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140821226288568 = 2332719397106934651
BaseRepresentation
bin100000000001001101111111…
…001010110111010110111000
3200110121101012101101110111200
4200001031333022313112320
5121424203332412213233
61215300213412254200
741442666156413250
oct4001157712672670
9613541171343450
10140821226288568
1140962a46046791
121396411b911360
136076500131a27
1426abad874c960
15114313b029313
hex80137f2b75b8

140821226288568 has 384 divisors, whose sum is σ = 460415302464000. Its totient is φ = 37984347878400.

The previous prime is 140821226288537. The next prime is 140821226288569. The reversal of 140821226288568 is 865882622128041.

140821226288568 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 2 + 1 + 2 + 2 + 62 + 8 + 8 + 568 = 666.

140821226288568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140821226288569) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4063970043 + ... + 4064004693.

It is an arithmetic number, because the mean of its divisors is an integer number (1198998183500).

Almost surely, 2140821226288568 is an apocalyptic number.

140821226288568 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 140821226288568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230207651232000).

140821226288568 is an abundant number, since it is smaller than the sum of its proper divisors (319594076175432).

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

140821226288568 is a wasteful number, since it uses less digits than its factorization.

140821226288568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36155 (or 36148 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 140821226288568 in words is "one hundred forty trillion, eight hundred twenty-one billion, two hundred twenty-six million, two hundred eighty-eight thousand, five hundred sixty-eight".