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12032241421440 = 27356266792407
BaseRepresentation
bin1010111100010111100101…
…1110011100110010000000
31120121021022121000000100110
42233011321132130302000
53034114012300441230
641331311351351320
72351205105405522
oct257057136346200
946537277000313
1012032241421440
113919932669a49
121423b19382540
13693835259b56
142d85139a7a12
1515cebd6e94b0
hexaf17979cc80

12032241421440 has 64 divisors (see below), whose sum is σ = 38352769536960. Its totient is φ = 3208597711872.

The previous prime is 12032241421439. The next prime is 12032241421471. The reversal of 12032241421440 is 4412414223021.

12032241421440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12032241421398 and 12032241421407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3133394284 + ... + 3133398123.

It is an arithmetic number, because the mean of its divisors is an integer number (599262024015).

Almost surely, 212032241421440 is an apocalyptic number.

12032241421440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032241421440 is an abundant number, since it is smaller than the sum of its proper divisors (26320528115520).

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

12032241421440 is an equidigital number, since it uses as much as digits as its factorization.

12032241421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266792429 (or 6266792417 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12032241421440 its reverse (4412414223021), we get a palindrome (16444655644461).

The spelling of 12032241421440 in words is "twelve trillion, thirty-two billion, two hundred forty-one million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6266792407 12533584814 18800377221 25067169628 31333962035 37600754442 50134339256 62667924070 75201508884 94001886105 100268678512 125335848140 150403017768 188003772210 200537357024 250671696280 300806035536 376007544420 401074714048 501343392560 601612071072 752015088840 802149428096 1002686785120 1203224142144 1504030177680 2005373570240 2406448284288 3008060355360 4010747140480 6016120710720 12032241421440