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12444880080840 = 23353832053131893
BaseRepresentation
bin1011010100011000110010…
…1010000000111111001000
31122001201102002102210200120
42311012030222000333020
53112344103300041330
642245033214103240
72423053505215164
oct265061452007710
948051362383616
1012444880080840
113a689314061a9
12148ba991aab20
136c3716142b7c
1431049a515ca4
15168abe96ac10
hexb518ca80fc8

12444880080840 has 128 divisors (see below), whose sum is σ = 37450636554240. Its totient is φ = 3308332502016.

The previous prime is 12444880080823. The next prime is 12444880080923. The reversal of 12444880080840 is 4808008844421.

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, 94289934 + ... + 94421826.

It is an arithmetic number, because the mean of its divisors is an integer number (292583098080).

Almost surely, 212444880080840 is an apocalyptic number.

12444880080840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444880080840 is an abundant number, since it is smaller than the sum of its proper divisors (25005756473400).

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

12444880080840 is a wasteful number, since it uses less digits than its factorization.

12444880080840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134343 (or 134339 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 51.

The spelling of 12444880080840 in words is "twelve trillion, four hundred forty-four billion, eight hundred eighty million, eighty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 383 766 1149 1532 1915 2053 2298 3064 3830 4106 4596 5745 6159 7660 8212 9192 10265 11490 12318 15320 16424 20530 22980 24636 30795 41060 45960 49272 61590 82120 123180 131893 246360 263786 395679 527572 659465 786299 791358 1055144 1318930 1572598 1582716 1978395 2358897 2637860 3145196 3165432 3931495 3956790 4717794 5275720 6290392 7862990 7913580 9435588 11794485 15725980 15827160 18871176 23588970 31451960 47177940 50515019 94355880 101030038 151545057 202060076 252575095 270776329 303090114 404120152 505150190 541552658 606180228 757725285 812328987 1010300380 1083105316 1212360456 1353881645 1515450570 1624657974 2020600760 2166210632 2707763290 3030901140 3249315948 4061644935 5415526580 6061802280 6498631896 8123289870 10831053160 16246579740 32493159480 103707334007 207414668014 311122002021 414829336028 518536670035 622244004042 829658672056 1037073340070 1244488008084 1555610010105 2074146680140 2488976016168 3111220020210 4148293360280 6222440040420 12444880080840