| Base | Representation |
|---|---|
| bin | 1000001010100111100… |
| … | …0110101001000000000 |
| 3 | 111102002222212210110000 |
| 4 | 2002221320311020000 |
| 5 | 4244303013410030 |
| 6 | 144240432240000 |
| 7 | 13064332346601 |
| oct | 2025170651000 |
| 9 | 442088783400 |
| 10 | 140289200640 |
| 11 | 54550661936 |
| 12 | 232326a0000 |
| 13 | 102c977b434 |
| 14 | 6b0bbcdda8 |
| 15 | 39b12ea860 |
| hex | 20a9e35200 |
140289200640 has 600 divisors, whose sum is σ = 533995405812. Its totient is φ = 35194798080.
The previous prime is 140289200581. The next prime is 140289200659. The reversal of 140289200640 is 46002982041.
140289200640 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 8 + 9 + 2 + 0 + 0 + 640 = 666.
140289200640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 109979783424 + 30309417216 = 331632^2 + 174096^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 140289200595 and 140289200604.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59925870 + ... + 59928210.
Almost surely, 2140289200640 is an apocalyptic number.
140289200640 is a gapful number since it is divisible by the number (10) 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 140289200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266997702906).
140289200640 is an abundant number, since it is smaller than the sum of its proper divisors (393706205172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
140289200640 is an equidigital number, since it uses as much as digits as its factorization.
140289200640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2410 (or 2368 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 140289200640 in words is "one hundred forty billion, two hundred eighty-nine million, two hundred thousand, six hundred forty".
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