| Base | Representation |
|---|---|
| bin | 111100101010101010… |
| … | …111101111000000000 |
| 3 | 20020010202011222212000 |
| 4 | 330222222331320000 |
| 5 | 2031401421303000 |
| 6 | 45531453104000 |
| 7 | 4464145254162 |
| oct | 745252757000 |
| 9 | 206122158760 |
| 10 | 65140416000 |
| 11 | 25698080750 |
| 12 | 1075b488000 |
| 13 | 61b171056a |
| 14 | 321d466932 |
| 15 | 1a63b94000 |
| hex | f2aabde00 |
65140416000 has 1280 divisors, whose sum is σ = 275768064000. Its totient is φ = 15003648000.
The previous prime is 65140415999. The next prime is 65140416001. The reversal of 65140416000 is 61404156.
65140416000 is a `hidden beast` number, since 6 + 5 + 14 + 0 + 41 + 600 + 0 = 666.
65140416000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (65140415999) and next prime (65140416001).
It is a tau number, because it is divible by the number of its divisors (1280).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (65140416001) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 437183926 + ... + 437184074.
It is an arithmetic number, because the mean of its divisors is an integer number (215443800).
Almost surely, 265140416000 is an apocalyptic number.
65140416000 is a gapful number since it is divisible by the number (60) 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 65140416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137884032000).
65140416000 is an abundant number, since it is smaller than the sum of its proper divisors (210627648000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65140416000 is a wasteful number, since it uses less digits than its factorization.
65140416000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 225 (or 193 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The spelling of 65140416000 in words is "sixty-five billion, one hundred forty million, four hundred sixteen thousand".
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