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12354220344 = 2334779138637
BaseRepresentation
bin10111000000101111…
…00111000100111000
31011212222122102022110
423200113213010320
5200300140022334
65401521452320
7615102066054
oct134027470470
934788572273
1012354220344
11526a6a9664
1224894a10a0
13121b66796b
14852aa6c64
154c48deae9
hex2e05e7138

12354220344 has 64 divisors (see below), whose sum is σ = 31942195200. Its totient is φ = 3979407744.

The previous prime is 12354220343. The next prime is 12354220349. The reversal of 12354220344 is 44302245321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12354220343) 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, 19794 + ... + 158430.

It is an arithmetic number, because the mean of its divisors is an integer number (499096800).

Almost surely, 212354220344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12354220344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15971097600).

12354220344 is an abundant number, since it is smaller than the sum of its proper divisors (19587974856).

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

12354220344 is a wasteful number, since it uses less digits than its factorization.

12354220344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138772 (or 138768 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 12354220344 its reverse (44302245321), we get a palindrome (56656465665).

The spelling of 12354220344 in words is "twelve billion, three hundred fifty-four million, two hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 47 79 94 141 158 188 237 282 316 376 474 564 632 948 1128 1896 3713 7426 11139 14852 22278 29704 44556 89112 138637 277274 415911 554548 831822 1109096 1663644 3327288 6515939 10952323 13031878 19547817 21904646 26063756 32856969 39095634 43809292 52127512 65713938 78191268 87618584 131427876 156382536 262855752 514759181 1029518362 1544277543 2059036724 3088555086 4118073448 6177110172 12354220344