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According to The Synapse—A Primer by Kayt Sukel March 15, 2011
How many synapses are in the human brain?
Current studies estimate that the average adult male human brain contains approximately 86 billion neurons. As a single neuron has hundreds to thousands of synapses, the estimated number of these functional contacts is much higher, in the trillions (estimated at 0.15 quadrillion).
Similar figures from Wikipedia -- List of animals by number of neurons
Human 86,000,000,000 neurons in brain and 1 . 5 × 1 0 1 4 synapses for average adult.
1 . 5 × 1 0 1 4 = 1 0 1 4 . 1 7 6 0 9 1 2 6 ≈ 1 0 1 4