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13840037216 = 25617090183
BaseRepresentation
bin11001110001110111…
…00011010101100000
31022201112110201212222
430320323203111200
5211321022142331
610205200010212
7666653242505
oct147073432540
938645421788
1013840037216
115962381895
122823000968
1313c7432345
149541574ac
15560086b7b
hex338ee3560

13840037216 has 24 divisors (see below), whose sum is σ = 27694258704. Its totient is φ = 6806574720.

The previous prime is 13840037143. The next prime is 13840037221. The reversal of 13840037216 is 61273004831.

13840037216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3543140 + ... + 3547043.

It is an arithmetic number, because the mean of its divisors is an integer number (1153927446).

Almost surely, 213840037216 is an apocalyptic number.

13840037216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13840037216 is an abundant number, since it is smaller than the sum of its proper divisors (13854221488).

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

13840037216 is an equidigital number, since it uses as much as digits as its factorization.

13840037216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090254 (or 7090246 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

It can be divided in two parts, 138400 and 37216, that added together give a cube (175616 = 563).

The spelling of 13840037216 in words is "thirteen billion, eight hundred forty million, thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 7090183 14180366 28360732 56721464 113442928 226885856 432501163 865002326 1730004652 3460009304 6920018608 13840037216