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12140351514405 = 325269785589209
BaseRepresentation
bin1011000010101010010101…
…0101101110011100100101
31120222121100222012202122200
42300222211111232130211
53042401414441430110
641453111150045113
72362053141134112
oct260524525563445
946877328182580
1012140351514405
11396076aa27a14
121440a6b1a9799
136a0aa404816a
142dd84bb8d909
15160be99296c0
hexb0aa556e725

12140351514405 has 12 divisors (see below), whose sum is σ = 21043275958380. Its totient is φ = 6474854140992.

The previous prime is 12140351514289. The next prime is 12140351514427. The reversal of 12140351514405 is 50441515304121.

12140351514405 is a `hidden beast` number, since 1 + 21 + 40 + 3 + 5 + 151 + 440 + 5 = 666.

12140351514405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5954854226049 + 6185497288356 = 2440257^2 + 2487066^2 .

It is not a de Polignac number, because 12140351514405 - 215 = 12140351481637 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12140351514405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134892794560 + ... + 134892794649.

It is an arithmetic number, because the mean of its divisors is an integer number (1753606329865).

Almost surely, 212140351514405 is an apocalyptic number.

12140351514405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12140351514405 is a deficient number, since it is larger than the sum of its proper divisors (8902924443975).

12140351514405 is a wasteful number, since it uses less digits than its factorization.

12140351514405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269785589220 (or 269785589217 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 12140351514405 its reverse (50441515304121), we get a palindrome (62581866818526).

The spelling of 12140351514405 in words is "twelve trillion, one hundred forty billion, three hundred fifty-one million, five hundred fourteen thousand, four hundred five".

Divisors: 1 3 5 9 15 45 269785589209 809356767627 1348927946045 2428070302881 4046783838135 12140351514405