| Base | Representation |
|---|---|
| bin | 11101000111101011101… |
| … | …100101001110100000000 |
| 3 | 21002022020002022020012200 |
| 4 | 131013223230221310000 |
| 5 | 230241240210102000 |
| 6 | 4131144340553200 |
| 7 | 264401321400216 |
| oct | 35075354516400 |
| 9 | 7068202266180 |
| 10 | 2001114144000 |
| 11 | 701738846754 |
| 12 | 2839b50b2800 |
| 13 | 116920327b8a |
| 14 | 6cbd6830cb6 |
| 15 | 370c0c09500 |
| hex | 1d1ebb29d00 |
2001114144000 has 432 divisors, whose sum is σ = 7448919725520. Its totient is φ = 515227238400.
The previous prime is 2001114143989. The next prime is 2001114144011. The reversal of 2001114144000 is 4414111002.
2001114144000 is a `hidden beast` number, since 200 + 1 + 11 + 414 + 40 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2001114143989) and next prime (2001114144011).
It can be written as a sum of positive squares in 8 ways, for example, as 1155126253824 + 845987890176 = 1074768^2 + 919776^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
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, 8232202 + ... + 8471798.
It is an arithmetic number, because the mean of its divisors is an integer number (17242869735).
Almost surely, 22001114144000 is an apocalyptic number.
2001114144000 is a gapful number since it is divisible by the number (20) 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 2001114144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724459862760).
2001114144000 is an abundant number, since it is smaller than the sum of its proper divisors (5447805581520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2001114144000 is a wasteful number, since it uses less digits than its factorization.
2001114144000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 239663 (or 239636 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 2001114144000 its reverse (4414111002), we get a palindrome (2005528255002).
The spelling of 2001114144000 in words is "two trillion, one billion, one hundred fourteen million, one hundred forty-four thousand".
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