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2311421478912 = 2113271319294161
BaseRepresentation
bin100001101000101011011…
…101001100100000000000
322011222011221022010022200
4201220223131030200000
5300332242344311122
64525504040033200
7325665115253640
oct41505335144000
98158157263280
102311421478912
118112a5191257
12313b76462800
13139c7370c510
147dc32858520
15401d32335ac
hex21a2b74c800

2311421478912 has 2304 divisors, whose sum is σ = 9315528768000. Its totient is φ = 535088332800.

The previous prime is 2311421478841. The next prime is 2311421478959. The reversal of 2311421478912 is 2198741241132.

2311421478912 is a `hidden beast` number, since 2 + 31 + 142 + 1 + 478 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37892155362 + ... + 37892155422.

It is an arithmetic number, because the mean of its divisors is an integer number (4043198250).

Almost surely, 22311421478912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311421478912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657764384000).

2311421478912 is an abundant number, since it is smaller than the sum of its proper divisors (7004107289088).

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

2311421478912 is a wasteful number, since it uses less digits than its factorization.

2311421478912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 2311421478912 in words is "two trillion, three hundred eleven billion, four hundred twenty-one million, four hundred seventy-eight thousand, nine hundred twelve".