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3314201442144 = 25334522931689
BaseRepresentation
bin110000001110100101110…
…011001011011101100000
3102201211112101201022102220
4300032211303023131200
5413244441032122034
611014304554511040
7461305000310025
oct60164563133540
912654471638386
103314201442144
1110685aa34971a
12456393435480
131b06b290b1c8
14b65a018b54c
155b323a77749
hex303a5ccb760

3314201442144 has 24 divisors (see below), whose sum is σ = 8699778785880. Its totient is φ = 1104733814016.

The previous prime is 3314201442143. The next prime is 3314201442203. The reversal of 3314201442144 is 4412441024133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314201442143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17261465749 + ... + 17261465940.

It is an arithmetic number, because the mean of its divisors is an integer number (362490782745).

Almost surely, 23314201442144 is an apocalyptic number.

It is an amenable number.

3314201442144 is an abundant number, since it is smaller than the sum of its proper divisors (5385577343736).

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

3314201442144 is a wasteful number, since it uses less digits than its factorization.

3314201442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34522931702 (or 34522931694 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 3314201442144 its reverse (4412441024133), we get a palindrome (7726642466277).

The spelling of 3314201442144 in words is "three trillion, three hundred fourteen billion, two hundred one million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 34522931689 69045863378 103568795067 138091726756 207137590134 276183453512 414275180268 552366907024 828550360536 1104733814048 1657100721072 3314201442144