| Base | Representation |
|---|---|
| bin | 11001111011100010000000… |
| … | …110010110100101011010000 |
| 3 | 112221210022200021212201000100 |
| 4 | 121323202000302310223100 |
| 5 | 104421431241401400000 |
| 6 | 1042314122110252400 |
| 7 | 33010162232452116 |
| oct | 3173420062645320 |
| 9 | 487708607781010 |
| 10 | 114042132450000 |
| 11 | 33378aa6772077 |
| 12 | 1095a1674b7100 |
| 13 | 4b83185b8c481 |
| 14 | 2023950b43ab6 |
| 15 | d2b76e4cba00 |
| hex | 67b880cb4ad0 |
114042132450000 has 720 divisors, whose sum is σ = 407902582563840. Its totient is φ = 29728335360000.
The previous prime is 114042132449983. The next prime is 114042132450007. The reversal of 114042132450000 is 54231240411.
114042132450000 is a `hidden beast` number, since 1 + 1 + 40 + 42 + 132 + 450 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-3 number, since 3×1140421324500003 (a number of 43 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (114042132450007) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20663547241 + ... + 20663552759.
It is an arithmetic number, because the mean of its divisors is an integer number (566531364672).
Almost surely, 2114042132450000 is an apocalyptic number.
114042132450000 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 114042132450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203951291281920).
114042132450000 is an abundant number, since it is smaller than the sum of its proper divisors (293860450113840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114042132450000 is an equidigital number, since it uses as much as digits as its factorization.
114042132450000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6582 (or 6553 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
Adding to 114042132450000 its reverse (54231240411), we get a palindrome (114096363690411).
The spelling of 114042132450000 in words is "one hundred fourteen trillion, forty-two billion, one hundred thirty-two million, four hundred fifty thousand".
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