Base | Representation |
---|---|
bin | 100001101011011101101… |
… | …001110011110010010000 |
3 | 22012020220021212010121202 |
4 | 201223131221303302100 |
5 | 300404403222130000 |
6 | 4531120434410332 |
7 | 326132160004604 |
oct | 41533551636220 |
9 | 8166807763552 |
10 | 2314411130000 |
11 | 812599823382 |
12 | 31466b7309a8 |
13 | 13a32bc0c428 |
14 | 80037929504 |
15 | 4030a930dd5 |
hex | 21adda73c90 |
2314411130000 has 200 divisors, whose sum is σ = 5729569950720. Its totient is φ = 904970880000.
The previous prime is 2314411129999. The next prime is 2314411130011. The reversal of 2314411130000 is 311144132.
2314411130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (200).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 465767516 + ... + 465772484.
Almost surely, 22314411130000 is an apocalyptic number.
2314411130000 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 2314411130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864784975360).
2314411130000 is an abundant number, since it is smaller than the sum of its proper divisors (3415158820720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2314411130000 is an equidigital number, since it uses as much as digits as its factorization.
2314411130000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6035 (or 6014 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
Adding to 2314411130000 its reverse (311144132), we get a palindrome (2314722274132).
The spelling of 2314411130000 in words is "two trillion, three hundred fourteen billion, four hundred eleven million, one hundred thirty thousand".
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