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12147913910440 = 23571114931698353
BaseRepresentation
bin1011000011000110100000…
…0101111110100010101000
31121000022220000012021202201
42300301220011332202220
53043012411430113230
641500401414305544
72362441426344010
oct260615005764250
947008800167681
1012147913910440
1139639a0785aa0
12144241b9582b4
136a170aa11909
142ddd682a4c40
15160edd7d45ca
hexb0c6817e8a8

12147913910440 has 256 divisors, whose sum is σ = 34320905280000. Its totient is φ = 3759314042880.

The previous prime is 12147913910369. The next prime is 12147913910507. The reversal of 12147913910440 is 4401931974121.

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 63 ways as a sum of consecutive naturals, for example, 1454313304 + ... + 1454321656.

It is an arithmetic number, because the mean of its divisors is an integer number (134066036250).

Almost surely, 212147913910440 is an apocalyptic number.

12147913910440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12147913910440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160452640000).

12147913910440 is an abundant number, since it is smaller than the sum of its proper divisors (22172991369560).

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

12147913910440 is a wasteful number, since it uses less digits than its factorization.

12147913910440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700 (or 11696 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 12147913910440 in words is "twelve trillion, one hundred forty-seven billion, nine hundred thirteen million, nine hundred ten thousand, four hundred forty".