmetic number, because the mean of its divisors is an integer number (471334912).

Almost surely, 214448111312 is an apocalyptic number.

14448111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14448111312 is an abundant number, since it is smaller than the sum of its proper divisors (23258681648).

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

14448111312 is a wasteful number, since it uses less digits than its factorization.

14448111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720 (or 5714 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

Adding to 14448111312 its reverse (21311184441), we get a palindrome (35759295753).

The spelling of 14448111312 in words is "fourteen billion, four hundred forty-eight million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 463 508 762 926 1016 1389 1524 1852 2032 2778 3048 3704 5119 5556 6096 7408 10238 11112 15357 20476 22224 30714 40952 58801 61428 81904 117602 122856 176403 235204 245712 352806 470408 650113 705612 940816 1300226 1411224 1950339 2370097 2600452 2822448 3900678 4740194 5200904 7110291 7801356 9480388 10401808 14220582 15602712 18960776 28441164 31205424 37921552 56882328 113764656 301002319 602004638 903006957 1204009276 1806013914 2408018552 3612027828 4816037104 7224055656 14448111312