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140909966208 = 27321129596797
BaseRepresentation
bin1000001100111011100…
…0110111001110000000
3111110201020221221201100
42003032320313032000
54302040422404313
6144422205334400
713115610644004
oct2031670671600
9443636857640
10140909966208
115483a003230
1223386567400
1310398267a3b
146b6a420704
1539eaa6b173
hex20cee37380

140909966208 has 768 divisors, whose sum is σ = 477169056000. Its totient is φ = 39512309760.

The previous prime is 140909966167. The next prime is 140909966221. The reversal of 140909966208 is 802669909041.

140909966208 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 0 + 9 + 9 + 6 + 620 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1452680016 + ... + 1452680112.

It is an arithmetic number, because the mean of its divisors is an integer number (621313875).

Almost surely, 2140909966208 is an apocalyptic number.

140909966208 is a gapful number since it is divisible by the number (18) 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 140909966208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238584528000).

140909966208 is an abundant number, since it is smaller than the sum of its proper divisors (336259089792).

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

140909966208 is a wasteful number, since it uses less digits than its factorization.

140909966208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 140909966208 in words is "one hundred forty billion, nine hundred nine million, nine hundred sixty-six thousand, two hundred eight".