| Base | Representation |
|---|---|
| bin | 11001111100111110100000… |
| … | …111000011011111000000000 |
| 3 | 112222010211001020212001102210 |
| 4 | 121330332200320123320000 |
| 5 | 104430043144442240000 |
| 6 | 1042431505514142120 |
| 7 | 33020306442523263 |
| oct | 3174764070337000 |
| 9 | 488124036761383 |
| 10 | 114141455040000 |
| 11 | 33407134787aa3 |
| 12 | 10975466421940 |
| 13 | 4b8c65423ba9b |
| 14 | 2028693c2acda |
| 15 | d2e134007350 |
| hex | 67cfa0e1be00 |
114141455040000 has 800 divisors, whose sum is σ = 383574338421120. Its totient is φ = 30151069696000.
The previous prime is 114141455039993. The next prime is 114141455040001. The reversal of 114141455040000 is 40554141411.
114141455040000 is digitally balanced in base 3, 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 (800).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a self number, because there is not a number n which added to its sum of digits gives 114141455040000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (114141455040001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50349118867 + ... + 50349121133.
Almost surely, 2114141455040000 is an apocalyptic number.
114141455040000 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 114141455040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191787169210560).
114141455040000 is an abundant number, since it is smaller than the sum of its proper divisors (269432883381120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114141455040000 is an equidigital number, since it uses as much as digits as its factorization.
114141455040000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2780 (or 2749 counting only the distinct ones).
The product of its (nonzero) digits is 6400, while the sum is 30.
The spelling of 114141455040000 in words is "one hundred fourteen trillion, one hundred forty-one billion, four hundred fifty-five million, forty thousand".
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