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12344408180 = 22513439711383
BaseRepresentation
bin10110111111100100…
…01011100001110100
31011212022011220112222
423133302023201310
5200240132030210
65400531301512
7614622511136
oct133762134164
934768156488
1012344408180
115265107635
12248614a898
131219610750
14851671056
154c3b02655
hex2dfc8b874

12344408180 has 96 divisors (see below), whose sum is σ = 28863631104. Its totient is φ = 4405653504.

The previous prime is 12344408179. The next prime is 12344408213. The reversal of 12344408180 is 8180444321.

It is a self number, because there is not a number n which added to its sum of digits gives 12344408180.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078769 + ... + 1090151.

It is an arithmetic number, because the mean of its divisors is an integer number (300662824).

Almost surely, 212344408180 is an apocalyptic number.

12344408180 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 12344408180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431815552).

12344408180 is an abundant number, since it is smaller than the sum of its proper divisors (16519222924).

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

12344408180 is a wasteful number, since it uses less digits than its factorization.

12344408180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545 (or 11543 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 12344408180 in words is "twelve billion, three hundred forty-four million, four hundred eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 97 130 172 194 215 260 388 430 485 559 860 970 1118 1261 1940 2236 2522 2795 4171 5044 5590 6305 8342 11180 11383 12610 16684 20855 22766 25220 41710 45532 54223 56915 83420 108446 113830 147979 216892 227660 271115 295958 489469 542230 591916 739895 978938 1084460 1104151 1479790 1957876 2208302 2447345 2959580 4416604 4894690 5520755 6363097 9789380 11041510 12726194 14353963 22083020 25452388 28707926 31815485 47478493 57415852 63630970 71769815 94956986 127261940 143539630 189913972 237392465 287079260 474784930 617220409 949569860 1234440818 2468881636 3086102045 6172204090 12344408180