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140066419268736 = 27322353241413867
BaseRepresentation
bin11111110110001111000001…
…001010100101110010000000
3200100221012220120210222121100
4133312033001022211302000
5121324322011313044421
61213521342534254400
741334315304536012
oct3766170112456200
9610835816728540
10140066419268736
11406a1920175984
12138619884b7400
13602028c06354c
14268337252c1b2
15112d6b0594c26
hex7f63c12a5c80

140066419268736 has 384 divisors, whose sum is σ = 430294454029440. Its totient is φ = 43634322800640.

The previous prime is 140066419268719. The next prime is 140066419268777. The reversal of 140066419268736 is 637862914660041.

140066419268736 is a `hidden beast` number, since 1 + 400 + 6 + 6 + 4 + 192 + 6 + 8 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338226475 + ... + 338640341.

It is an arithmetic number, because the mean of its divisors is an integer number (1120558474035).

Almost surely, 2140066419268736 is an apocalyptic number.

140066419268736 is a gapful number since it is divisible by the number (16) 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 140066419268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215147227014720).

140066419268736 is an abundant number, since it is smaller than the sum of its proper divisors (290228034760704).

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

140066419268736 is a wasteful number, since it uses less digits than its factorization.

140066419268736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414204 (or 414189 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 140066419268736 in words is "one hundred forty trillion, sixty-six billion, four hundred nineteen million, two hundred sixty-eight thousand, seven hundred thirty-six".