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12143142033440 = 2551138318014393
BaseRepresentation
bin1011000010110100101110…
…1010101101100000100000
31120222212120110001211010112
42300231023222231200200
53042423123330032230
641454252112350452
72362212244144115
oct260551352554040
946885513054115
1012143142033440
11396197211a1a0
121441509845428
136a112a205b62
142dda3462690c
15160d0e8ded95
hexb0b4baad820

12143142033440 has 96 divisors (see below), whose sum is σ = 31377903814656. Its totient is φ = 4404158556160.

The previous prime is 12143142033431. The next prime is 12143142033443. The reversal of 12143142033440 is 4433024134121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12143142033397 and 12143142033406.

It is not an unprimeable number, because it can be changed into a prime (12143142033443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8333117 + ... + 9681276.

It is an arithmetic number, because the mean of its divisors is an integer number (326853164736).

Almost surely, 212143142033440 is an apocalyptic number.

12143142033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12143142033440 is an abundant number, since it is smaller than the sum of its proper divisors (19234761781216).

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

12143142033440 is a wasteful number, since it uses less digits than its factorization.

12143142033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18014802 (or 18014794 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 12143142033440 its reverse (4433024134121), we get a palindrome (16576166167561).

The spelling of 12143142033440 in words is "twelve trillion, one hundred forty-three billion, one hundred forty-two million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 383 440 766 880 1532 1760 1915 3064 3830 4213 6128 7660 8426 12256 15320 16852 21065 30640 33704 42130 61280 67408 84260 134816 168520 337040 674080 18014393 36028786 72057572 90071965 144115144 180143930 198158323 288230288 360287860 396316646 576460576 720575720 792633292 990791615 1441151440 1585266584 1981583230 2882302880 3170533168 3963166460 6341066336 6899512519 7926332920 13799025038 15852665840 27598050076 31705331680 34497562595 55196100152 68995125190 75894637709 110392200304 137990250380 151789275418 220784400608 275980500760 303578550836 379473188545 551961001520 607157101672 758946377090 1103922003040 1214314203344 1517892754180 2428628406688 3035785508360 6071571016720 12143142033440